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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 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 investigate the relationship between the high temperature deconfined phase of the SU(2) gauge theory to the phases of the corresponding three dimensional adjoint Higgs model. For various temperatures we simulate the effective theory in a…

High Energy Physics - Lattice · Physics 2009-09-25 L. Karkkainen , P. Lacock , D. E. Miller , B. Petersson , T. Reisz

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…

High Energy Physics - Lattice · Physics 2024-07-31 Guilherme Catumba , Atsuki Hiraguchi , Wei-Shu Hou , Karl Jansen , Ying-Jer Kao , C. -J. David Lin , Alberto Ramos , Mugdha Sarkar

We compute the mass spectrum of the SU(2) adjoint Higgs model in 2+1 dimensions at several points located in the (metastable) confinement region of its phase diagram. We find a dense spectrum consisting of an almost unaltered repetition of…

High Energy Physics - Lattice · Physics 2009-10-31 A. Hart , O. Philipsen

We describe the phase diagram of a 2+1 dimensional SU(2) gauge theory of fluctuating incommensurate spin density waves for the hole-doped cuprates. Our primary assumption is that all low energy fermionic excitations are gauge neutral and…

Strongly Correlated Electrons · Physics 2019-03-06 Subir Sachdev , Harley D. Scammell , Mathias S. Scheurer , Grigory Tarnopolsky

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 study the effective field theory of a weakly coupled 3+1d gauged $\phi^4$ type model at high temperature. Our model has $4N$ real scalars ($N$ complex Higgs doublets) and a gauge group $SU(2)$ which is spontaneously broken by a nonzero…

High Energy Physics - Phenomenology · Physics 2009-10-22 Vidyut Jain , Aris Papadopoulos

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

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 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

A three-dimensional effective theory of the finite-temperature SU(5)+adjoint Higgs model is constructed using the method of dimensional reduction. The resulting theory can be used for computer simulations of the GUT phase transition of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Arttu Rajantie

We explore, by Monte Carlo and Mean Field methods, the five--dimensional SU(2) adjoint Higgs model. We allow for the possibility of different couplings along one direction, describing the so--called anisotropic model. This study is…

High Energy Physics - Lattice · Physics 2009-11-07 P. Dimopoulos , K. Farakos , G. Koutsoumbas

I present a three-dimensional effective theory that describes the high-temperature equilibrium behavior of the SU(5) theory accurately, but is much easier to study using non-perturbative methods than the original four-dimensional one. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Arttu Rajantie

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 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

The electroweak Higgs doublets are identified as components of a vector multiplet in a higher dimensional supersymmetric field theory. We construct a minimal model in 6D where the electroweak $SU(2) \otimes U(1)$ gauge group is extended to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Lawrence Hall , Yasunori Nomura , David Smith

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 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
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