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Related papers: Phase Structure and Critical Behavior of Multi-Hig…

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We study the three-dimensional compact U(1) lattice gauge theory with $N$ Higgs fields numerically. This model is relevant to multi-component superconductors, antiferromagnetic spin systems in easy plane, inflational cosmology, etc. For…

Superconductivity · Physics 2007-05-23 Tomoyoshi Ono , Ikuo Ichinose , Tetsuo Matsui

We investigate the phase diagram and critical behavior of three-dimensional multicomponent Abelian-Higgs models, in which an N-component complex field z_x^a of unit length and charge is coupled to compact quantum electrodynamics in the…

Statistical Mechanics · Physics 2019-10-30 Andrea Pelissetto , Ettore Vicari

Large-scale Monte Carlo simulations are employed to study phase transitions in the three-dimensional compact abelian Higgs model in adjoint representations of the matter field, labelled by an integer q, for q=2,3,4,5. We also study various…

Strongly Correlated Electrons · Physics 2009-11-10 J. Smiseth , E. Smoergrav , F. S. Nogueira , J. Hove , A. Sudbo

The phase diagram is investigated for SU(2) lattice gauge theory in d=3, coupled to adjoint scalars. For small values of the quartic scalar coupling, lambda, the transition separating Higgs and confinement phases is found to be first-order,…

High Energy Physics - Lattice · Physics 2009-10-28 A. Hart , O. Philipsen , J. D. Stack , M. Teper

We study the phase structure of the 3D nonlocal compact U(1) lattice gauge theory coupled with a Higgs field by means of Monte-Carlo simulations. The nonlocal interactions among gauge variables are along the temporal direction and mimic the…

High Energy Physics - Lattice · Physics 2009-11-11 Shunsuke Takashima , Ikuo Ichinose , Tetsuo Matsui , Kazuhiko Sakakibara

We study the phase diagram of the three-dimensional SU(3)+adjoint Higgs theory with lattice Monte Carlo simulations. A critical line consisting of a first order line, a tricritical point and a second order line, divides the phase diagram…

High Energy Physics - Lattice · Physics 2010-02-03 K. Kajantie , M. Laine , A. Rajantie , K. Rummukainen , M. Tsypin

We study the phase diagram and phase transitions of the three dimensional multicomponent lattice Higgs model with non-compact Abelian discrete groups. The model with non-compact U(1) gauge group is known to undergo, for a sufficiently large…

High Energy Physics - Lattice · Physics 2024-04-15 Claudio Bonati , Niccolò Francini

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

The three-dimensional lattice Higgs model with compact U(1) gauge symmetry and unit charge is investigated by means of Monte Carlo simulations. The full model with fluctuating Higgs amplitude is simulated, and both energy as well as…

Strongly Correlated Electrons · Physics 2010-01-15 Sandro Wenzel , Elmar Bittner , Wolfhard Janke , Adriaan M. J. Schakel , Arwed Schiller

We report a new type of multicritical point that arises from competition between the Higgs and confinement transitions in a Z_2 gauge system. The phase diagram of the 3d gauge Higgs model has been obtained by Monte-Carlo simulation on large…

Statistical Mechanics · Physics 2014-11-18 I. S. Tupitsyn , A. Kitaev , N. V. Prokof'ev , P. C. E. Stamp

We investigate under which conditions the three-dimensional (3D) multicomponent Abelian-Higgs (AH) field theory (scalar electrodynamics) is the continuum limit of statistical lattice gauge models, i.e., when it characterizes the universal…

Statistical Mechanics · Physics 2024-04-15 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We consider three-dimensional (3D) lattice Abelian Higgs models, with compact U(1) gauge variables coupled to a doubly-charged $N$-component complex scalar field (CLAH). We focus on their phase transitions between the disordered-confined…

Statistical Mechanics · Physics 2026-05-29 Claudio Bonati , Filippo Mariani , Ettore Vicari

Using Monte Carlo simulations, we study a Higgs transition in several three-dimensional lattice realizations of the noncompact CP$^1$ model (NCCP$^1$), a gauge theory with two complex matter fields with SU(2) invariance. By comparing with a…

Statistical Mechanics · Physics 2008-05-13 Olexei I. Motrunich , Ashvin Vishwanath

We investigate the phase diagram and the nature of the phase transitions of three-dimensional lattice gauge-Higgs models obtained by gauging the Z_N subgroup of the global Z_q invariance group of the Z_q clock model (N is a submultiple of…

Statistical Mechanics · Physics 2022-06-01 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

The 4D compact U(1) gauge theory has a well-established phase transition between a confining and a Coulomb phase. In this paper, we revisit this model using state-of-the-art Monte Carlo simulations on anisotropic lattices. We map out the…

High Energy Physics - Lattice · Physics 2024-04-25 Rafael C. Torres , Nuno Cardoso , Pedro Bicudo , Pedro Ribeiro , Paul McClarty

The SU(2)-Higgs model, with a single Higgs field in the fundamental representation and a quartic self-interaction, has a Higgs region and a confinement region which are analytically connected in the parameter space of the theory; these…

High Energy Physics - Lattice · Physics 2009-07-29 Mark Wurtz , Randy Lewis , T. G. Steele

We study the topological phase transitions occurring in three-dimensional (3D) multicomponent lattice Abelian-Higgs (LAH) models, in which an $N$-component scalar field is minimally coupled with a noncompact Abelian gauge field, with a…

Statistical Mechanics · Physics 2024-04-18 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

In this paper we study a 3D lattice spin model of CP$^1$ Schwinger-bosons coupled with dynamical compact U(1) gauge bosons. The model contains two parameters; the gauge coupling and the hopping parameter of CP$^1$ bosons. At large (weak)…

Strongly Correlated Electrons · Physics 2009-11-11 Shunsuke Takashima , Ikuo Ichinose , Tetsuo Matsui

We study the phases and phase transition lines of the finite temperature G(2) Higgs model. Our work is based on an efficient local hybrid Monte-Carlo algorithm which allows for accurate measurements of expectation values, histograms and…

High Energy Physics - Lattice · Physics 2011-06-08 Björn H. Wellegehausen , Andreas Wipf , Christian Wozar

In the present paper the phase transition in the regularized U(1) gauge theory is investigated using the dual Abelian Higgs model of scalar monopoles. The corresponding renormalization group improved effective potential, analogous to the…

High Energy Physics - Theory · Physics 2010-05-27 L. V. Laperashvili , H. B. Nielsen , D. A. Ryzhikh
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