Topological Yang-Mills cohomology in pure Yang-Mills Theory

Abstract

Using the first order formalism (BFYM) of the Yang-Mills theory we show that it displays an embedded topological sector corresponding to the field content of the Topological Yang-Mills theory (TYM). This picture arises after a proper redefinition of the fields of BFYM and gives a clear representation of the non perturbative part of the theory in terms of the topological sector. In this setting the calculation of the $vev$ of a YM observable is translated into the calculation of a corresponding (non topological) quantity in TYM. We then compare the topological observables of TYM with a similar set of observables for BFYM and discuss the possibility of describing topological observables in YM theory.

12 pages, Latex, one reference added, to appear in Phys. Lett. B

References in corpus (3)

• Yang-Mills Theory as a Deformation of Topological Field Theory, Dimensional Reduction and Quark Confinement
• Feynman rules and beta-function for the BF Yang-Mills Theory
• Algebraic renormalization of the BF Yang-Mills Theory

Cited by in corpus (4)

• Analytic derivation of dual gluons and monopoles from SU(2) lattice Yang-Mills theory. II. Spin foam representation
• Symmetries of topological field theories in the BV-framework
• Large-mass behaviour of loop variables in abelian Maxwell-Chern-Simons theory
• Analytic derivation of dual gluons and monopoles from SU(2) lattice Yang-Mills theory. I. BF Yang-Mills representation