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Related papers: nPI Resummation in 3D SU(N) Higgs Theory

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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

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

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

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 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

We study to what extent the three-dimensional SU(N)+adjoint Higgs theory can be used as an effective theory for finite temperature SU(N) gauge theory, with N=2,3. The parameters of the 3d theory are computed in 2-loop perturbation theory in…

High Energy Physics - Phenomenology · Physics 2009-10-30 K. Kajantie , M. Laine , K. Rummukainen , M. Shaposhnikov

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

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

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

The 3PI method is a technique to resum an infinite class of diagrams, which may be useful in studying nonperturbative thermodynamics and dynamics in quantum field theory. But it has never been successfully applied to gauge theories, where…

High Energy Physics - Phenomenology · Physics 2013-12-04 Mark C. Abraao York , Guy D. Moore , Marcus Tassler

The essential features of the high-temperature electroweak phase transition are contained in a three-dimensional super-renormalizable effective field theory. We calculate the exact counterterms needed for lattice simulations of the…

High Energy Physics - Lattice · Physics 2009-10-28 M. Laine

We study the three-dimensional U(1)+Higgs theory (Ginzburg-Landau model) as an effective theory for finite temperature phase transitions from the 1 K scale of superconductivity to the relativistic scales of scalar electrodynamics. The…

High Energy Physics - Lattice · Physics 2009-10-30 K. Kajantie , M. Karjalainen , M. Laine , J. Peisa

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 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

We study the phase transition in SU(2)-Higgs model on the lattice using the 3D dimensionally reduced formalism. The 3D formalism enables us to obtain highly accurate Monte Carlo results, which we extrapolate both to the infinite volume and…

High Energy Physics - Lattice · Physics 2009-10-28 K. Farakos , K. Kajantie , M. Laine , K. Rummukainen , M. Shaposhnikov

We study an SU(N) gauge-Higgs model with N_F massless fundamental fermions on M^3 \otimes S^1. The model has two kinds of order parameters for gauge symmetry breaking: the component gauge field for the S^1 direction (Hosotani mechanism) and…

High Energy Physics - Theory · Physics 2016-09-06 Hisaki Hatanaka , Katsuhiko Ohnishi , Makoto Sakamoto , Kazunori Takenaga

We present a non-perturbative model of Gauge-Higgs Unification. We consider a five-dimensional pure SU(2) gauge theory with orbifold boundary conditions along the fifth dimension, such that the symmetry is reduced to U(1) at the fixed…

High Energy Physics - Lattice · Physics 2015-06-12 Nikos Irges , Francesco Knechtli , Kyoko Yoneyama

We construct the zero temperature (no compact dimensions) effective action for an SU(2) Yang-Mills theory in five dimensions, with boundary conditions that reduce the symmetry on the four-dimensional boundary located at the origin to a…

High Energy Physics - Theory · Physics 2021-03-02 Nikos Irges , Fotis Koutroulis

We investigate the phase transition in the three-dimensional abelian Higgs model for N complex scalar fields, using the gauge-invariant average action \Gamma_{k}. The dependence of \Gamma_{k} on the effective infra-red cut-off k is…

Condensed Matter · Physics 2015-06-25 B. Bergerhoff , D. Litim , S. Lola , C. Wetterich

The continuum 3d SU(2)$\times$U(1)+Higgs theory is an effective theory for a large class of 4d high-temperature gauge theories, including the minimal standard model and some of its supersymmetric extensions. We study the effects of the U(1)…

High Energy Physics - Lattice · Physics 2008-11-26 K. Kajantie , M. Laine , K. Rummukainen , M. Shaposhnikov
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