Large N lattice gauge theory

Abstract

Wilson loops in large N gauge theory exhibit a weak to strong coupling transition as the loop is dilated. A multiplicative matrix model captures the universal behavior associated with this transition. A universal scaling function is obtained in a double scaling limit. Numerical studies show that both large N QCD in three dimensions and the SU(N) principal chiral model in two dimensions are in the same universality class.

3 pages, contribution to ICHEP08

References in corpus (5)

• Infinite N phase transitions in continuum Wilson loop operators
• Large $N$ Phase Transition in Continuum QCD${}_2$
• Large N reduction in the continuum three dimensional Yang-Mills theory
• Proposal for the numerical solution of planar QCD
• Instanton contributions to Wilson loops with general winding number in two dimensions and the spectral density