Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-02-12
Nucl.Phys. B539 (1999) 166-186
Physics
High Energy Physics
High Energy Physics - Theory
Latex 17 pages, no figures. Discussion is extended and new references are added. Final version to appear in Nucl. Phys. B
Scientific paper
10.1016/S0550-3213(98)00706-8
Recently a non-supersymmetric analog of Veneziano-Yankielowicz (VY) effective Lagrangian has been proposed and applied for the analysis of the theta dependence in pure Yang-Mills theory. This effective Lagrangian is similar in many respects to the VY construction and, in particular, exhibits a kind of low energy holomorphy which is absent in the full YM theory. Here we incorporate a heavy fermion into this effective theory by using the "integrating in" technique. We find that, in terms of this extended theory, holomorphy of the effective Lagrangian for pure YM theory naturally implies a holomorphic dependence on the heavy fermion mass. It is shown that this analysis fixes, under certain assumptions, a dimensionless parameter which enters the effective Lagrangian and determines the number of nondegenerate vacuum sectors in pure YM theory. We also compare our results for the vacuum structure and theta dependence to those obtained recently by Witten on the basis of AdS/CFT correspondence.
Halperin Igor
Zhitnitsky Ariel
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