Ordered Exponential and Its Features in Yang-Mills Effective Action

Abstract

In this paper we discuss some non-trivial relations for ordered exponentials on smooth Riemannian manifolds. As an example of application, we study a dependence of the four-dimensional quantum Yang-Mills effective action on the background filed and gauge transformations. Also, we formulate some open questions about a structure of divergences.

arXiv commentLaTeX, 13 pages

References in corpus (9)

• Heat kernel expansion: user's manual
• Three-Loop Yang-Mills beta-Function via the Covariant Background Field Method
• Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action
• Diagram technique for the heat kernel of the covariant Laplace operator
• Heat kernel: proper time method, Fock-Schwinger gauge, path integral representation, and Wilson line
• Formula for two-loop divergent part of 4-D Yang-Mills effective action
• Special Functions for Heat Kernel Expansion
• Explicit Cutoff Regularization in Coordinate Representation
• Scenario for the renormalization in the 4D Yang-Mills theory

Cited by in corpus (2)

• Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization
• On Two-Loop Effective Action of 2D Sigma Model