scholarly journals Reply to “Comment on ‘Light-front Schwinger model at finite temperature’ ”

2004 ◽  
Vol 69 (12) ◽  
Author(s):  
Ashok Dos ◽  
Xingxiang Zhou
Keyword(s):  
Finite Temperature ◽  
Light Front ◽  
Schwinger Model

Light front field theory: An advanced Primer

2007 ◽  
Vol 57 (3) ◽  
Author(s):  
L'ubomír Martinovič
Keyword(s):  
Field Theory ◽  
Detailed Comparison ◽  
Light Front ◽  
Two Dimensional ◽  
Schwinger Model ◽  
Initial Space ◽  
Model Hamiltonian ◽  
Spatial Volume ◽  
Hamiltonian Perturbation Theory ◽  
Light Front Quantization

Light front field theory: An advanced PrimerWe present an elementary introduction to quantum field theory formulated in terms of Dirac's light front variables. In addition to general principles and methods, a few more specific topics and approaches based on the author's work will be discussed. Most of the discussion deals with massive two-dimensional models formulated in a finite spatial volume starting with a detailed comparison between quantization of massive free fields in the usual field theory and the light front (LF) quantization. We discuss basic properties such as relativistic invariance and causality. After the LF treatment of the soluble Federbush model, a LF approach to spontaneous symmetry breaking is explained and a simple gauge theory - the massive Schwinger model in various gauges is studied. A LF version of bosonization and the massive Thirring model are also discussed. A special chapter is devoted to the method of discretized light cone quantization and its application to calculations of the properties of quantum solitons. The problem of LF zero modes is illustrated with the example of the two-dimensional Yukawa model. Hamiltonian perturbation theory in the LF formulation is derived and applied to a few simple processes to demonstrate its advantages. As a byproduct, it is shown that the LF theory cannot be obtained as a "light-like" limit of the usual field theory quantized on an initial space-like surface. A simple LF formulation of the Higgs mechanism is then given. Since our intention was to provide a treatment of the light front quantization accessible to postgradual students, an effort was made to discuss most of the topics pedagogically and a number of technical details and derivations are contained in the appendices.

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 Causal amplitudes in the Schwinger model at finite temperature

2012 ◽  
Vol 86 (4) ◽  
Author(s):  
Ashok Das ◽  
R. R. Francisco ◽  
J. Frenkel
Keyword(s):  
Finite Temperature ◽  
Schwinger Model

scholarly journals Finite-Temperature Field Theory on the Light Front

2005 ◽  
Vol 36 (1-4) ◽  
pp. 225-230
Author(s):  
J. Raufeisen ◽  
S. J. Brodsky
Keyword(s):  
Field Theory ◽  
Temperature Field ◽  
Finite Temperature ◽  
Light Front ◽  
Finite Temperature Field Theory

scholarly journals Light-front field theories at finite temperature

2002 ◽  
Vol 66 (12) ◽  
Author(s):  
V. S. Alves ◽  
Ashok Das ◽  
Silvana Perez
Keyword(s):  
Finite Temperature ◽  
Light Front ◽  
Field Theories

LIGHT-FRONT QUANTIZED SCHWINGER MODEL AND θ-VACUA

1998 ◽  
Vol 13 (15) ◽  
pp. 1223-1233 ◽  
Author(s):  
PREM P. SRIVASTAVA
Keyword(s):  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Light Front ◽  
Number Operator ◽  
Decomposition Property ◽  
Schwinger Model ◽  
Fluctuation Fields ◽  
Time Information

The light-front (LF) quantization of the bosonized Schwinger model is discussed. The proposal, successfully used earlier for describing the spontaneous symmetry breaking (SSB) on the LF, of separating first the scalar field into the dynamical condensate and the fluctuation fields before employing the standard Dirac method works here as well. The condensate variable is now shown to be a q-number operator in contrast to the case of SSB where it was shown to be a c-number. The condensate or θ-vacua emerge straightforwardly along with their continuum normalization which avoids the violation of the cluster decomposition property. Attention is drawn to the fact that the theory quantized, say, at equal x+, carries in it at the same time information on equal x- commutators as well.

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