The light-cone gauge and the principal value prescription?Ward identities in Yang-Mills theories

1985 ◽  
Vol 28 (4) ◽  
pp. 579-586 ◽  
Author(s):  
H. C. Lee ◽  
M. S. Milgram
Keyword(s):  
Light Cone ◽  
Ward Identities ◽  
Light Cone Gauge ◽  
Yang Mills ◽  
Principal Value

scholarly journals Flat self-dual gravity

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Kirill Krasnov ◽  
Evgeny Skvortsov
Keyword(s):  
Light Cone ◽  
Space Time ◽  
Kinetic Term ◽  
Light Cone Gauge ◽  
Yang Mills ◽  
Covariant Action ◽  
Chiral Interaction ◽  
Double Copy

Abstract We construct a new covariant action for “flat” self-dual gravity in four space-time dimensions. The action has just one term, but when expanded around an appropriate background gives rise to a kinetic term and a cubic interaction. Upon imposing the light-cone gauge, the action reproduces the expected chiral interaction of Siegel. The new action is in many ways analogous to the known covariant action for self-dual Yang-Mills theory. There is also a sense in which the new self-dual gravity action exhibits the double copy of self-dual Yang-Mills structure.

scholarly journals EXACT SOLUTIONS TO THE TWO-DIMENSIONAL BF AND YANG–MILLS THEORIES IN THE LIGHT-CONE GAUGE

2002 ◽  
Vol 17 (11) ◽  
pp. 1491-1502 ◽  
Author(s):  
MITSUO ABE ◽  
NOBORU NAKANISHI
Keyword(s):  
Exact Solution ◽  
Quantum Gravity ◽  
Light Cone ◽  
Lagrangian Density ◽  
Critical Dimension ◽  
Two Dimensional ◽  
Light Cone Gauge ◽  
Yang Mills ◽  
Bf Theory ◽  
Conformal Gauge

It is shown that the BRS (= Becchi–Rouet–Stora)-formulated two-dimensional BF theory in the light-cone gauge (coupled with chiral Dirac fields) is solved very easily in the Heisenberg picture. The structure of the exact solution is very similar to that of the BRS-formulated two-dimensional quantum gravity in the conformal gauge. In particular, the BRS Noether charge has anomaly. Based on this fact, a criticism is made on the reasoning of Kato and Ogawa, who derived the critical dimension D=26 of string theory on the basis of the anomaly of the BRS Noether charge. By adding the [Formula: see text] term to the BF-theory Lagrangian density, the exact solution to the two-dimensional Yang–Mills theory is also obtained.

The light-cone gauge

1986 ◽  
Vol 64 (5) ◽  
pp. 624-632 ◽  
Author(s):  
H. C. Lee
Keyword(s):  
Quantum Chromodynamics ◽  
Quantum Electrodynamics ◽  
Light Cone ◽  
Field Theories ◽  
Special Role ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Light Cone Gauge ◽  
Yang Mills ◽  
Kaluza Klein

Some aspects of recent development in the light-cone gauge and its special role in quantum-field theories are reviewed. Topics discussed include the two- and four-component formulations of the light-cone gauge, Slavnov–Taylor and Becchi– Rouet–Stora identities, quantum electrodynamics, quantum chromodynamics, renormalization of Yang–Mills theory and supersymmetric theory, gravity, and the quantum-induced compactification of Kaluza–Klein theories in the light-cone gauge.

One-loop renormalization of the Yang-Mills theory with Dirac fermions in the light-cone gauge

1986 ◽  
Vol 33 (2) ◽  
pp. 617-618 ◽  
Author(s):  
A. Bassetto ◽  
M. Dalbosco ◽  
R. Soldati
Keyword(s):  
Light Cone ◽  
Dirac Fermions ◽  
Light Cone Gauge ◽  
Yang Mills

THE STRUCTURE OF ONE-LOOP COUNTERTERMS OF YANG-MILLS THEORY IN THE LIGHT CONE GAUGE

1989 ◽  
Vol 04 (12) ◽  
pp. 3025-3032 ◽  
Author(s):  
M. SCHWEDA ◽  
H. SKARKE
Keyword(s):  
Light Cone ◽  
Light Cone Gauge ◽  
Yang Mills

We prove a theorem concerning the structure of one-loop integrals in the light cone gauge. With the help of this theorem, we analyze the structure of possible counterterms.

scholarly journals 1+1 Dimensional Yang-Mills Theories in Light-Cone Gauge

1997 ◽  
Vol 12 (06) ◽  
pp. 1075-1090 ◽  
Author(s):  
A. Bassetto ◽  
G. Nardelli
Keyword(s):  
Integral Equation ◽  
Light Cone ◽  
Wilson Loop ◽  
Bound State ◽  
Light Cone Gauge ◽  
Yang Mills ◽  
Feynman Gauge ◽  
Large N

In 1+1 dimensions two different formulations exist of SU(N) Yang Mills theories in light-cone gauge; only one of them gives results which comply with the ones obtained in Feynman gauge. Moreover the theory, when considered 1+(D-1) dimensions, looks discontinuous in the limit D = 2. All those features are proven in Wilson loop calculations as well as in the study of the [Formula: see text] bound state integral equation in the large N limit.

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