scholarly journals Influence of higher Fock states in light-cone gauge theories

1998 ◽  
Vol 58 (8) ◽  
Author(s):  
S. Dalley
Keyword(s):  
Light Cone ◽  
Gauge Theories ◽  
Light Cone Gauge ◽  
Fock States

scholarly journals EXACT RENORMALIZATION GROUP IN ALGEBRAIC NONCOVARIANT GAUGES

2001 ◽  
Vol 16 (11) ◽  
pp. 2125-2130
Author(s):  
M. SIMIONATO
Keyword(s):  
Perturbation Theory ◽  
Renormalization Group ◽  
Light Cone ◽  
Wilson Loop ◽  
Gauge Theories ◽  
Mass Term ◽  
Abelian Gauge ◽  
Light Cone Gauge ◽  
Infrared Limit ◽  
Exact Renormalization Group

I study a class of Wilsonian formulations of non-Abelian gauge theories in algebraic noncovariant gauges where the Wilsonian infrared cutoff Λ is inserted as a mass term for the propagating fields. In this way the Ward-Takahashi identities are preserved to all scales. Nevertheless the BRS-invariance in broken and the theory is gauge-dependent and unphysical at Λ≠ 0. Then I discuss the infrared limit Λ→0. I show that the singularities of the axial gauge choice are avoided in planar gauge and in light-cone gauge. Finally the rectangular Wilson loop of size 2L×2T is evaluated at lowest order in perturbation theory and a noncommutativity between the limits Λ→0 and T→∞ is pointed out.

Gauge theories in the light-cone gauge

1990 ◽  
Vol 42 (6) ◽  
pp. 2095-2102 ◽  
Author(s):  
Kurt Haller
Keyword(s):  
Light Cone ◽  
Gauge Theories ◽  
Light Cone Gauge

scholarly journals PHYSICAL STATES IN TWO-DIMENSIONAL TOPOLOGICAL GAUGE THEORIES

1993 ◽  
Vol 08 (17) ◽  
pp. 1603-1609
Author(s):  
YOSHIAKI TANII ◽  
MASAKAZU YAMASHITA
Keyword(s):  
Infinite Number ◽  
Light Cone ◽  
Gauge Theories ◽  
Two Dimensional ◽  
Light Cone Gauge ◽  
Abelian Theory

Physical states of two-dimensional topological gauge theories are studied using the BRST formalism in the light-cone gauge. All physical states are obtained for the Abelian theory. An infinite number of physical states with different ghost numbers exist. Simple examples of physical states in a non-Abelian theory are also given.

ON THE BRST APPROACH TO TWO-DIMENSIONAL GAUGE THEORIES IN THE LIGHT-CONE GAUGE

1990 ◽  
Vol 05 (12) ◽  
pp. 927-933 ◽  
Author(s):  
YOSHIAKI TANII
Keyword(s):  
Scalar Field ◽  
Gauge Field ◽  
Physical Meaning ◽  
Light Cone ◽  
Gauge Theories ◽  
Two Dimensional ◽  
Light Cone Gauge ◽  
Brst Charge

The physical meaning of the second BRST-like charge, which exists in addition to the ordinary BRST charge in two-dimensional gauge theories in the light-cone gauge, is clarified. It results from the redundancy of the parametrization of the gauge field in terms of a group-valued scalar field and has a similar structure to the ordinary one.

scholarly journals Light-front quantization with the light cone gauge

2016 ◽  
Vol 94 (5) ◽  
pp. 511-516
Author(s):  
D.G.C. McKeon ◽  
Chenguang Zhao
Keyword(s):  
Light Cone ◽  
Degrees Of Freedom ◽  
Gauge Theories ◽  
Light Front ◽  
Target Space ◽  
Light Cone Gauge ◽  
Yang Mills ◽  
Dirac Brackets ◽  
Light Front Quantization ◽  
Gauge Conditions

The Dirac procedure for dealing with constraints is applied to the quantization of gauge theories on the light front. The light cone gauge is used in conjunction with the first-class constraints that arise and the resulting Dirac brackets are found. These gauge conditions are not used to eliminate degrees of freedom from the action prior to applying the Dirac constraint procedure. This approach is illustrated by considering Yang–Mills theory and the superparticle in a 2+1-dimensional target space.

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.

TOPOLOGICAL CONFORMAL ALGEBRA IN POLYAKOV’S LIGHT-CONE GAUGE GRAVITY

1992 ◽  
Vol 07 (35) ◽  
pp. 3291-3302 ◽  
Author(s):  
KIYONORI YAMADA
Keyword(s):  
Light Cone ◽  
Matter Field ◽  
Conformal Algebra ◽  
Two Dimensional ◽  
Topological Algebras ◽  
Light Cone Gauge ◽  
Brst Cohomology ◽  
Dimensional Gravity ◽  
Conformal Gauge ◽  
Gauge Gravity

We show that the two-dimensional gravity coupled to c=−2 matter field in Polyakov’s light-cone gauge has a twisted N=2 superconformal algebra. We also show that the BRST cohomology in the light-cone gauge actually coincides with that in the conformal gauge. Based on this observation the relations between the topological algebras are discussed.

EQUIVALENCE OF TWO-DIMENSIONAL GRAVITIES

1990 ◽  
Vol 05 (16) ◽  
pp. 1251-1258 ◽  
Author(s):  
NOUREDDINE MOHAMMEDI
Keyword(s):  
Gauge Theory ◽  
Explicit Solution ◽  
Light Cone ◽  
Equations Of Motion ◽  
Two Dimensional ◽  
Induced Gravity ◽  
Light Cone Gauge ◽  
Dimensional Gravity ◽  
The Relationship ◽  
Chern Simons

We find the relationship between the Jackiw-Teitelboim model of two-dimensional gravity and the SL (2, R) induced gravity. These are shown to be related to a two-dimensional gauge theory obtained by dimensionally reducing the Chern-Simons action of the 2+1 dimensional gravity. We present an explicit solution to the equations of motion of the auxiliary field of the Jackiw-Teitelboim model in the light-cone gauge. A renormalization of the cosmological constant is also given.

LIGHT-FRONT HAMILTONIAN AND PATH INTEGRAL QUANTIZATION OF VECTOR SCHWINGER MODEL WITH A PHOTON MASS TERM

2012 ◽  
Vol 27 (27) ◽  
pp. 1250157 ◽  
Author(s):  
USHA KULSHRESHTHA
Keyword(s):  
Path Integral ◽  
Light Cone ◽  
Mass Term ◽  
Light Front ◽  
Light Cone Gauge ◽  
Schwinger Model ◽  
Path Integral Quantization ◽  
New Class ◽  
Gauge Fixing ◽  
Form Theory

Vector Schwinger model with a mass term for the photon, describing 2D electrodynamics with massless fermions, studied by us recently [U. Kulshreshtha, Mod. Phys. Lett. A22, 2993 (2007); U. Kulshreshtha and D. S. Kulshreshtha, Int. J. Mod. Phys. A22, 6183 (2007); U. Kulshreshtha, PoS LC2008, 008 (2008)], represents a new class of models. This theory becomes gauge-invariant when studied on the light-front. This is in contrast to the instant-form theory which is gauge-non-invariant. In this work, we study the light-front Hamiltonian and path integral quantization of this theory under appropriate light-cone gauge-fixing. The discretized light-cone quantization of the theory where we wish to make contact with the experimentally observational aspects of the theory would be presented in a separate paper.

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