Anomaly preserving compactifications and semi-classical description of confinement via center-vortices

Mithat Unsal

I describe anomaly-preserving compactifications of four dimensional gauge theories, including Yang-Mills theory, its super symmetric version, and QCD, down to 2d by turning on t Hooft flux through a 2-torus. This provides a new framework to analytically calculate nonperturbative properties such as confinement, chiral sym metry breaking, and multi-branch structure of vacua. I give the semi classical description of these phenomena based on the center vortices and show that it enjoys the same anomaly matching condition with the original 4d gauge theory. For YM, the long-distance theory maps to topological gauge theory (TQFT) deformed by local topological op erators. In QCD, our work provides an analytic derivation of chiral Lagrangian with U(1)B background on small T2xR2 by using non abelian bosonization. We conjecture that the weak-coupling vacuum structure on small T2xR2is adiabatically connected to the strong coupling regime in infinite volume.

http://scgp.stonybrook.edu/video_portal/video.php?id=5113

Simons- Program: Confronting large N, holography, integrability and stringy models with the real world