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We address the interplay between global and local gauge nonabelian symmetries in lattice gauge theories with multicomponent scalar fields. We consider two-dimensional lattice scalar nonabelian gauge theories with a local SO(Nc) (Nc >= 3)…

High Energy Physics - Lattice · Physics 2020-09-02 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

We study the nature of the finite-temperature transition of the three-dimensional scalar chromodynamics with N_f flavors. These models are constructed by considering maximally O(M)-symmetric multicomponent scalar models, whose symmetry is…

Statistical Mechanics · Physics 2020-02-19 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We consider two-dimensional lattice SU($N_c$) gauge theories with $N_f$ real scalar fields transforming in the adjoint representation of the gauge group and with a global O($N_f$) invariance. Focusing on systems with $N_f\ge 3$, we study…

High Energy Physics - Lattice · Physics 2021-05-19 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

We investigate the low-temperature behavior of two-dimensional (2D) RP$^{N-1}$ models, characterized by a global O($N$) symmetry and a local ${\mathbb Z}_2$ symmetry. For $N=3$ we perform large-scale simulations of four different 2D lattice…

Statistical Mechanics · Physics 2020-09-02 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

We investigate the phase diagram and finite-temperature transitions of three-dimensional scalar SO(Nc) gauge theories with Nf scalar flavors. These models are constructed starting from a maximally O(N)-symmetric multicomponent scalar model…

Statistical Mechanics · Physics 2021-01-01 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We study the two-dimensional lattice multicomponent Abelian-Higgs model, which is a lattice compact U(1) gauge theory coupled with an N-component complex scalar field, characterized by a global SU(N) symmetry. In agreement with the…

Statistical Mechanics · Physics 2020-02-19 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We consider three-dimensional lattice SU(Nc) gauge theories with degenerate multicomponent (Nf>1) complex scalar fields that transform under the fundamental representation of the gauge SU(Nc) group and of the global U(Nf) invariance group,…

Statistical Mechanics · Physics 2022-01-26 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

We address the interplay between local and global symmetries in determining the continuum limit of two-dimensional lattice scalar theories characterized by $SO(N_c)$ gauge symmetry and non-Abelian $O(N_f)$ global invariance. We argue that,…

High Energy Physics - Lattice · Physics 2022-05-25 Claudio Bonati , Alessio Franchi

We study the nature of the phase diagram of three-dimensional lattice models in the presence of nonabelian gauge symmetries. In particular, we consider a paradigmatic model for the Higgs mechanism, lattice scalar chromodynamics with N_f…

High Energy Physics - Lattice · Physics 2019-12-11 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We consider the $SU(2)$ gauge theory with $N_f=2$ flavors of Dirac fundamental fermions. We study the high-temperature behavior of the spectra of mesons, discretizing the theory on anisotropic lattices, and measuring the two-point…

High Energy Physics - Lattice · Physics 2017-04-26 Jong-Wan Lee , Biagio Lucini , Maurizio Piai

We consider the three-dimensional (3D) lattice SU($N_c$) gauge Higgs theories with multicomponent ($N_f>1$) degenerate scalar fields and U($N_f$) global symmetry, focusing on systems with $N_c=2$, to identify critical behaviors that can be…

High Energy Physics - Lattice · Physics 2025-04-29 Claudio Bonati , Andrea Pelissetto , Ivan Soler Calero , Ettore Vicari

We construct a lattice theory with one exact supersymmetry which consists of fields transforming in both the adjoint and fundamental representations of a U(Nc) gauge group. In addition to gluons and gluinos, the theory contains Nf flavors…

High Energy Physics - Lattice · Physics 2018-04-18 Simon Catterall , Aarti Veernala

SU(2) gauge theory is investigated with a lattice action which is insensitive to small perturbations of the lattice gauge fields. Bare perturbation theory can not be defined for such actions at all. We compare non-perturbative continuum…

High Energy Physics - Lattice · Physics 2018-08-29 Daniel Nogradi , Lorinc Szikszai , Zoltan Varga

Spontaneous symmetry breaking can persist at all temperatures in certain biconical $\mathrm{O}(N)\times \mathbb{Z}_2$ vector models when the underlying field theories are ultraviolet complete. So far, the existence of such theories has been…

High Energy Physics - Theory · Physics 2025-01-29 Bilal Hawashin , Junchen Rong , Michael M. Scherer

We present our lattice studies of SU(3) gauge theory with $N_f$ = 8 degenerate fermions in the fundamental representation. Using nHYP-smeared staggered fermions we study finite-temperature transitions on lattice volumes as large as $L^3…

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…

High Energy Physics - Lattice · Physics 2021-10-27 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

Universal features of continuous phase transitions can be investigated by studying the $\phi^4$ field theory with the corresponding global symmetry breaking pattern. When gauge symmetries are present, the same technique is usually applied…

High Energy Physics - Lattice · Physics 2021-10-12 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

$SU(N_c)$ lattice gauge theories with $N_f$ flavors of massless staggered fermions are considered at high quark chemical potential $\mu$ and any temperature $T$. In the strong coupling regime (sufficiently small $\beta$) they have been…

High Energy Physics - Lattice · Physics 2015-11-13 E. T. Tomboulis

We consider three-dimensional lattice SU($N_c$) gauge theories with multiflavor ($N_f>1$) scalar fields in the adjoint representation. We investigate their phase diagram, identify the different Higgs phases with their gauge-symmetry…

High Energy Physics - Lattice · Physics 2021-10-04 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

We use Monte Carlo simulation to probe the phase structure of a SU(2) gauge theory containing $N_f$ Dirac fermion flavors transforming in the fundamental representation of the group and interacting through an additional four fermion term.…

High Energy Physics - Lattice · Physics 2013-05-30 Simon Catterall , Richard Galvez , Jay Hubisz , Dhagash Mehta , Aarti Veernala
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