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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 study the three-dimensional (3D) compact U(1) lattice gauge theory coupled with $N$-flavor Higgs fields by means of the Monte Carlo simulations. This model is relevant to multi-component superconductors, antiferromagnetic spin systems in…

High Energy Physics - Lattice · Physics 2009-10-26 T. Ono , S. Doi , Y. Hori , I. Ichinose , T. Matsui

A recent work (arXiv:1811.04930) proposed a SU(2) gauge theory for optimal doping criticality in the cuprate superconductors. The theory contains $N_h$ Higgs fields transforming under the adjoint representation of SU(2), with $N_h=1$ for…

Strongly Correlated Electrons · Physics 2020-05-27 Harley D. Scammell , Kartik Patekar , Mathias S. Scheurer , Subir Sachdev

Markov chain Monte Carlo simulations of pure SU(2)xU(1) lattice gauge theory show a (zero temperature) deconfining phase transition in the SU(2) gluon sector when a term is added to the SU(2) and U(1) Wilson actions, which requires joint…

High Energy Physics - Lattice · Physics 2016-02-17 Bernd A. Berg

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

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 consider a SU(2) lattice gauge theory on the square lattice, with a single fundamental complex fermion and a single fundamental complex boson on each lattice site. Projective symmetries of the gauge-charged fermions are chosen so that…

Strongly Correlated Electrons · Physics 2024-07-03 Maine Christos , Henry Shackleton , Subir Sachdev , Zhu-Xi Luo

The properties of the Confinement-Higgs phase transition in the SU(2)-Higgs model with fixed modulus are investigated. We show that the system exhibits a transient behavior up to L=24 along which the order of the phase transition cannot be…

High Energy Physics - Lattice · Physics 2009-10-30 Isabel Campos

We perform a detailed study of the phase diagram of the lattice Higgs SU(2) model with fixed Higgs field length. Consistently with previsions based on the Fradkin Shenker theorem we find a first order transition line with an endpoint whose…

High Energy Physics - Lattice · Physics 2010-02-17 C. Bonati , G. Cossu , M. D'Elia , A. Di Giacomo

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

3d lattice studies have recently attracted a lot of attention, especially in connection with finite temperature field theories. One ingredient in these studies is a perturbative computation of the 2-loop lattice counterterms, which are…

High Energy Physics - Lattice · Physics 2009-10-30 M. Laine , A. Rajantie

We study the finite-temperature phase structure of the four-dimensional ${\rm SU(2)}$ adjoint Higgs model, focusing on a possible deconfinement-Higgs continuity: the conjecture that the high-temperature deconfined phase of Yang-Mills theory…

High Energy Physics - Theory · Physics 2025-10-20 Yui Hayashi , Masashi Kawahira , Hiromasa Watanabe

We study numerically the critical properties of the U(1)-Higgs lattice model, with fixed Higgs modulus, in the region of small gauge coupling where the Higgs and Confining phases merge. We find evidence of a first order transition line that…

High Energy Physics - Lattice · Physics 2008-11-26 Alonso , Azcoiti , Campos , Ciria , Cruz , Iniguez , lesmes , Piedrafita , Rivero , Tarancon , Badoni , Fernandez , Munoz Sudupe , Ruiz Lorenzo , Gonzalez Arroyo , Martinez , Pech , Tellez

We outline two approaches for studying the electroweak phase transition in the framework of the four-dimensional SU(2) Higgs model on a lattice. The first one is based on a combination of variational estimates for the free energy and a…

High Energy Physics - Lattice · Physics 2007-05-23 H. Meyer-Ortmanns , T. Reisz

The phase structure of the 3D SU(2)--Higgs model, the dimensionally reduced effective theory for the electroweak model at finite temperature, is analysed on the lattice using a variant of the linear $\de$--expansion. We develop a systematic…

High Energy Physics - Phenomenology · Physics 2009-10-30 T. S. Evans , H. F. Jones , A. Ritz

The Higgs SU(2) model with fixed Higgs length is usually believed to have two different phases at high gauge coupling (\beta), separated by a line of first order transitions but not distinuguished by any typical symmetry associated with a…

High Energy Physics - Lattice · Physics 2009-04-14 C. Bonati , G. Cossu , A. D'Alessandro , M. D'Elia , A. Di Giacomo

We investigate the properties of the Confinement-Higgs phase transition in the SU(2)-Higgs model. The system is shown to exhibit a transient behavior up to L=24 along which, the order of the phase transition cannot be discerned. In order to…

High Energy Physics - Lattice · Physics 2009-10-30 I. Campos

We re-examine by numerical simulation the phase structure of the (3+1)-dimensional SU(2) lattice gauge theory (LGT) with gauge fields coupled to Higgs fields at finite temperature. Concretely, we explore two different order parameters which…

High Energy Physics - Lattice · Physics 2025-11-17 B. Allés , O. Borisenko , A. Papa

We study a 3-dimensional SU(2) gauge theory with 4 Higgs fields which transform under the adjoint representation of the gauge group, that has been recently proposed by Sachdev et al. to explain the physics of cuprate superconductors near…

A missing piece is added to the Svetitsky-Yaffe conjecture. The spin model in the same universality class as the (2+1)d SU(4) theory, the 2d Ashkin-Teller model, has a line of continuously varying critical exponents. The exponents measured…

High Energy Physics - Lattice · Physics 2009-11-10 Philippe de Forcrand , Oliver Jahn
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