PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Continuum limit of two-dimensional multiflavor scalar gauge theories
A. Franchi*, C. Bonati, A. Pelissetto and E. Vicari
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Pre-published on: May 16, 2022
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Abstract
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 $\sigma$-models
associated with symmetric spaces that have the same global symmetry.
DOI: https://doi.org/10.22323/1.396.0093
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