Two dimensional fermions in three dimensional YM

Abstract

Dirac fermions in the fundamental representation of SU(N) live on the surface of a cylinder embedded in $R^3$ and interact with a three dimensional SU(N) Yang Mills vector potential preserving a global chiral symmetry at finite $N$. As the circumference of the cylinder is varied from small to large, the chiral symmetry gets spontaneously broken in the infinite $N$ limit at a typical bulk scale. Replacing three dimensional YM by four dimensional YM introduces non-trivial renormalization effects.

21 pages, 7 figures, 5 tables

References in corpus (5)

• Infinite N phase transitions in continuum Wilson loop operators
• String Theory on Thin Semiconductors: Holographic Realization of Fermi Points and Surfaces
• Computation of the string tension in four-dimensional Yang-Mills theory using large N reduction
• Computation of the string tension in three dimensional Yang-Mills theory using large N reduction
• Two dimensional fermions in four dimensional YM

Cited by in corpus (2)

• Burgers-like equation for spontaneous breakdown of the chiral symmetry in QCD
• Four-dimensional Yang-Mills theory with a three-dimensional fermion membrane