Continuum reduction in large N gauge theories

Abstract

These are notes associated with three lectures given at the 49th Cracow School of Theoretical physics where a pedagogical explanation of the Gross-Witten transition, Eguchi-Kawai reduction and continuum reduction were given, followed by a description of the numerical computation of fermionic observables in the 't Hooft limit of large N gauge theory.

18 pages, Lectures given at the 49th Cracow School of Theoretical Physics

References in corpus (8)

• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• Non-perturbative volume-reduction of large-N QCD with adjoint fermions
• Can fermions save large N dimensional reduction?
• Computation of the string tension in four-dimensional Yang-Mills theory using large N reduction
• The vector meson mass in the large N limit of QCD
• The deconfining phase transition for SU(N) theories in 2+1 dimensions
• The spatial string tension in the deconfined phase of three dimensional QCD in the large N limit
• Large N phase transitions under scaling and their uses