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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

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

In this paper we investigate the Hamiltonian dynamics of a lattice gauge model in three spatial dimension. Our model Hamiltonian is defined on the basis of a continuum version of a duality transformation of a three dimensional Ising model.…

Statistical Mechanics · Physics 2022-02-21 Giulio Pettini , Matteo Gori , Roberto Franzosi , Cecilia Clementi , Marco Pettini

We continue our numerical Monte Carlo simulation of a gas of closed loops on a 3 dimensional lattice, however now in the presence of a topological term added to the action corresponding to the total linking number between the loops. We…

High Energy Physics - Lattice · Physics 2010-11-11 R. MacKenzie , F. Nebia-Rahal , M. B. Paranjape , J. Richer

We study the phase transition in the abelian lattice gauge theory using the Wilson-Polyakov line as the order parameter. The Wilson-Polyakov line remains very small at strong coupling and becomes non-zero at weak coupling, signalling a…

High Energy Physics - Lattice · Physics 2008-02-03 Srinath Cheluvaraja

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 study on the lattice the 3d SU(2)+Higgs model, which is an effective theory of a large class of 4d high temperature gauge theories. Using the exact constant physics curve, continuum ($V\to\infty, a\to 0$) results for the properties of…

High Energy Physics - Lattice · Physics 2009-10-28 K. Kajantie , M. Laine , K. Rummukainen , M. Shaposhnikov

We study the non-compact version of the U(1) gauge-Higgs model in three dimensions for $m_H = 30 GeV.$ We found that, using this formulation, rather modest lattices approach quite well the infinite volume behaviour.The phase transition is…

High Energy Physics - Lattice · Physics 2011-09-13 P. Dimopoulos , K. Farakos , G. Koutsoumbas

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

We study by large-scale Monte Carlo simulation the $RP^3$ model, which can be regarded as an effective low-energy model of a triangular lattice Heisenberg antiferromagnet. $Z_2$ vortices appear as elementary excitations in the triangular…

Statistical Mechanics · Physics 2023-10-09 Tsuyoshi Okubo , Naoki Kawashima

Over the past decade, dynamical quantum phase transitions (DQPTs) have emerged as a paradigm shift in understanding nonequilibrium quantum many-body systems. However, the challenge lies in identifying order parameters that effectively…

Statistical Mechanics · Physics 2024-04-17 Arkadiusz Kosior , Markus Heyl

The effect of the strong electron correlation on the topological phase structure of 2-dimensional (2D) and 3D topological insulators is investigated, in terms of lattice gauge theory. The effective model for noninteracting system is…

Strongly Correlated Electrons · Physics 2013-11-18 Yasufumi Araki , Taro Kimura , Akihiko Sekine , Kentaro Nomura , Takashi Z. Nakano

Large-N phase transitions occurring in massive N=2 theories can be probed by Wilson loops in large antisymmetric representations. The logarithm of the Wilson loop is effectively described by the free energy of a Fermi distribution and…

High Energy Physics - Theory · Physics 2018-08-15 Jorge Russo , Konstantin Zarembo

We consider computations of Wilson loop expectations to leading order at large $\beta$ in the case where a non-abelian gauge field interacts with a Higgs boson. By identifying the main order contributions from minimal vortices, we can…

Mathematical Physics · Physics 2021-11-16 Arka Adhikari

We use lattice Monte Carlo simulations to study non-perturbatively the tension, i.e. the free energy per unit length, of an infinitely long vortex in the three-dimensional U(1)+Higgs theory. This theory is the low-energy effective theory of…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Kajantie , M. Laine , T. Neuhaus , J. Peisa , A. Rajantie , K. Rummukainen

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

It is difficult to derive the solid--fluid transition from microscopic models. We introduce particle systems whose potentials do not decay with distance and calculate their partition function exactly using a method similar to that for…

Statistical Mechanics · Physics 2015-09-04 Hisato Komatsu

Large-scale simulations on three-dimensional (3D) frustrated anisotropic XY model have been performed to study the nonequilibrium phase transitions of vortex matter in weak random pinning potential in layered superconductors. The…

Superconductivity · Physics 2009-11-07 Qing-Hu Chen , Xiao Hu

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 a lattice model of interacting loops in three dimensions with a $1/r^2$ interaction. Using Monte Carlo, we find that the phase diagram contains a line of second-order phase transitions between a phase where the loops are gapped and…

Statistical Mechanics · Physics 2015-06-04 Scott D. Geraedts , Olexei I. Motrunich
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