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We review the infrared properties of the pure Yang-Mills correlators and discuss recent results concerning the two classes of low-momentum solutions for them reported in literature; i.e.
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The Gluon Is Massive: A Lattice Calculation of the Gluon Propagator in the Landau Gauge
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The hadron spectrum on a 18 3 × 42 18^{3}\times 42 lattice
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Studies of Confinement: How the Gluon Propagates
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Vanishing of zero momentum lattice gluon propagator and color confinement
D. Zwanziger · 1991
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The Operator product expansion of the QCD propagators
Martin Lavelle and Michael Oleszczuk · 1992
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Renormalizability of the critical limit of lattice gauge theory by BRS invariance
Daniel Zwanziger · 1993
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The Gluon propagator in momentum space
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Relating the QCD pomeron to an effective gluon mass
F. Halzen, G.I. Krein, and A.A. Natale · 1993
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A Precise determination of the running coupling in the SU(3) Yang-Mills theory
Martin Luscher, Rainer Sommer, Peter Weisz, and Ulli Wolff · 1994
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The Universal renormalization factors Z(1) / Z(3) and color confinement condition in nonAbelian gauge theory
T. Kugo · 1995
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Flow equations for the relevant part of the pure Yang- Mills action
Ulrich Ellwanger, Manfred Hirsch, and Axel Weber · 1996
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Three gluon vertex in arbitrary gauge and dimension
Andrei I. Davydychev, P. Osland, and O.V. Tarasov · 1996
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First lattice study of ghost propagators in SU(2) and SU(3) gauge theories
H. Suman and K. Schilling · 1996
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On the difficulty of computing higher twist corrections
G. Martinelli and Christopher T. Sachrajda · 1996
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Gribov copies in the minimal Landau gauge: The influence on gluon and ghost propagators
Attilio Cucchieri · 1997
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The Infrared behavior of gluon and ghost propagators in Landau gauge QCD
Lorenz von Smekal, Reinhard Alkofer, and Andreas Hauck · 1997
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α s \alpha_{s} from the nonperturbatively renormalised lattice three gluon vertex
B. Alles, D. Henty, H. Panagopoulos, C. Parrinello, C. Pittori, et al · 1997
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The heavy quark potential from Wilson’s exact renormalization group
Ulrich Ellwanger, Manfred Hirsch, and Axel Weber · 1998
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Lattice calculation of α s \alpha_{s} in momentum scheme
Philippe Boucaud, J.P. Leroy, J. Micheli, O. Pène, and C. Roiesnel · 1998
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Gauge fixing and gluon propagator in lambda gauges
A. Cucchieri and T. Mendes · 1998
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A solution to coupled Dyson-Schwinger equations for gluons and ghosts in Landau gauge
Lorenz von Smekal, Andreas Hauck, and Reinhard Alkofer · 1998
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Pion mass and decay constant
Pieter Maris, Craig D. Roberts, and Peter C. Tandy · 1998
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Asymptotic behaviour of the gluon propagator from lattice QCD
D. Becirevic et al · 1999
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Bethe-Salpeter study of vector meson masses and decay constants
Pieter Maris and Peter C. Tandy · 1999
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Three loop three linear vertices and four loop similar to MOM β \beta functions in massless QCD
K.G. Chetyrkin and A. Retey · 2000
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Test of the Kugo-Ojima confinement criterion in the lattice Landau gauge
Hideo Nakajima and Sadataka Furui · 2000
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Infrared behavior of the gluon propagator on a large volume lattice
Frederic D.R. Bonnet, Patrick O. Bowman, Derek B. Leinweber, and Anthony G. Williams · 2000
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Asymptotic scaling of the gluon propagator on the lattice
D. Becirevic et al · 2000
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Consistent OPE description of gluon two point and three point Green function?
