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We study the potential energy between static charges in G(2) gluodynamics in three and four dimensions. Our work is based on an efficient local hybrid Monte-Carlo algorithm and a multi-level L\"uscher-Weisz algorithm with exponential error…

高能物理 - 格点 · 物理学 2011-02-25 Bjoern H. Wellegehausen , Andreas Wipf , Christian Wozar

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…

高能物理 - 格点 · 物理学 2011-06-08 Björn H. Wellegehausen , Andreas Wipf , Christian Wozar

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…

In the lattice gauge-scalar model with a single scalar field in the fundamental representation of the gauge group SU(2), we have quite recently found that there exists a gauge-independent transition line separating the Confinement and Higgs…

高能物理 - 格点 · 物理学 2025-04-08 Akihiro Shibata , Kei-Ichi Kondo

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…

高能物理 - 格点 · 物理学 2025-11-17 B. Allés , O. Borisenko , A. Papa

The lattice SU(2) gauge-scalar model with the scalar field in the adjoint representation of the gauge group has two completely separated confinement and Higgs phases according to the preceding studies based on numerical simulations which…

高能物理 - 格点 · 物理学 2024-08-06 Akihiro Shibata , Kei-Ichi Kondo

We re-examine by numerical simulation the phase structure of the three-dimensional Abelian lattice gauge theory (LGT) with $Z(2)$ gauge fields coupled to $Z(2)$-valued Higgs fields. Concretely, we explore two different order parameters…

高能物理 - 格点 · 物理学 2025-01-30 B. Allés , O. Borisenko , A. Papa

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…

高能物理 - 格点 · 物理学 2009-10-26 T. Ono , S. Doi , Y. Hori , I. Ichinose , T. Matsui

We study the confinement-deconfinement transition in $SU(2)$ gauge theory in the presence of massless bosons using lattice Monte Carlo simulations. The nature of this transition depends on the temporal extent ($N_\tau$) of the Euclidean…

高能物理 - 格点 · 物理学 2017-07-19 Minati Biswal , Mridupawan Deka , Sanatan Digal , P. S. Saumia

The phase diagram of five-dimensional SU(2) gauge theories is explored using Monte Carlo simulations of the theory discretized on a Euclidean lattice using the Wilson plaquette action and periodic boundary conditions. We simulate…

高能物理 - 格点 · 物理学 2015-05-30 Francesco Knechtli , Magdalena Luz , Antonio Rago

We determine the phase structure of an SU(2) gauge theory with an adjoint scalar on $R^{3}\times S^{1}$ using semiclassical methods. There are two global symmetries: a $Z(2)_{H}$ symmetry associated with the Higgs field and a $Z(2)_{C}$…

高能物理 - 理论 · 物理学 2012-06-20 Hiromichi Nishimura , Michael C. Ogilvie

According to the preceding studies, the lattice SU(2) gauge-scalar model with a single scalar field in the fundamental representation of the gauge group has a single confinement-Higgs phase where confinement and Higgs regions are subregions…

高能物理 - 格点 · 物理学 2024-03-26 Ryu Ikeda , Seikou Kato , Kei-Ichi Kondo , Akihiro Shibata

We have simulated $(3+1)-$dimensional finite temperature $Z_2$ gauge theory by using Metropolis algorithm. We aimed to observe the deconfinement phase transitions by using geometric methods. In order to do so we have proposed two different…

高能物理 - 格点 · 物理学 2016-08-16 Semra Gündüç , Mehmet Dilaver , Yiğit Gündüç

Gauge theories with matter fields in various representations play an important role in different branches of physics. Recently, it was proposed that several aspects of the interesting pseudogap phase of cuprate superconductors near optimal…

We study numerically the phase structure and the gluon propagator of the SU(2) gauge-Higgs model in two dimensions. First, we calculate gauge-invariant quantities, in particular the static potential from Wilson Loop, the W propagator, and…

高能物理 - 格点 · 物理学 2015-06-18 Shinya Gongyo , Daniel Zwanziger

The lattice gauge-scalar model with the scalar field in the fundamental representation of the gauge group has a single confinement-Higgs phase which is well-known as the Fradkin-Shenker-Osterwalder-Seiler analytic continuity theorem:…

高能物理 - 格点 · 物理学 2024-01-19 Ryu Ikeda , Kei-Ichi Kondo , Akihiro Shibata , Seikou Kato

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,…

高能物理 - 格点 · 物理学 2009-10-28 A. Hart , O. Philipsen , J. D. Stack , M. Teper

The Z2 gauge-Higgs model in three dimensions has two different types of phase transition, confinement-deconfinement and Higgs magnetization. Here they are explored through two order parameters, the Coulomb magnetization which is a local…

高能物理 - 格点 · 物理学 2021-09-13 Michael Grady

We investigate gauge theories based on the smallest exceptional simple lie group G(2). Our first model considered here is G(2) Yang-Mills coupled to a fundamental Higgs field. In 4 spacetime dimensions we explore the phase diagram of the…

高能物理 - 格点 · 物理学 2011-11-03 Björn H. Wellegehausen

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…

超导电性 · 物理学 2007-05-23 Tomoyoshi Ono , Ikuo Ichinose , Tetsuo Matsui
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