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We study the classical dynamics of the Abelian-Higgs model in (1+1) space-time dimensions bf for the case of strongly broken gauge symmetry. In this limit the wells of the potential are almost harmonic and sufficiently deep, presenting a…

High Energy Physics - Theory · Physics 2015-03-05 F. K. Diakonos , G. C. Katsimiga , X. N. Maintas , C. E. Tsagkarakis

We study the phase diagram and phase transitions of the three dimensional multicomponent lattice Higgs model with non-compact Abelian discrete groups. The model with non-compact U(1) gauge group is known to undergo, for a sufficiently large…

High Energy Physics - Lattice · Physics 2024-04-15 Claudio Bonati , Niccolò Francini

A natural question about Quantum Field Theory is whether there is a deformation to a trivial gapped phase. If the underlying theory has an anomaly, then symmetric deformations can never lead to a trivial phase. We discuss such discrete…

High Energy Physics - Theory · Physics 2019-01-09 Zohar Komargodski , Adar Sharon , Ryan Thorngren , Xinan Zhou

We study perturbations that break gauge symmetries in lattice gauge theories. As a paradigmatic model, we consider the three-dimensional Abelian-Higgs (AH) model with an N-component scalar field and a noncompact gauge field, which is…

High Energy Physics - Lattice · Physics 2021-09-01 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

Through a detailed numerical investigation in three spatial dimensions, we demonstrate that long-lived time-dependent field configurations emerge dynamically during symmetry breaking in an expanding de Sitter spacetime. We investigate two…

Cosmology and Nongalactic Astrophysics · Physics 2010-09-01 Marcelo Gleiser , Noah Graham , Nikitas Stamatopoulos

We study the effects of gauge-symmetry breaking (GSB) perturbations in three-dimensional lattice gauge theories with scalar fields. We study this issue at transitions in which gauge correlations are not critical and the gauge symmetry only…

High Energy Physics - Lattice · Physics 2021-08-04 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We investigate the phase diagram and critical behavior of three-dimensional multicomponent Abelian-Higgs models, in which an N-component complex field z_x^a of unit length and charge is coupled to compact quantum electrodynamics in the…

Statistical Mechanics · Physics 2019-10-30 Andrea Pelissetto , Ettore Vicari

The real-time dynamics of topological defects and turbulent configurations of gauge fields for electric and magnetic confinement are studied numerically within a 2+1D Abelian Higgs model. It is shown that confinement is appearing in such…

High Energy Physics - Phenomenology · Physics 2015-06-16 Thomas Gasenzer , Larry McLerran , Jan M. Pawlowski , Dénes Sexty

We derive a set of gauge independent gap equations for Higgs boson and vector boson masses for the SU(2) Higgs model in three dimensions. The solutions can be associated with the Higgs phase and the symmetric phase, respectively. In the…

High Energy Physics - Phenomenology · Physics 2009-10-28 W. Buchmuller , O. Philipsen

We consider multicomponent Abelian Higgs (AH) gauge theories with multiparameter scalar quartic potentials that are extensions, with a smaller global symmetry group, of $SU(N)$-invariant AH theories. In particular, we consider an AH model…

Statistical Mechanics · Physics 2024-04-16 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

The dynamics of symmetry breaking is an important issue in many branches of physics including the real time onset of the Higgs-effect. In this thesis I examine the linear and non-linear evolution of different systems in the broken symmetric…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zsolt Szep

In this paper the two dimensional Abelian Higgs model is revisited. We show that in the physical sector, this model describes the coupling of the electric field to the radial part, in field space, of the complex scalar field.

High Energy Physics - Theory · Physics 2008-12-04 Laure Gouba , Jan Govaerts

Real time excitations in the broken symmetry phase of the classical Abelian Higgs model are investigated numerically in the unitary gauge. Persistent correlation is detected at finite energy density between the scalar and the longitudinal…

High Energy Physics - Phenomenology · Physics 2013-05-29 D. Sexty , A. Patkos

We consider three-dimensional higher-charge multicomponent lattice Abelian-Higgs (AH) models, in which a compact U(1) gauge field is coupled to an N-component complex scalar field with integer charge q, so that they have local U(1) and…

Statistical Mechanics · Physics 2021-01-04 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We consider a three-dimensional lattice Abelian Higgs gauge model for a charged $N$-component scalar field ${\phi}$, which is invariant under $SO(N)$ global transformations for generic values of the parameters. We focus on the…

Statistical Mechanics · Physics 2024-06-21 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We consider a noncompact lattice formulation of the three-dimensional electrodynamics with $N$-component complex scalar fields, i.e., the lattice Abelian-Higgs model with noncompact gauge fields. For any $N\ge 2$, the phase diagram shows…

Statistical Mechanics · Physics 2021-02-10 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We study the phase structure of a three dimensional Abelian Higgs model with singly- and doubly-charged scalar fields coupled to a compact Abelian gauge field. The model is pretending to describe systems of strongly correlated electrons…

Strongly Correlated Electrons · Physics 2009-11-11 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

In this paper we study a system inspired on certain SUSY breaking models and on more recent Dark Matter scenarios. In our set-up, two Abelian gauge fields interact via an operator that mixes their kinetic terms. We find the extended…

High Energy Physics - Theory · Physics 2015-06-23 Paola Arias , Edwin Ireson , Carlos Núñez , Fidel Schaposnik

Interactions between non-BPS non-Abelian vortices are studied in non-Abelian U(1) x SU(N) extensions of the Abelian-Higgs model in four dimensions. In addition to the usual type I/II Abelian superconductors, we find other two new regimes:…

High Energy Physics - Theory · Physics 2017-08-23 Minoru Eto

We study the phase structure of the abelian Higgs model in three dimensions based on perturbation theory and a set of gauge independent gap equations for Higgs boson and vector boson masses. Contrary to the non-abelian Higgs model, the…

High Energy Physics - Phenomenology · Physics 2009-10-28 W. Buchmuller , O. Philipsen
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