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The phase diagrams and the nature of the phase transitions in multicomponent gauge theories with an Abelian gauge field are important topics with various physical applications. While an early renormalization-group-based study indicated that…

Strongly Correlated Electrons · Physics 2024-08-07 Daniel Weston , Karl Sellin , Egor Babaev

We study the MSSM finite temperature electroweak phase transition with lattice Monte Carlo simulations, for a large Higgs mass (m_H ~ 95 GeV) and light stop masses (m_tR ~ 150...160 GeV). We employ a 3d effective field theory approach,…

High Energy Physics - Lattice · Physics 2009-10-31 M. Laine , K. Rummukainen

We continue the study of the nonrelativistic short-distance completions of a naturally light Higgs, focusing on the interplay between the gauge symmetries and the polynomial shift symmetries. We investigate the naturalness of…

High Energy Physics - Theory · Physics 2019-08-08 Laure Berthier , Kevin T. Grosvenor , Ziqi Yan

We show by studying the Abelian Higgs model with numerical lattice simulations that non-thermal phase transitions arising out of preheating after inflation are possible in gauge-Higgs models under rather general circumstances. This may lead…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Rajantie , E. J. Copeland

Scalar particles in the adjoint representation of a non-Abelian gauge theory play an important role in many scenarios beyond the standard model, especially of GUT type. For such theories manifestly gauge-invariant, massless, composite…

High Energy Physics - Lattice · Physics 2020-11-30 Vincenzo Afferrante , Axel Maas , Pascal Törek

The scalar field theory and the scalar electrodynamics quantized in the flat gap are considered. The dynamical effects arising due to the boundary presence with two types of boundary conditions (BC) satisfied by scalar fields are studied.…

High Energy Physics - Theory · Physics 2015-07-27 A. N. Sissakian , O. Yu. Shevchenko , V. N. Samoilov

As a first step towards a quantitative understanding of the SU(4)/Sp(4) composite Higgs model through lattice calculations, we discuss the low energy effective field theory resulting from the SU(4) $\to$ Sp(4) global symmetry breaking…

High Energy Physics - Lattice · Physics 2018-04-18 Ed Bennett , Deog Ki Hong , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

In World Line Path Integral representation Abelian Higgs theories admit a curvature term in the Hamiltonian. Using Monte Carlo simulations we show that the curvature term drives a phase transition at sufficiently strong coupling. In…

High Energy Physics - Lattice · Physics 2007-05-23 A. Pap , P. Suranyi

SU(2) Yang-Mills field theory is considered in the framework of the generalized Hamiltonian approach and the equivalent unconstrained system is obtained using the method of Hamiltonian reduction. A canonical transformation to a set of…

High Energy Physics - Theory · Physics 2010-11-19 A. M. Khvedelidze , H. -P. Pavel

We report results of a study of the end point of the electroweak phase transition of the SU(2) gauge-Higgs model defined on a four-dimensional isotropic lattice with N_t=2. Finite-size scaling study of Lee-Yang zeros yields…

High Energy Physics - Lattice · Physics 2009-10-31 Y. Aoki , F. Csikor , Z. Fodor , A. Ukawa

We study the electroweak phase transition by lattice simulations of an effective 3--dimensional theory, for a Higgs mass of about 70 GeV. Exploiting, among others, a variant of the equal weight criterion of phase equilibrium, we obtain…

High Energy Physics - Lattice · Physics 2009-10-28 M. Guertler , E. -M. Ilgenfritz , J. Kripfganz , H. Perlt , A. Schiller

It has long argued that confinement in non-Abelian gauge theories, such as QCD, can be account for by analogy with typed II superconductivity. In this paper, we show that it is possible to arrive at an effective dual Abelian-Higgs model,…

High Energy Physics - Theory · Physics 2007-05-23 Duoje Jia

We study the viability of five-dimensional gauge theories as candidates for the origin of the Higgs field and its mechanism for spontaneous symmetry breaking. Within the framework of lattice field theory, we consider the simplest model of…

High Energy Physics - Lattice · Physics 2015-10-28 Maurizio Alberti , Nikos Irges , Francesco Knechtli , Graham Moir

We show how a strongly coupled lattice theory consisting of just fermions and gauge fields can exhibit a dynamical Higgs mechanism through the formation of a gauge invariant four fermion condensate. Furthermore, we argue that the resultant…

High Energy Physics - Lattice · Physics 2013-11-19 Simon Catterall , Aarti Veernala

We review recent progress in the lattice investigations of near-conformal non-abelian gauge theories relevant for dynamical symmetry breaking and model building of composite Higgs models. The emphasis is placed on the mass spectrum and the…

High Energy Physics - Lattice · Physics 2016-08-24 Daniel Nogradi , Agostino Patella

In the Higgs phase we may be left with a residual finite symmetry group H of the condensate. The topological interactions between the magnetic- and electric excitations in these so-called discrete H gauge theories are completely described…

High Energy Physics - Theory · Physics 2009-10-22 F. A. Bais , M. de Wild Propitius

The construction of non-Abelian Euclidean Yang-Mills theories in dimension four, as scaling limits of lattice Yang-Mills theories or otherwise, is a central open question of mathematical physics. This paper takes the following small step…

Probability · Mathematics 2026-05-20 Sourav Chatterjee

We derive finite-size scaling formulae for four-dimensional Higgs-Yukawa models near the Gaussian fixed point. These formulae will play an essential role in future, detailed investigation of such models. In particular, they can be used to…

High Energy Physics - Lattice · Physics 2015-11-03 David Y. -J. Chu , Karl Jansen , Bastian Knippschild , C. -J. David Lin , Kei-Ichi Nagai , Attila Nagy

The standard model of particle physics is generalized so as to be furnished with a horizontal symmetry generated by an intermediary algebra between simple Lie algebras $\mathfrak{su}(2)$ and $\mathfrak{su}(3)$. Above a certain high energy…

High Energy Physics - Phenomenology · Physics 2010-01-15 Ikuo S. Sogami

We consider the lattice realization of the Standard Model with an additional $Z_6$ symmetry. Numerical simulations were performed on the asymmetric lattice, which corresponds to the finite temperature theory. Our choice of parameters…

High Energy Physics - Lattice · Physics 2014-11-17 B. L. G. Bakker , A. I. Veselov , M. A. Zubkov