On the action principle in quantum field theory
Abstract
Description
An analysis of the Schwinger's action principle in Lagrangian quantum field theory is presented. A solution of a problem contained in it is proposed via a suitable definition of a derivative with respect to operator variables. This results in a preservation of Euler-Lagrange equations and a change in the operator structure of conserved quantities. Besides, it entails certain relation between the field operators and their variations (which is identically valid for some fields, e.g. for the free ones). The general theory is illustrated on a number of particular examples
26 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/
26 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/
Citation
Consulte el texto completo en el siguiente enlace:
https://arxiv.org/abs/hep-th/0204003
http://arxiv.org/abs/hep-th/0204003
In "Trends in Complex Analysis, Diff. Geom. & Math. Phys.", Proc. 6th Int. Workshop on Complex Structures and Vector Fields, 3-6 Sep. 2002, St. Knstantin, Bulgaria, Eds S. Dimiev and K. Sekigava, World Scientific, 2003. pp.76-107
http://arxiv.org/abs/hep-th/0204003
In "Trends in Complex Analysis, Diff. Geom. & Math. Phys.", Proc. 6th Int. Workshop on Complex Structures and Vector Fields, 3-6 Sep. 2002, St. Knstantin, Bulgaria, Eds S. Dimiev and K. Sekigava, World Scientific, 2003. pp.76-107