Speaker
Alessio Franchi
(University of Pisa and INFN)
Description
We address the interplay between local and global symmetries by analyzing the continuum limit of two-dimensional multicomponent scalar lattice gauge theories, endowed by non-abelian local and global invariance. These theories are asymptotically free. By exploiting Monte Carlo simulations and Finite-Size Scaling techniques, we thus provide numerical results concerning the universal behavior of such models in this critical regime. Our results support the conjecture that two-dimensional multiflavor scalar fields have the same continuum limit as the sigma models associated with symmetric spaces that have the same global symmetry as the lattice model.
Primary authors
Alessio Franchi
(University of Pisa and INFN)
Claudio Bonati
(University of Pisa and INFN)
Andrea Pelissetto
(University of Rome "La Sapienza" and INFN)
Ettore Vicari
(University of Pisa and INFN)