# EPS HEP 2015

Jul 22 – 29, 2015
Europe/Vienna timezone

## Volume dependence in SU(N) gauge theories with twisted boundary conditions

Jul 25, 2015, 12:45 PM
15m
HS32

### HS32

talk Non-Perturbative Field Theory and String Theory

### Description

We analyze 2+1 dimensional Yang-Mills theory on a spatial torus with twisted boundary conditions. It is conjectured that the physical quantities in the theory obey the so-called x-scaling, i.e. depend only on the variable x~NL/b and the magnetic flux, given by the parameters of the twist (L being the length of the spatial torus and b the inverse 't Hooft coupling). Using lattice approach and a broad range of values of N, we show numerical evidence supporting the x-scaling conjecture both in the non-zero electric flux sector and in the zero-flux (glueball) sector. Finally, generalization to 3+1 dimensions is discussed.