Weak Universality in Lattice Gauge Theories and Spin Systems

by Dr Debasish Banerjee (Saha Institute of Nuclear Physics)

Monday 22 May 2023, 13:15 → 14:15 Europe/Berlin

1.021 (IRIS)

Universal behaviour associated with critical phenomena is an accepted paradigm for a host of physical systems. Using renormalization group arguments, such a correspondence was established by Svetitsky and Yaffe (1982) for the confinement-deconfinement transition in lattice gauge theories and magnetic transition in spin systems. In the context of spin systems, it is known that marginally relevant operators can introduce a continuous variation of critical exponents as a function of bare couplings, while ratios of certain exponents remain fixed, a phenomenon known as weak universality. We identify such universality in the context of Abelian lattice gauge theories with annealed +/- 2q charges, and thereby extend the Svetitsky-Yaffe conjecture to a hitherto unexplored context.

DESY-HU-Lattice.pdf