Exact beta function and glueball spectrum in large-N Yang Mills theory
Abstract
In the pure large-N Yang-Mills theory there is a quasi-BPS sector that is exactly solvable at large N. It follows an exact beta function and the glueball spectrum in this sector. The main technical tool is a new holomorphic loop equation for quasi-BPS Wilson loops, that occurs as a non-supersymmetric analogue of Dijkgraaf-Vafa holomorphic loop equation for the glueball superpotential of n=1 SUSY gauge theories. The new holomorphic loop equation is localized, i.e. reduced to a critical equation, by a deformation of the loop that is a vanishing boundary in homology, somehow in analogy with Witten's cohomological localization by a coboundary deformation in SUSY gauge theories.
Cite
@article{arxiv.0910.0776,
title = {Exact beta function and glueball spectrum in large-N Yang Mills theory},
author = {Marco Bochicchio},
journal= {arXiv preprint arXiv:0910.0776},
year = {2015}
}
Comments
PDF, 11 pages, talk at EPS-HEP 2009; added a footnote on the fluctuations of surface operators as published in PoS