Fetching the paper…

Reading the bibliography…

Note on off-shell relations in nonlinear sigma model · Around

2014

Note on off-shell relations in nonlinear sigma model

Chen, Gang, Du, Yi-Jian, Li, Shuyi et al.

Original
PDF
Post on X

Understand

In this note, we investigate relations between tree-level off-shell currents in nonlinear sigma model.

Under Cayley parametrization, all odd-point currents vanish.
We propose and prove a generalized $U(1)$ identity for even-point currents.
The off-shell $U(1)$ identity given in [1] is a special case of the generalized identity studied in this note.

Built on

R. Kleiss and H. Kuijf, Multi - gluon cross-sections and five jet production at hadron colliders
1989
Earlier work this paper cites.
F. A. Berends and W. Giele, Multiple Soft Gluon Radiation in Parton Processes
Original
1989
Earlier work this paper cites.
V. Del Duca, L. J. Dixon, and F. Maltoni, New color decompositions for gauge amplitudes at tree and loop level
2000
Earlier work this paper cites.
Z. Bern, J. Carrasco, and H. Johansson, New relations for gauge-theory amplitudes
Original
2008
Earlier work this paper cites.
N. Bjerrum-Bohr, P. H. Damgaard, and P. Vanhove, Minimal Basis for Gauge Theory Amplitudes
Original
2009
Earlier work this paper cites.
H. Tye and Y. Zhang, Remarks on the identities of gluon tree amplitudes
Original
2010
Earlier work this paper cites.
Z. Bern, T. Dennen, Y.-t. Huang, and M. Kiermaier, Gravity as the Square of Gauge Theory
Original
2010
Earlier work this paper cites.
B. Feng, R. Huang, and Y. Jia, Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program
Original
2011
Earlier work this paper cites.
Y.-X. Chen, Y.-J. Du, and B. Feng, A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory
Original
2011
Earlier work this paper cites.
N. Bjerrum-Bohr, P. Damgaard, H. Johansson, and T. Sondergaard, Monodromy–like Relations for Finite Loop Amplitudes
Original
2011
Earlier work this paper cites.
C. R. Mafra, O. Schlotterer, and S. Stieberger, Explicit BCJ Numerators from Pure Spinors
Original
2011
Earlier work this paper cites.
R. Monteiro and D. O’Connell, The Kinematic Algebra From the Self-Dual Sector
Original
2011
Earlier work this paper cites.
J. Broedel and J. J. M. Carrasco, Virtuous Trees at Five and Six Points for Yang-Mills and Gravity
Original
2011
Earlier work this paper cites.
Z. Bern and T. Dennen, A Color Dual Form for Gauge-Theory Amplitudes
Original
2011
Earlier work this paper cites.
Y.-J. Du, B. Feng, and C.-H. Fu, BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory
Original
2011
Earlier work this paper cites.

Similar

J. J. Carrasco and H. Johansson, Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity
Original
2012
Cited alongside, same era.
R. H. Boels and R. S. Isermann, New relations for scattering amplitudes in Yang-Mills theory at loop level
Original
2012
Cited alongside, same era.
R. H. Boels and R. S. Isermann, Yang-Mills amplitude relations at loop level from non-adjacent BCFW shifts
Original
2012
Cited alongside, same era.
Z. Bern, J. Carrasco, L. Dixon, H. Johansson, and R. Roiban, Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
Original
2012
Cited alongside, same era.
N. Bjerrum-Bohr, P. H. Damgaard, R. Monteiro, and D. O’Connell, Algebras for Amplitudes

Then

Y.-J. Du, B. Feng, and C.-H. Fu, The Construction of Dual-trace Factor in Yang-Mills Theory
Original
2013
Later among the works it cites.
C.-H. Fu, Y.-J. Du, and B. Feng, Note on Construction of Dual-trace Factor in Yang-Mills Theory
Original
2013
Later among the works it cites.
K. Kampf, J. Novotny, and J. Trnka, Recursion Relations for Tree-level Amplitudes in the SU(N) Non-linear Sigma Model
Original
2013
Later among the works it cites.
K. Kampf, J. Novotny, and J. Trnka, Tree-level Amplitudes in the Nonlinear Sigma Model
Original
2013
Later among the works it cites.
G. Chen and Y.-J. Du, Amplitude Relations in Non-linear Sigma Model
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2012

Cited alongside, same era.

T. Bargheer, S. He, and T. McLoughlin, New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes

2012

Cited alongside, same era.

Q. Ma, Y.-J. Du, and Y.-X. Chen, On Primary Relations at Tree-level in String Theory and Field Theory

2012

Cited alongside, same era.

J. J. M. Carrasco, M. Chiodaroli, M. G¨¹naydin, and R. Roiban, One-loop four-point amplitudes in pure and matter-coupled N ≤ \leq 4 supergravity

2013

Cited alongside, same era.

Y.-J. Du and H. Luo, On General BCJ Relation at One-loop Level in Yang-Mills Theory

2013

Cited alongside, same era.

S. Oxburgh and C. White, BCJ duality and the double copy in the soft limit

2013

Cited alongside, same era.

R. Saotome and R. Akhoury, Relationship Between Gravity and Gauge Scattering in the High Energy Limit

2013

Cited alongside, same era.

R. H. Boels, B. A. Kniehl, O. V. Tarasov, and G. Yang, Color-kinematic Duality for Form Factors

2013

Cited alongside, same era.

2014

Closest in time.

J. Nohle, Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter

2014

Closest in time.

R. Monteiro and D. O’Connell, The Kinematic Algebras from the Scattering Equations

2014

Closest in time.

C.-H. Fu, Y.-J. Du, and B. Feng, Note on symmetric BCJ numerator

2014

Closest in time.

S. G. Naculich, Scattering equations and virtuous kinematic numerators and dual-trace functions

2014

Closest in time.

F. Cachazo, S. He, and E. Y. Yuan, Scattering Equations and KLT Orthogonality

2014

Closest in time.

F. Cachazo, S. He, and E. Y. Yuan, Scattering of Massless Particles in Arbitrary Dimensions

2014

Closest in time.

F. Cachazo, S. He, and E. Y. Yuan, Scattering of Massless Particles: Scalars, Gluons and Gravitons

2014

Closest in time.

S. G. Naculich, Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles

2014

Closest in time.

Y.-J. Du, B. Feng, and C.-H. Fu, Dual-color decompositions at one-loop level in Yang-Mills theory

2014

Closest in time.