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We study the finite temperature electroweak transition with non-perturbative lattice Monte Carlo simulations. We find that it is of first order, at least for Higgs masses up to 80 GeV. The critical temperature of the phase transition is…

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

We present a renormalization group study of the scalar potential in a minimal $U(1)_{B-L}$ extension of the Standard Model involving one extra heavier Higgs and three heavy right-handed neutrinos with family universal B-L charge…

High Energy Physics - Phenomenology · Physics 2016-08-03 Claudio Coriano , Luigi Delle Rose , Carlo Marzo

We study analytically and numerically the three-dimensional U(1) lattice gauge theory at finite temperature in the dual formulation. For an appropriate disorder operator, we obtain the renormalization group equations describing the critical…

High Energy Physics - Lattice · Physics 2015-07-06 Oleg Borisenko , Volodymyr Chelnokov , Mario Gravina , Alessandro Papa

We investigate the confinement-Coulomb phase transition in the four-dimensional (4D) pure compact U(1) gauge theory on spherical lattices. The action contains the Wilson coupling beta and the double charge coupling gamma. The lattice is…

High Energy Physics - Lattice · Physics 2009-10-28 J. Jersak , C. B. Lang , T. Neuhaus

We analyse the finite temperature phase transition of scalar QED in euclidean spacetime. Analytical solutions of approximations to a Wilsonian renormalisation group equation are discussed. Special emphasis is put on the discussion of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Daniel F. Litim

We study numerically the SU(2) Kazakov-Migdal model of `induced QCD'. In contrast to our earlier work on the subject we have chosen here {\it not} to integrate out the gauge fields but to keep them in the Monte Carlo simulation. This allows…

High Energy Physics - Lattice · Physics 2009-10-22 Sinya Aoki , Andreas Gocksch , Yue Shen

Gauge symmetries and Higgs mechanisms are key features of theories describing high-energy particle physics and collective phenomena in statistical and condensed-matter physics. In this review we address the collective behavior of systems of…

Statistical Mechanics · Physics 2025-06-10 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We simulate the 2d U(1) gauge Higgs model on the lattice with a topological angle $\theta$. The corresponding complex action problem is overcome by using a dual representation based on the Villain action appropriately endowed with a…

High Energy Physics - Lattice · Physics 2018-10-17 Christof Gattringer , Daniel Göschl , Tin Sulejmanpasic

We analyze in detail a second order phase transition that occurs in large N Gaussian multi-matrix models in which the matrices are constrained to be commuting. The phase transition occurs as the relative masses of the matrices are varied,…

High Energy Physics - Theory · Physics 2007-07-02 Ofer Aharony , Sean A. Hartnoll

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 use an optimised hopping parameter expansion for the free energy (linear delta expansion) to study the phase transitions at finite temperature and finite charge density in a global U(1) scalar Higgs sector on the lattice at large lattice…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. S. Evans , H. F. Jones , D. Winder

In this present paper, it is proposed the renormalization techniques in the investigation of phase transition phenomena in $p$-adic statistical mechanics. We mainly study $p$-adic $\l$-model on the Cayley tree of order two. We consider…

Mathematical Physics · Physics 2015-06-22 Farrukh Mukhamedov

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 U(2) lattice gauge theory in the pure gauge sector using the simplest action, with determinant and fundamental terms, having the naive continuum limit of SU(2)$\times$U(1). We determine part of the phase diagram of the model…

High Energy Physics - Lattice · Physics 2009-09-25 Claude Roiesnel

A variational method is used to analyse compact U(1) gauge theory in 2+1-dimensions at finite temperature, T, weak coupling, g and where the fundamental magnetic monopoles have magnetic charge 2\pi n/g. The theory undergoes a critical…

High Energy Physics - Theory · Physics 2009-11-07 B. M. Gripaios

The phase diagram of SO(3) lattice gauge theory is investigated by Monte Carlo techniques on both symmetric and asymmetric lattices with a view (i) to understanding the relationship between the bulk transition and the deconfinement…

High Energy Physics - Lattice · Physics 2009-10-30 Saumen Datta , Rajiv V. Gavai

Adding separate chemical potentials lambda and gamma for Z2 monopoles and vortices respectively in the Villain form of the mixed fundamental-adjoint action for the SU(2) lattice gauge theory, we investigate their role in the interplay…

High Energy Physics - Lattice · Physics 2009-10-31 Saumen Datta , R. V. Gavai

Motivated by a variety of realizations of the compact Lifshitz model I derive its fractonic gauge dual. The resulting U(1) vector gauge theory efficiently and robustly encodes the restricted mobility of its dipole conserving charged matter…

Strongly Correlated Electrons · Physics 2022-12-14 Leo Radzihovsky

We present a detailed analysis of the phase transition in the standard model at finite temperature. Using an improved perturbation theory, where plasma masses are determined from a set of one-loop gap equations, we evaluate the effective…

High Energy Physics - Phenomenology · Physics 2016-08-14 W. Buchmüller , Z. Fodor T. Helbig , D. Walliser

We examine the phase structure of massive Yang-Mills theory in 1+1 dimensions. This theory is equivalent to a gauged principal chiral sigma model. It has been previously shown that the gauged theory has only a confined phase, and no Higgs…

High Energy Physics - Lattice · Physics 2015-12-22 Axel Cortés Cubero