Topological Yang-Mills cohomology in pure Yang-Mills Theory

Details Topological Yang-Mills cohomology in pure Yang-Mills Theory Topological Yang-Mills cohomology in pure Yang-Mills Theory

1998-03-04

arxiv.org/abs/hep-th/9803029v2

Phys.Lett. B431 (1998) 127-134

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(98)00561-9

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.

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