scholarly journals Transitioning from equal-time to light-front quantization in ϕ24 theory

2020 ◽  
Vol 102 (11) ◽  
Author(s):  
Sophia S. Chabysheva ◽  
John R. Hiller
Keyword(s):  
Light Front ◽  
Equal Time ◽  
Light Front Quantization

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.

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

scholarly journals Light-Front Quantization and AdS/QCD: An overview

2011 ◽  
Vol 287 ◽  
pp. 012007 ◽  
Author(s):  
Guy F de Téramond ◽  
Stanley J Brodsky
Keyword(s):  
Light Front ◽  
Light Front Quantization

scholarly journals Light mesons within the basis light-front quantization framework

2020 ◽  
Vol 102 (5) ◽  
Author(s):  
Wenyang Qian ◽  
Shaoyang Jia ◽  
Yang Li ◽  
James P. Vary
Keyword(s):  
Light Front ◽  
Light Mesons ◽  
Light Front Quantization

scholarly journals Non-perturbative Calculation of the Positronium Mass Spectrum in Basis Light-Front Quantization

2015 ◽  
Vol 56 (6-9) ◽  
pp. 489-494 ◽  
Author(s):  
Paul Wiecki ◽  
Yang Li ◽  
Xingbo Zhao ◽  
Pieter Maris ◽  
James P. Vary
Keyword(s):  
Mass Spectrum ◽  
Light Front ◽  
Perturbative Calculation ◽  
Light Front Quantization

scholarly journals Equivalence of pion loops in equal-time and light-front dynamics

2009 ◽  
Vol 80 (5) ◽  
Author(s):  
Chueng-Ryong Ji ◽  
W. Melnitchouk ◽  
A. W. Thomas
Keyword(s):  
Light Front ◽  
Equal Time ◽  
Front Dynamics

scholarly journals Light-Front Quantization Approach to the Gauge-Gravity Correspondence and Hadron Spectroscopy

2010 ◽  
Author(s):  
Guy F. de Téramond ◽  
Stanley J. Brodsky ◽  
Volker Crede ◽  
Paul Eugenio ◽  
A. Ostrovidov
Keyword(s):  
Light Front ◽  
Hadron Spectroscopy ◽  
Light Front Quantization ◽  
Gauge Gravity
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