scholarly journals D = 2 STRING THEORY IN TARGET SPACE/WORLDSHEET LIGHT-CONE GAUGE

1994 ◽  
Vol 09 (33) ◽  
pp. 3041-3051
Author(s):  
A. P. ZUBAREV
Keyword(s):  
String Theory ◽  
Light Cone ◽  
Target Space ◽  
Light Cone Gauge ◽  
Physical Spectrum ◽  
Gauge Fixing ◽  
Linear Dilaton ◽  
Matter Fields

The D = 2 free string in the linear dilaton background is considered in the so-called target space/worldsheet light-cone gauge X+ = 0, g++ = 0, g+− = 1. After gauge-fixing, the theory has the residual Virasoro and U(1) current symmetries. The physical spectrum related to the SL 2-invariant vacuum is found to be trivial. We find that the theory has a non-trivial spectrum if the states in different nonequivalent representations ("pictures") of CFT algebra of matter fields are considered.

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.

scholarly journals QUANTUM DILATON GRAVITY IN THE LIGHT-CONE GAUGE

1993 ◽  
Vol 08 (08) ◽  
pp. 697-710 ◽  
Author(s):  
X. SHEN
Keyword(s):  
Black Hole ◽  
Light Cone ◽  
Black Hole Physics ◽  
Two Dimensional ◽  
Dilaton Gravity ◽  
Light Cone Gauge ◽  
Conformal Gauge ◽  
Matter Fields ◽  
Black Hole Solutions ◽  
New Framework

Recently, models of two-dimensional dilaton gravity have been shown to admit classical black hole solutions that exhibit Hawking radiation at the semiclassical level. These classical and semiclassical analyzes have been performed in conformal gauge. We show in this paper that a similar analysis in the light-cone gauge leads to the same results. Moreover, quantization of matter fields in light-cone gauge can be naturally extended to include quantizing the metric field à la KPZ. We argue that this may provide a new framework to address many issues associated to black hole physics.

PHASE STRUCTURE IN BOSONIC STRING THEORY

1990 ◽  
Vol 05 (20) ◽  
pp. 3929-3941 ◽  
Author(s):  
SIMON DALLEY ◽  
TIM MORRIS
Keyword(s):  
String Theory ◽  
Lattice Model ◽  
Phase Structure ◽  
Light Cone ◽  
Minimum Distance ◽  
Arbitrary Dimension ◽  
Bosonic String ◽  
Light Cone Gauge ◽  
Duality Symmetry ◽  
Bosonic String Theory

We carefully reanalyze a lattice model of oriented closed bosonic strings in light cone gauge due to Klebanov and Susskind, completing the procedure suggested by these authors for solving for the spectrum. Our results enable us to relate the concept of minimum distance in bosonic string theory in uncompactified space to the phase structure of strings on tori, and in particular their duality symmetry. Generalizations to a theory of arbitrary dimension are given.

θ-Expansion and light-cone gauge fixing in curved superspace σ-models

1987 ◽  
Vol 284 ◽  
pp. 131-145 ◽  
Author(s):  
Joseph J. Atick ◽  
Avinash Dhar
Keyword(s):  
Light Cone ◽  
Light Cone Gauge ◽  
Gauge Fixing

scholarly journals REPARAMETRISATION — INVARIANT CLOSED STRING FIELD THEORY: FOLIATION STRUCTURE AND PHYSICAL SPECTRUM

1987 ◽  
Vol 02 (11) ◽  
pp. 887-892 ◽  
Author(s):  
M. NOURI-MOGHADAM ◽  
C. R. R. SMITH ◽  
J. G. TAYLOR
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Light Cone ◽  
Closed String ◽  
Light Cone Gauge ◽  
Physical Spectrum ◽  
Gauge Formulation

The foliation structure and physical spectrum of a reparametrisation-invariant field theory of closed strings are analyzed to show (a) independence of the action of the foliation (b) that the spectrum is that of the usual light cone gauge formulation.

scholarly journals Sigma models with local couplings: a new integrability-RG flow connection

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Ben Hoare ◽  
Nat Levine ◽  
Arkady A. Tseytlin
Keyword(s):  
Sigma Models ◽  
Light Cone ◽  
Symmetric Spaces ◽  
Killing Vector ◽  
Time Dependent ◽  
Target Space ◽  
Light Cone Gauge ◽  
Dependent Model ◽  
Non Local ◽  
Time Dependent Model

Abstract We consider several classes of σ-models (on groups and symmetric spaces, η-models, ⋋-models) with local couplings that may depend on the 2d coordinates, e.g. on time τ . We observe that (i) starting with a classically integrable 2d σ-model, (ii) formally promoting its couplings hα to functions hα(τ ) of 2d time, and (iii) demanding that the resulting time-dependent model also admits a Lax connection implies that hα(τ ) must solve the 1-loop RG equations of the original theory with τ interpreted as RG time. This provides a novel example of an ‘integrability-RG flow’ connection. The existence of a Lax connection suggests that these time-dependent σ-models may themselves be understood as integrable. We investigate this question by studying the possibility of constructing non-local and local conserved charges. Such σ-models with D-dimensional target space and time-dependent couplings subject to the RG flow naturally appear in string theory upon fixing the light-cone gauge in a (D + 2)-dimensional conformal σ-model with a metric admitting a covariantly constant null Killing vector and a dilaton linear in the null coordinate.

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.

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