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We explore the phase diagram of the five-dimensional anisotropic Abelian Higgs model by Monte Carlo simulations. In particular, we study the transition between the confining phase and the four dimensional layered Higgs phase. We find that,…

High Energy Physics - Lattice · Physics 2011-09-13 P. Dimopoulos , K. Farakos , S. Nicolis

We establish the phase diagram of the five-dimensional anisotropic Abelian Higgs model by mean field techniques and Monte Carlo simulations. The anisotropy is encoded in the gauge couplings as well as in the Higgs couplings. In addition to…

High Energy Physics - Lattice · Physics 2010-02-03 P. Dimopoulos , K. Farakos , C. P. Korthals-Altes , G. Koutsoumbas , S. Nicolis

So far it has been found by using lattice techniques that in the anisotropic five--dimensional Abelian Higgs model, a layered Higgs phase exists in addition to the expected five--dimensional one. The exploration of the phase diagram has…

High Energy Physics - Phenomenology · Physics 2009-11-10 P. Dimopoulos , K. Farakos

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

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

We study the phase structure of the 3D nonlocal compact U(1) lattice gauge theory coupled with a Higgs field by means of Monte-Carlo simulations. The nonlocal interactions among gauge variables are along the temporal direction and mimic the…

High Energy Physics - Lattice · Physics 2009-11-11 Shunsuke Takashima , Ikuo Ichinose , Tetsuo Matsui , Kazuhiko Sakakibara

The Abelian Higgs model with anisotropic couplings in 2+1 dimensions is studied in both the compact and non-compact formulations. Decoupling of the space-like planes takes place in the extreme anisotropic limit, so charged particles and…

High Energy Physics - Lattice · Physics 2009-10-31 P. Dimopoulos , K. Farakos , G. Koutsoumbas

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

The abelian Higgs model and its phase structure are discussed from the perspective that the gauge and scalar fields admit a dual description in terms of fermion variables. The results which indicate the presence of three main phases:…

High Energy Physics - Phenomenology · Physics 2017-06-12 Renata Jora

We re-examine by numerical simulation the phase structure of the three-dimensional Abelian lattice gauge theory (LGT) with $Z(2)$ gauge fields coupled to $Z(2)$-valued Higgs fields. Concretely, we explore two different order parameters…

High Energy Physics - Lattice · Physics 2025-01-30 B. Allés , O. Borisenko , A. Papa

We determine the phase diagram of the Abelian-Higgs model in one spatial dimension and time (1+1D) on a lattice. We identify a line of first order phase transitions separating the Higgs region from the confined one. This line terminates in…

High Energy Physics - Theory · Physics 2023-01-04 Titas Chanda , Maciej Lewenstein , Jakub Zakrzewski , Luca Tagliacozzo

We extend to large lattices the work of a previous investigation of the phase diagram of the anisotropic five-dimensional SU(2) Yang-Mills model using Monte Carlo simulations in the regime where the lattice spacing in the fifth dimension is…

High Energy Physics - Lattice · Physics 2013-09-17 Luigi Del Debbio , Richard D. Kenway , Eliana Lambrou , Enrico Rinaldi

We find 3-brane Higgs and Coulomb phases in the 5D Abelian Higgs Model and determine the transition surfaces that separate them from the usual bulk phases.

High Energy Physics - Lattice · Physics 2015-06-25 P. Dimopoulos , K. Farakos , C. P. Korthals-Altes , G. Koutsoumbas , S. Nicolis

We investigate the nature of the deconfinement transitions in three-dimensional lattice Abelian Higgs models, in which a complex scalar field of integer charge $Q\ge 2$ is minimally coupled with a compact $U(1)$ gauge field. Their phase…

High Energy Physics - Lattice · Physics 2024-09-17 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

The phase diagram of five-dimensional SU(2) gauge theories is explored using Monte Carlo simulations of the theory discretized on a Euclidean lattice using the Wilson plaquette action and periodic boundary conditions. We simulate…

High Energy Physics - Lattice · Physics 2015-05-30 Francesco Knechtli , Magdalena Luz , Antonio Rago

The compact Abelian Higgs model is simulated on a cubic lattice where it possesses vortex lines and pointlike magnetic monopoles as topological defects. The focus of this high-precision Monte Carlo study is on the vortex network, which is…

High Energy Physics - Lattice · Physics 2008-11-26 Sandro Wenzel , Elmar Bittner , Wolfhard Janke , Adriaan M. J. Schakel

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

We study a 4+1 dimensional pure Abelian Gauge model on the lattice with two anisotropic couplings independent of each other and of the coordinates. A first exploration of the phase diagram using mean field approximation and monte carlo…

High Energy Physics - Lattice · Physics 2008-11-26 P. Dimopoulos , K. Farakos , S. Vrentzos

According to recent work of Greensite and Matsuyama, the Higgs phase of a gauge Higgs theory is distinguished from the confinement and massless phases by the spontaneous breaking of a global center subgroup of the gauge group, and by…

High Energy Physics - Lattice · Physics 2022-03-01 David Ward

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
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