Philippe Boucaud, A. Le Yaouanc, J.P. Leroy, J. Micheli, O. Pène, et al · 2000
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The Infrared behavior of QCD Green’s functions: Confinement dynamical symmetry breaking, and hadrons as relativistic bound states
Reinhard Alkofer and Lorenz von Smekal · 2001
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Infinite volume and continuum limits of the Landau gauge gluon propagator
Frederic D.R. Bonnet, Patrick O. Bowman, Derek B. Leinweber, Anthony G. Williams, and James M. Zanotti · 2001
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Problems on lattice gauge fixing
Leonardo Giusti, M.L. Paciello, C. Parrinello, S. Petrarca, and B. Taglienti · 2001
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Numerical study of gluon propagator and confinement scenario in minimal Coulomb gauge
Attilio Cucchieri and Daniel Zwanziger · 2001
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Testing Landau gauge OPE on the lattice with a ⟨ A 2 ⟩ \langle A^{2}\rangle condensate
Philippe Boucaud, A. Le Yaouanc, J.P. Leroy, J. Micheli, O. Pène, and J. Rodríguez-Quintero · 2001
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Remarks on the determination of the Landau gauge OPE for the asymmetric three gluon vertex
F. De Soto and J. Rodriguez-Quintero · 2001
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Verifying the Kugo-Ojima confinement criterion in Landau gauge QCD
Peter Watson and Reinhard Alkofer · 2001
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Practical algebraic renormalization
Pietro Antonio Grassi, Tobias Hurth, and Matthias Steinhauser · 2001
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Nonperturbative Landau gauge and infrared critical exponents in QCD
Daniel Zwanziger · 2002
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On the infrared exponent for gluon and ghost propagation in Landau gauge QCD
Christoph Lerche and Lorenz von Smekal · 2002
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Coulomb gauge QCD, confinement, and the constituent representation
Adam P. Szczepaniak and Eric S. Swanson · 2002
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The elusiveness of infrared critical exponents in Landau gauge Yang-Mills theories
C. S. Fischer, Reinhard Alkofer, and H. Reinhardt · 2002
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The Pinch technique to all orders
Daniele Binosi and Joannis Papavassiliou · 2002
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Coulomb energy, vortices, and confinement
Jeff Greensite and Stefan Olejnik · 2003
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Two-loop improved truncation of the ghost-gluon Dyson- Schwinger equations: Multiplicatively renormalizable propagators and nonperturbative running coupling
Jacques C. R. Bloch · 2003
Cited alongside, same era.
The Strong coupling constant at small momentum as an instanton detector
Philippe Boucaud, F. De Soto, A. Le Yaouanc, J.P. Leroy, J. Micheli, et al · 2003
Cited alongside, same era.
No confinement without Coulomb confinement
Daniel Zwanziger · 2003
Cited alongside, same era.
Quark propagator and vertex: Systematic corrections of hypercubic artifacts from lattice simulations
Philippe Boucaud, F. de Soto, J.P. Leroy, A. Le Yaouanc, J. Micheli, et al · 2003
Cited alongside, same era.
Unquenched gluon propagator in Landau gauge
Patrick O. Bowman, Urs M. Heller, Derek B. Leinweber, Maria B. Parappilly, and Anthony G. Williams · 2004
Cited alongside, same era.
Two-point functions of Coulomb gauge Yang-Mills theory
Peter Watson and Hugo Reinhardt · 2008
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Update: Accurate Determinations of α s \alpha_{s} from Realistic Lattice QCD
C.T.H. Davies et al · 2008
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On the infrared behavior of Landau gauge Yang-Mills theory
Christian S. Fischer, Axel Maas, and Jan M. Pawlowski · 2009
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Non-perturbative comparison of QCD effective charges
A. C. Aguilar, D. Binosi, J. Papavassiliou, and J. Rodriguez-Quintero · 2009
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Positivity issues for the pinch-technique gluon propagator and their resolution
John M. Cornwall · 2009
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Kugo-Ojima color confinement criterion and Gribov-Zwanziger horizon condition
Kei-Ichi Kondo · 2009
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Christian S. Fischer and Holger Gies · 2004
Cited alongside, same era.
Infrared behaviour and fixed points in Landau gauge QCD
Jan M. Pawlowski, Daniel F. Litim, Sergei Nedelko, and Lorenz von Smekal · 2004
Cited alongside, same era.
Non-perturbative Faddeev-Popov formula and infrared limit of QCD
Daniel Zwanziger · 2004
Cited alongside, same era.
Numerical study of the ghost-gluon vertex in Landau gauge
A. Cucchieri, T. Mendes, and A. Mihara · 2004
Cited alongside, same era.
Propagators in Coulomb gauge from SU(2) lattice gauge theory
Kurt Langfeld and Laurent Moyaerts · 2004
Cited alongside, same era.
Unquenched quark propagator in Landau gauge
Patrick O. Bowman, Urs M. Heller, Derek B. Leinweber, Maria B. Parappilly, Anthony G. Williams, et al · 2005
Cited alongside, same era.
The Gluon and ghost propagator and the influence of Gribov copies
A. Sternbeck, E.-M. Ilgenfritz, M. Muller-Preussker, and A. Schiller · 2005
Cited alongside, same era.
