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Spectral sums of the Dirac-Wilson operator and their relation to the Polyakov loop are thoroughly investigated.
Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung)
H. Weyl · 1912
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Some properties of the eigenfunctions of the Laplace-operator on Riemannian manifolds
S. Minakshisundaram and A. Pleijel · 1949
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Higher Transcendental Functions, Volume II
Arthur Erdélyi, Wilhelm Magnus, Fritz Oberhettinger, and Francesco Tricomi · 1953
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Instantons and fermions in the field of instanton
Albert S. Schwarz · 1979
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A Simple Formalism for the BPS Monopole
W. Nahm · 1980
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Table of Integrals, Series, and Products
I. S. Gradshteyn and I. M. Ryzhik · 1980
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Topology of the Gauge Condition and New Confinement Phases in Nonabelian Gauge Theories
Gerard ’t Hooft · 1981
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Some Results for SU(N) Gauge Fields on the Hypertorus
Pierre van Baal · 1982
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Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem
Peter B. Gilkey · 1984
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Determinants, Dirac operators, and one loop physics
Steve Blau, Matt Visser, and Andreas Wipf · 1989
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Finite temperature Schwinger model
I. Sachs and A. Wipf · 1992
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Scaling and asymptotic scaling in the SU(2) gauge theory
J. Fingberg, Urs M. Heller, and F. Karsch · 1993
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Center dominance and Z(2) vortices in SU(2) lattice gauge theory
L. Del Debbio, M. Faber, J. Greensite, and S. Olejnik · 1997
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Confinement and scaling of the vortex vacuum of SU(2) lattice gauge theory
Kurt Langfeld, Hugo Reinhardt, and Oliver Tennert · 1998
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Monopoles, Polyakov loops, and gauge fixing on the torus
C. Ford, U. G. Mitreuter, T. Tok, A. Wipf, and J. M. Pawlowski · 1998
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The confinement problem in lattice gauge theory
J. Greensite · 2003
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Center vortices and Dirac eigenmodes in SU(2) lattice gauge theory
Jochen Gattnar et al · 2005
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Laplacian modes probing gauge fields
F. Bruckmann and E. M. Ilgenfritz · 2005
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Linking confinement to spectral properties of the Dirac operator
Christof Gattringer · 2006
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Complete spectra of the Dirac operator and their relation to confinement
Falk Bruckmann, Christof Gattringer, and Christian Hagen · 2007
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Spectral sums of the Dirac-Wilson operator and their relation to the Polyakov loop
Franziska Synatschke, Andreas Wipf, and Christian Wozar · 2007
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Deconfinement and chiral symmetry restoration in an SU(3) gauge theory with adjoint fermions
Frithjof Karsch and Martin Lutgemeier · 1999
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Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition
M. Engelhardt, K. Langfeld, H. Reinhardt, and O. Tennert · 2000
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Closed-form sums for some perturbation series involving associated Laguerre polynomials
R. L. Hall, N. Saad, and A. B. von Keviczky · 2001
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Deconfinement and chiral symmetry restoration
Frithjof Karsch
Cited in the paper.
Thin and dressed Polyakov loops from spectral sums of lattice differential operators
Christian Hagen, Falk Bruckmann, Erek Bilgici, and Christof Gattringer
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Dual quark condensate and dressed Polyakov loops
Erek Bilgici, Falk Bruckmann, Christof Gattringer, and Christian Hagen
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The Polyakov Loop and the Eigenvalues of the Dirac Operator
Wolfgang Soldner · 2007
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Improved actions and asymptotic scaling in lattice Yang- Mills theory
Kurt Langfeld · 2007
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