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An analysis of scaling along the first-order bulk transition line in fundamental-adjoint SU(2) lattice gauge theory strongly supports the first-order endpoint being a tricritical point, and is inconsistent with it being an ordinary critical…

高能物理 - 格点 · 物理学 2009-11-10 Michael Grady

We investigate under which conditions the three-dimensional (3D) multicomponent Abelian-Higgs (AH) field theory (scalar electrodynamics) is the continuum limit of statistical lattice gauge models, i.e., when it characterizes the universal…

统计力学 · 物理学 2024-04-15 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We study 2d U(1) gauge Higgs systems with a $\theta$-term. For properly discretizing the topological charge as an integer we introduce a mixed group- and algebra-valued discretization (MGA scheme) for the gauge fields, such that the charge…

高能物理 - 格点 · 物理学 2018-10-24 Daniel Göschl , Christof Gattringer , Tin Sulejmanpasic

In the ``Type-II'' regime, $m_{\rm Higgs}\gap m_{\rm gauge}$, the finite-temperature phase transition in spontaneously-broken gauge theories (including the standard model) must be be studied using a renormalization group treatment. Previous…

高能物理 - 唯象学 · 物理学 2009-10-22 John March-Russell

The investigation and characterization of topological quantum phase transition between gapless phases is one of the recent interest of research in topological states of matter. We consider transverse field Ising model with three spin…

强关联电子 · 物理学 2021-01-18 Ranjith R Kumar , Y R Kartik , S Rahul , Sujit Sarkar

We investigate the topological phase transitions of the deformed $\mathbb{Z}_3$ toric code, constructed by applying local deformations to the $\mathbb{Z}_3$ cluster state followed by projective measurements. Using the loop-gas and net…

量子物理 · 物理学 2026-03-11 Yun-Tak Oh , Hyun-Yong Lee

In this chapter we discuss aspects of the quantum critical behavior that occurs at a quantum phase transition separating a topological phase from a conventionally ordered one. We concentrate on a family of quantum lattice models, namely…

强关联电子 · 物理学 2015-05-14 Claudio Castelnovo , Simon Trebst , Matthias Troyer

Mapping the QCD phase boundary and locating critical end point still remains as an open problem in strong interaction physics. Predictions about the co-ordinates of the critical point in the $(T, \mu_B)$ plane, from different QCD motivated…

高能物理 - 唯象学 · 物理学 2011-01-26 Partha Pratim Bhaduri , Victor Roy , A. K. Chaudhuri

Using previous results from boundary conformal field theory and integrability, a phase diagram is derived for the 2 dimensional Ising model at its bulk tri-critical point as a function of boundary magnetic field and boundary spin-coupling…

统计力学 · 物理学 2008-11-26 Ian Affleck

We study a continuous quantum phase transition that breaks a $Z_2$ symmetry. We show that the transition is described by a new critical point which does not belong to the Ising universality class, despite the presence of well defined…

强关联电子 · 物理学 2011-07-19 Ying Ran , Xiao-gang Wen

We study a generalization of the two-dimensional transverse-field Ising model, combining both ferromagnetic and antiferromagnetic two-body interactions, that hosts exact global and local Z2 gauge symmetries. Using exact diagonalization and…

强关联电子 · 物理学 2021-09-01 Kai-Hsin Wu , Zhi-Cheng Yang , Dmitry Green , Anders W. Sandvik , Claudio Chamon

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…

高能物理 - 格点 · 物理学 2025-01-30 B. Allés , O. Borisenko , A. Papa

We study the phase diagram and multicritical behavior of anisotropic Heisenberg antiferromagnets on a square lattice in the presence of a magnetic field along the easy axis. We argue that, beside the Ising and XY critical lines, the phase…

统计力学 · 物理学 2009-11-13 Andrea Pelissetto , Ettore Vicari

We find a series of topological phase transitions of increasing order, beyond the more standard second-order phase transition in a one-dimensional topological superconductor. The jumps in the order of the transitions depend on the range of…

统计力学 · 物理学 2018-04-04 P. Cats , A. Quelle , O. Viyuela , M. A. Martin-Delgado , C. Morais Smith

We study a phase transition in a 3D lattice gauge theory, a "coarse-grained" version of a classical dimer model. Duality arguments indicate that the dimer lattice theory should be dual to a XY model coupled to a gauge field with geometric…

强关联电子 · 物理学 2009-11-13 D. Charrier , F. Alet , P. Pujol

It is pointed out that phase structures of gauge theories compactified on non-simply connected spaces are not trivial. As a demonstration, an SU(2) gauge model on $M^3\otimes S^1$ is studied and is shown to possess three phases: Hosotani,…

高能物理 - 理论 · 物理学 2009-11-07 Hisaki Hatanaka , Katsuhiko Ohnishi , Makoto Sakamoto , Kazunori Takenaga

Using Monte Carlo simulations, we study a Higgs transition in several three-dimensional lattice realizations of the noncompact CP$^1$ model (NCCP$^1$), a gauge theory with two complex matter fields with SU(2) invariance. By comparing with a…

统计力学 · 物理学 2008-05-13 Olexei I. Motrunich , Ashvin Vishwanath

Continuous quantum phase transitions that are beyond the conventional paradigm of fluctuations of a symmetry breaking order parameter are challenging for theory. These phase transitions often involve emergent deconfined gauge fields at the…

强关联电子 · 物理学 2019-05-29 Zhen Bi , T. Senthil

The phase transition "Coulomb-confinement" in the U(1) regularized gauge theory is considered in the framework of dual Abelian Higgs model of scalar monopoles (shortly: Higgs monopole model). The effective potential analogous to the…

高能物理 - 唯象学 · 物理学 2007-05-23 L. V. Laperashvili , D. A. Ryzhikh

This review is devoted to the Multiple Point Principle (MPP), according to which several vacuum states with the same energy density exist in Nature. The MPP is implemented to the Standard Model (SM), Family replicated gauge group model…

高能物理 - 唯象学 · 物理学 2010-05-27 C. R. Das , L. V. Laperashvili