2021/10/26 by Claudio Bonati, Bonati, Claudio, Alessio Franchi +5
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-lat
paper · pdf · doi:10.48550/arxiv.2110.13490
7 pages, 4 figures, proceeding for The 38th International Symposium on Lattice Field Theory, LATTICE2021, 26th-30th July, 2021, Zoom/Gather@Massachusetts Institute of Technology
arxiv created 2021/10/26 · arxiv updated 2021/10/27
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 provide numerical results concerning the universal behavior of such models in the critical regime. Our results support the conjecture that two-dimensional multiflavor scalar models have the same continuum limit as the σ-models associated with symmetric spaces that have the same global symmetry.