Jul 22 – 29, 2015
Europe/Vienna timezone

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

Jul 25, 2015, 12:45 PM


talk Non-Perturbative Field Theory and String Theory Non-Perturbative Field Theory and String Theory


Mateusz Koren (IFT UAM-CSIC Madrid)


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.

Primary author

Mateusz Koren (IFT UAM-CSIC Madrid)


Prof. Antonio Gonzalez-Arroyo (IFT UAM-CSIC & UAM) Prof. Margarita Garcia Perez (IFT UAM-CSIC) Prof. Masanori Okawa (Hiroshima University)

Presentation materials