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The theory of deconfined quantum critical points describes phase transitions at temperature T = 0 outside the standard paradigm, predicting continuous transformations between certain ordered states where conventional theory requires…

Strongly Correlated Electrons · Physics 2016-04-28 Hui Shao , Wenan Guo , Anders W. Sandvik

Recent numerical and theoretical studies on the two-dimensional $J$-$Q_3$ model suggests that the deconfined quantum critical point is actually a $SO(5)$-symmetry-enhanced first-order phase transition that is spontaneously broken to $O(4)$.…

Strongly Correlated Electrons · Physics 2025-12-15 Shutao Liu , Yan Liu , Chengkang Zhou , Zhe Wang , Jie Lou , Changle Liu , Zheng Yan , Yan Chen

We explore an odd class of QFTs where a hierarchy problem is resolved with new dynamics as opposed to new particles. The essential element of our construction is a $U(1)$ pseudo-NG boson with symmetry breaking interactions all characterized…

High Energy Physics - Phenomenology · Physics 2023-12-14 Anson Hook , Riccardo Rattazzi

We construct a family of integrable vertex model based on the typical four-dimensional representations of the quantum group deformation of the Lie superalgebra $sl(2|1)$. Upon alternation of such a representation with its dual this model…

Statistical Mechanics · Physics 2012-05-16 Holger Frahm , Márcio J. Martins

Decoherence in many-body quantum systems can give rise to intrinsically mixed-state phases and phase transitions beyond the pure-state paradigm. Here we study the $(2+1)$D transverse-field Ising model subject to a strongly…

Quantum Physics · Physics 2026-03-26 Yi-Ming Ding , Yuxuan Guo , Zhen Bi , Zheng Yan

We propose a bosonic quantum breakdown Hubbard model, which generalizes the Bose-Hubbard model by adding an asymmetric breakdown interaction turning one boson into two between adjacent sites. When the normal hopping is zero, this model has…

Strongly Correlated Electrons · Physics 2025-09-18 Yu-Min Hu , Biao Lian

In this paper, we study the 3D $N_{\rm f}$-flavor CP$^1$ model (a set of $N_{\rm f}$ CP$^1$ variables) coupled with a dynamical compact U(1) gauge field by means of Monte-Carlo simulations. This model is relevant to 2D $s=1/2$ quantum spin…

Strongly Correlated Electrons · Physics 2014-11-17 Shunsuke Takashima , Ikuo Ichinose , Tetsuo Matsui

Here we study two important properties of $2+1$ dimensional QCD -- confinement and pseudoscalar glueball spectrum -- with holographic approach. We consider the low energy decoupled geometry of the isotropic non-susy D$2$ brane. We find the…

High Energy Physics - Theory · Physics 2021-03-10 Adrita Chakraborty , Kuntal Nayek

A variational method is used to analyse compact U(1) gauge theory in 2+1-dimensions at finite temperature, T, weak coupling, g and where the fundamental magnetic monopoles have magnetic charge 2\pi n/g. The theory undergoes a critical…

High Energy Physics - Theory · Physics 2009-11-07 B. M. Gripaios

In axial gauge, the (2+1)-dimensional SU($N$) Yang-Mills theory is equivalent to a set of (1+1)-dimensional integrable models with a non-local coupling between charge densities. This fact makes it possible to determine the static potential…

High Energy Physics - Theory · Physics 2008-11-26 Peter Orland

We study the confinement/deconfinement transition in a strongly coupled system triggered by an independent symmetry-breaking quantum phase transition in gauge/gravity duality. The gravity dual is an Einstein-scalar-dilaton system with AdS…

High Energy Physics - Theory · Physics 2016-12-06 Mihailo Čubrović

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. V. Laperashvili , D. A. Ryzhikh

The nature of the deconfining phase transition in the 2+1-dimensional SU(N) Georgi-Glashow model is investigated. Within the dimensional-reduction hypothesis, the properties of the transition are described by a two-dimensional vectorial…

High Energy Physics - Theory · Physics 2008-11-26 Philippe Lecheminant

Inspired by the structural unification of unitary groups (quantum field theory) with orthogonal groups (relativity) proposed recently through a non-division algebra, we construct a hypercomplex field theory with an internal symmetry that…

High Energy Physics - Theory · Physics 2017-05-24 R. Cartas-Fuentevilla , A. J. C. Juárez-Domínguez

Compact U(1) lattice gauge theory in four dimensions is studied by means of an efficient algorithm which exploits the duality transformation properties of the model. We focus our attention onto the confining regime, considering the…

High Energy Physics - Lattice · Physics 2009-02-07 Marco Panero

Matter-free lattice gauge theories (LGTs) provide an ideal setting to understand confinement to deconfinement transitions at finite temperatures, which is typically due to the spontaneous breakdown (at large temperatures) of the centre…

High Energy Physics - Lattice · Physics 2023-02-20 Indrajit Sau , Arnab Sen , Debasish Banerjee

We use the intrinsic one-form and two-form global symmetries of (3+1)$d$ bosonic field theories to classify quantum phases enriched by ordinary ($0$-form) global symmetry. Different symmetry-enriched phases correspond to different ways of…

Strongly Correlated Electrons · Physics 2020-11-06 Po-Shen Hsin , Alex Turzillo

Motivated by the physics of spin-orbital liquids, we study a model of interacting Dirac fermions on a bilayer honeycomb lattice at half filling, featuring an explicit global SO(3)$\times$U(1) symmetry. Using large-scale auxiliary-field…

Strongly Correlated Electrons · Physics 2022-02-25 Zi Hong Liu , Matthias Vojta , Fakher F. Assaad , Lukas Janssen

The spin-boson model is a paradigm for studying decoherence, relaxation, entanglement and other effects that arise in a quantum system coupled to environmental degrees of freedom. At zero temperature, a localization-delocalization phase…

Quantum Physics · Physics 2015-01-22 Yao Yao , Nengji Zhou , Javier Prior , Yang Zhao

We propose a scalable analog quantum simulator for quantum electrodynamics (QED) in two spatial dimensions. The setup for the U(1) lattice gauge field theory employs inter-species spin-changing collisions in an ultra-cold atomic mixture…

Quantum Gases · Physics 2021-09-29 Robert Ott , Torsten V. Zache , Fred Jendrzejewski , Jürgen Berges