scholarly journals Light-cone quantization of two dimensional field theory in the path integral approach

1999 ◽  
Vol 59 (10) ◽  
Author(s):  
J. L. Cortés ◽  
J. Gamboa
Keyword(s):  
Field Theory ◽  
Path Integral ◽  
Light Cone ◽  
Integral Approach ◽  
Two Dimensional ◽  
Path Integral Approach ◽  
Light Cone Quantization

scholarly journals Peierls brackets in non-Lagrangian field theory

2014 ◽  
Vol 29 (27) ◽  
pp. 1450157 ◽  
Author(s):  
A. A. Sharapov
Keyword(s):  
Field Theory ◽  
Poisson Bracket ◽  
Path Integral ◽  
Deformation Quantization ◽  
Equations Of Motion ◽  
Integral Approach ◽  
Lagrangian Dynamics ◽  
Path Integral Approach ◽  
Lagrangian Field Theory

The concept of Lagrange structure allows one to systematically quantize the Lagrangian and non-Lagrangian dynamics within the path-integral approach. In this paper, I show that any Lagrange structure gives rise to a covariant Poisson bracket on the space of solutions to the classical equations of motion, be they Lagrangian or not. The bracket generalize the well-known Peierls' bracket construction and make a bridge between the path-integral and the deformation quantization of non-Lagrangian dynamics.

scholarly journals Path integral approach to two-dimensional QCD in the light-front frame

1994 ◽  
Vol 49 (10) ◽  
pp. 5621-5624 ◽  
Author(s):  
P. Gaete ◽  
J. Gamboa ◽  
I. Schmidt
Keyword(s):  
Path Integral ◽  
Light Front ◽  
Integral Approach ◽  
Two Dimensional ◽  
Path Integral Approach
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