scholarly journals First nonperturbative calculation in light-front QED for an arbitrary covariant gauge

2011 ◽  
Vol 84 (3) ◽  
Author(s):  
Sophia S. Chabysheva ◽  
John R. Hiller
Keyword(s):  
Light Front ◽  
Covariant Gauge ◽  
Nonperturbative Calculation

scholarly journals Light-front-quantized QCD in a covariant gauge

1999 ◽  
Vol 61 (2) ◽  
Author(s):  
Prem P. Srivastava ◽  
Stanley J. Brodsky
Keyword(s):  
Light Front ◽  
Covariant Gauge

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.

QCD near the light front

1996 ◽  
Author(s):  
Thomas John Fields
Keyword(s):  
Light Front

Basis Light-Front Quantization: Recent Progress and Future Prospects

2016 ◽  
Vol 57 (8) ◽  
pp. 695-702 ◽  
Author(s):  
James P. Vary ◽  
Lekha Adhikari ◽  
Guangyao Chen ◽  
Yang Li ◽  
Pieter Maris ◽  
...  
Keyword(s):  
Recent Progress ◽  
Light Front ◽  
Future Prospects ◽  
Light Front Quantization

Light front Hamiltonian for boson form of QED (1 + 1) in Pauli–Villars regularization

2019 ◽  
Vol 34 (21) ◽  
pp. 1950113
Author(s):  
V. A. Franke ◽  
M. Yu. Malyshev ◽  
S. A. Paston ◽  
E. V. Prokhvatilov ◽  
M. I. Vyazovsky
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Chiral Condensate ◽  
Light Front ◽  
Coupling Constants ◽  
Hamiltonian Approach ◽  
Chiral Perturbation ◽  
Dimensional Models ◽  
Villars Regularization ◽  
Ultraviolet Regularization

Light front (LF) Hamiltonian for QED in [Formula: see text] dimensions is constructed using the boson form of this model with additional Pauli–Villars-type ultraviolet regularization. Perturbation theory, generated by this LF Hamiltonian, is proved to be equivalent to usual covariant chiral perturbation theory. The obtained LF Hamiltonian depends explicitly on chiral condensate parameters which enter in a form of some renormalization of coupling constants. The obtained results can be useful when one attempts to apply LF Hamiltonian approach for [Formula: see text]-dimensional models like QCD.

scholarly journals Casimir force on a light front

2020 ◽  
pp. 103836
Author(s):  
S.S. Chabysheva ◽  
J.R. Hiller
Keyword(s):  
Casimir Force ◽  
Light Front
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