Uniqueness of infrared asymptotics in Landau gauge Yang- Mills theory II
Christian S. Fischer and Jan M. Pawlowski · 2009
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Yang-Mills Propagators and QCD
Marco Frasca · 2009
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Mapping a Massless Scalar Field Theory on a Yang-Mills Theory: Classical Case
Marco Frasca · 2009
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Gribov’s horizon and the ghost dressing function
Philippe Boucaud, J.P. Leroy, A. Le Yaouanc, J. Micheli, O. Pène, et al · 2009
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Ghost-gluon running coupling, power corrections and the determination of Λ MS ¯ \Lambda_{\overline{\rm MS}} .
Philippe Boucaud, F. De Soto, J.P. Leroy, A. Le Yaouanc, J. Micheli, O. Pène, and J. Rodríguez-Quintero · 2009
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Numerical test of the Gribov-Zwanziger scenario in Landau gauge
Attilio Cucchieri and Tereza Mendes · 2009
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Infrared Gluon and Ghost Propagators Exponents From Lattice QCD
O. Oliveira and P.J. Silva · 2009
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Does The Lattice Zero Momentum Gluon Propagator for Pure Gauge SU(3) Yang-Mills Theory Vanish in the Infinite Volume Limit?
O. Oliveira and P.J. Silva · 2009
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The Lattice infrared Landau gauge gluon propagator: The Infinite volume limit
O. Oliveira and P.J. Silva · 2009
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The lattice infrared Landau gauge gluon propagator: from finite volume to the infinite volume
O. Oliveira and P.J. Silva · 2009
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Gluon-propagator functional form in the Landau gauge in SU(3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function
Takumi Iritani, Hideo Suganuma, and Hideaki Iida · 2009
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Lattice QCD Analysis for Gluons
Hideo Suganuma, Takumi Iritani, Arata Yamamoto, and Hideaki Iida · 2009
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Lattice gluodynamics computation of Landau gauge Green’s functions in the deep infrared
I.L. Bogolubsky, E.M. Ilgenfritz, M. Muller-Preussker, and A. Sternbeck · 2009
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The Landau gauge gluon propagator in 4D SU(2) lattice gauge theory revisited: Gribov copies and scaling properties
I.L. Bogolubsky, E.-M. Ilgenfritz, M. Muller-Preussker, and A. Sternbeck · 2009
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Coulomb gauge gluon propagator and the Gribov formula
G. Burgio, M. Quandt, and H. Reinhardt · 2009
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Coulomb-gauge ghost and gluon propagators in SU(3) lattice Yang-Mills theory
Y. Nakagawa, A. Voigt, E.-M. Ilgenfritz, M. Muller-Preussker, A. Nakamura, et al · 2009
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Gluon chains and the quark-antiquark potential
Jeff Greensite and Stefan Olejnik · 2009
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Aspects of Confinement in Coulomb Gauge
Jeff Greensite · 2009
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Constituent Gluon Content of the Static Quark-Antiquark State in Coulomb Gauge
J. Greensite and S. Olejnik · 2009
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Coulomb gauge gluon propagator on anisotropic lattices
Yoshiyuki Nakagawa, Atsushi Nakamura, Takuya Saito, and Hiroshi Toki · 2009
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Coulomb gauge gluon propagator and the Gribov formula
G. Burgio, M. Quandt, and H. Reinhardt · 2009
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Quarks in Coulomb gauge perturbation theory
C. Popovici, P. Watson, and H. Reinhardt · 2009
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Pinch Technique: Theory and Applications
D. Binosi and J. Papavassiliou · 2009
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Unquenching the Landau Gauge Lattice Propagators and the Gribov Problem
Paulo J. Silva and Orlando Oliveira · 2010
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The Coulomb gauge ghost Dyson-Schwinger equation
Peter Watson and Hugo Reinhardt · 2010
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The low-momentum ghost dressing function and the gluon mass
Ph. Boucaud, M.E. Gomez, J.P. Leroy, A. Le Yaouanc, J. Micheli, et al · 2010
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Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate ⟨ A 2 ⟩ \langle A^{2}\rangle in the Landau gauge
D. Dudal, O. Oliveira, and N. Vandersickel · 2010
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Infrared propagators of Yang-Mills theory from perturbation theory
Matthieu Tissier and Nicolas Wschebor · 2010
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Infrared singularities in Landau gauge Yang-Mills theory
Reinhard Alkofer, Markus Q. Huber, and Kai Schwenzer · 2010
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Lattice QCD Study for Gluon Propagator and Gluon Spectral Function
