scholarly journals Barton expansion and the path integral approach in thermal field theory

1996 ◽  
Vol 54 (10) ◽  
pp. 6435-6443 ◽  
Author(s):  
F. T. Brandt ◽  
D. G. C. McKeon
Keyword(s):  
Field Theory ◽  
Thermal Field Theory ◽  
Path Integral ◽  
Thermal Field ◽  
Integral Approach ◽  
Path Integral Approach

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.

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