English

Large-N limit and contact terms in unbroken YM_4

High Energy Physics - Theory 2007-05-23 v1

Abstract

I characterize the structure of the master field for Fzzˉ0F^{0}_{z \bar z} in SU()SU(\infty)-YM4YM_4 on a product of two Riemann surfaces Z×WZ \times W in the gauge Fzzˉch=0F^{ch}_{z \bar z}=0 as the sum of a `bulk' constant term and of delta-like `contact' terms.\\ The contact terms may occur because the localization of the functional integral at N=N=\infty on a master orbit of a constant connection under the action of singular gauge transformations is still compatible with the large-NN factorization and translational invariance.\\ In addition I argue that if the gauge group is unbroken and there is a mass gap, that is if the theory confines, the functional measure at N=N=\infty, in the gauge Fzzˉch=0F^{ch}_{z \bar z}=0, must be localized on the moduli space of flat connections with punctures on Z×WZ \times W.

Keywords

Cite

@article{arxiv.hep-th/9603058,
  title  = {Large-N limit and contact terms in unbroken YM_4},
  author = {Marco Bochicchio},
  journal= {arXiv preprint arXiv:hep-th/9603058},
  year   = {2007}
}

Comments

8 pages, latex, no figures