Hideo Suganuma, Takumi Iritani, Arata Yamamoto, and Hideaki Iida · 2010
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Landau-gauge propagators in Yang-Mills theories at β = 0 \beta=0 : Massive solution versus conformal scaling
Attilio Cucchieri and Tereza Mendes · 2010
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Constructing non-perturbative gauges using correlation functions
Axel Maas · 2010
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SU(2) lattice gluon propagator: continuum limit, finite- volume effects and infrared mass scale m I R m_{IR}
V. G. Bornyakov, V. K. Mitrjushkin, and M. Muller-Preussker · 2010
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BRST symmetry versus Horizon condition in Yang-Mills theory
G. Burgio, M. Quandt, and H. Reinhardt · 2010
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Propagators in lattice Coulomb gauge and confinement mechanisms
Giuseppe Burgio, Markus Quandt, Mario Schrock, and Hugo Reinhardt · 2010
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Spectral sum for the color-Coulomb potential in SU(3) Coulomb gauge lattice Yang-Mills theory
Y. Nakagawa, A. Nakamura, T. Saito, and H. Toki · 2010
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Wilson Expansion of QCD Propagators at Three Loops: Operators of Dimension Two and Three
K.G. Chetyrkin and A. Maier · 2010
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Coulomb gauge confinement in the heavy quark limit
C. Popovici, P. Watson, and H. Reinhardt · 2010
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On the infrared scaling solution of SU(N) Yang-Mills theories in the maximally Abelian gauge
Markus Q. Huber, Kai Schwenzer, and Reinhard Alkofer · 2010
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QCD effective charges from lattice data
A.C. Aguilar, D. Binosi, and J. Papavassiliou · 2010
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Abelian anomaly and neutral pion production
H. L. L. Roberts, C. D. Roberts, A. Bashir, L. X. Gutierrez-Guerrero, and P. C. Tandy · 2010
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An introduction to the confinement problem
Jeff Greensite · 2011
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Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
Markus Leder, Jan M. Pawlowski, Hugo Reinhardt, and Axel Weber · 2011
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The dynamical origin of the refinement of the Gribov-Zwanziger theory
D. Dudal, S.P. Sorella, and N. Vandersickel · 2011
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An Infrared Safe perturbative approach to Yang-Mills correlators
Matthieu Tissier and Nicolas Wschebor · 2011
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Strong Coupling Continuum QCD
M. R. Pennington · 2011
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Running Gluon Mass from Landau Gauge Lattice QCD Propagator
O. Oliveira and P. Bicudo · 2011
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Instantaneous Interquark Potential in Generalized Landau Gauge in SU(3) Lattice QCD: A Linkage between the Landau and the Coulomb Gauges
Takumi Iritani and Hideo Suganuma · 2011
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Yang-Mills Theory in lambda-Gauges
Axel Maas, Tereza Mendes, and Stefan Olejnik · 2011
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Scaling study of the gluon propagator in Coulomb gauge QCD on isotropic and anisotropic lattices
Y. Nakagawa, A. Nakamura, T. Saito, and H. Toki · 2011
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A brief comment on the similarities of the IR solutions for the ghost propagator DSE in Landau and Coulomb gauges
J. Rodriguez-Quintero · 2011
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Vacuum expectation value of ⟨ A 2 ⟩ \langle A^{2}\rangle from LQCD
O. Pène, B. Blossier, Ph. Boucaud, A.Le Yaouanc, J.P. Leroy, et al · 2011
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On the leading OPE corrections to the ghost-gluon vertex and the Taylor theorem
Ph. Boucaud, D. Dudal, J.P. Leroy, O. Pene, and J. Rodriguez-Quintero · 2011
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Chiral symmetry breaking with lattice propagators
A. C. Aguilar and J. Papavassiliou · 2011
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On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions
J. Rodriguez-Quintero · 2011
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π \pi - and ρ \rho -mesons, and their diquark partners, from a contact interaction
H.L.L. Roberts, A. Bashir, L.X. Gutierrez-Guerrero, C.D. Roberts, and D.J. Wilson · 2011
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The hybrid meson: new results from the updated m g m_{g} and α s \alpha_{s} parameters
F. Iddir and L. Semlala · 2011
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Linking Dynamical Gluon Mass to Chiral Symmetry Breaking via a QCD Low Energy Effective Field Theory
O. Oliveira, W. de Paula, and T. Frederico · 2011
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