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In this paper, we study a 3D compact U(1) lattice gauge theory with a variety of nonlocal interactions that simulates the effects of gapless/gapful matter fields. This theory is quite important to investigate the phase structures of QED$_3$…

Strongly Correlated Electrons · Physics 2010-04-05 Gaku Arakawa , Ikuo Ichinose , Tetsuo Matsui , Kazuhiko Sakakibara , Shunsuke Takashima

We introduce a 3D compact U(1) lattice gauge theory having nonlocal interactions in the temporal direction, and study its phase structure. The model is relevant for the compact QED$_3$ and strongly correlated electron systems like the t-J…

High Energy Physics - Theory · Physics 2016-09-06 Gaku Arakawa , Ikuo Ichinose , Tetsuo Matsui , Kazuhiko Sakakibara

We consider large N zero-coupling d-dimensional U(N) gauge theories, with N_f matter fields in the fundamental representation on a compact spatial manifold S^{d-1} x time, with N_f/N finite. The Gauss' law constraint induces interactions…

High Energy Physics - Theory · Physics 2014-11-18 Howard J. Schnitzer

We propose a mechanism by which electric charges deconfine in an Abelian Higgs model with matter fields belonging to the fundamental representation of the gauge group. Kosterlitz-Thouless like recursion relations for a scale-dependent…

High Energy Physics - Theory · Physics 2007-05-23 Flavio S. Nogueira , Asle Sudbo

Compact U(1) gauge theory in 3+1 dimensions possesses the confining phase, characterized by a linear raise of the potential between particles with opposite electric charges at sufficiently large inter-particle separation. The confinement is…

High Energy Physics - Lattice · Physics 2022-06-29 M. N. Chernodub , V. A. Goy , A. V. Molochkov , A. S. Tanashkin

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

Confinement is an ubiquitous phenomenon when matter couples to gauge fields, which manifests itself in a linear string potential between two static charges. Although gauge fields can be integrated out in one dimension, they can mediate…

We show that if actions more general than the usual simple plaquette action ($\sim F_{\mu\nu}^2$) are considered, then compact $U(1)$ {\sl pure} gauge theory in three Euclidean dimensions can have two phases. Both phases are confining…

High Energy Physics - Theory · Physics 2009-10-28 Tim R. Morris

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

We have verified various proposals that were suggested in our last paper concerning the continuum limit of a compact formulation of the lattice U(1) pure gauge theory in 4 dimensions using a nonperturbative gauge-fixed regularization. Our…

High Energy Physics - Lattice · Physics 2007-05-23 Asit K. De , Tilak Sinha

We point out that the permanent confinement in a compact 2+1-dimensional U(1) Abelian Higgs model is destroyed by matter fields in the fundamental representation. The deconfinement transition is Kosterlitz-Thouless like. The dual theory is…

High Energy Physics - Theory · Physics 2010-04-05 Hagen Kleinert , Flavio S. Nogueira , Asle Sudbo

We investigate the continuum limit of a compact formulation of the lattice U(1) gauge theory in 4 dimensions using a nonperturbative gauge-fixed regularization. We find clear evidence of a continuous phase transition in the pure gauge…

High Energy Physics - Lattice · Physics 2015-06-25 Subhasish Basak , Asit K De , Tilak Sinha

U(1), SU(2), and SU(3) lattice gauge theories in presence of external fields are investigated both in (3+1) and (2+1) dimensions. The free energy of gauge systems has been measured. While the phase transition in compact U(1) is not…

High Energy Physics - Lattice · Physics 2009-11-10 P. Cea , L. Cosmai

We consider three dimensional quantum electrodynamics (cQED3) with massless relativistic fermions coupled to a compact gauge field using a combined perturbative variational approach. Coupling to matter renders the bare interaction between…

Strongly Correlated Electrons · Physics 2011-08-08 Matthew J. Case , Babak H. Seradjeh , Igor F. Herbut

We show that the four-dimensional U(1) gauge theory in the continuum formulation has a confining phase (exhibiting area law of the Wilson loop) in the strong coupling region above a critical coupling $g_c$. This result is obtained by taking…

High Energy Physics - Theory · Physics 2009-10-31 Kei-Ichi Kondo

We investigate the vacuum dynamics of U(1), SU(2), and SU(3) lattice gauge theories in presence of external (chromo)magnetic fields, both in (3+1) and (2+1) dimensions. We find that the critical coupling for the phase transition in compact…

High Energy Physics - Lattice · Physics 2009-11-11 Paolo Cea , Leonardo Cosmai

We argue that the compact three dimensional electrodynamics with massless fermions is always confining, in spite of the bare interaction between the magnetic monopoles being rendered logarithmic by fermions. The effect is caused by…

Strongly Correlated Electrons · Physics 2012-03-05 Igor F. Herbut , Babak H. Seradjeh

In this letter we consider models with N U(1) gauge fields together with N Kalb-Ramond fields in the large N limit. These models can be solved explicitely and exhibit confinement for a large class of bare actions. The confining phase is…

High Energy Physics - Theory · Physics 2009-11-07 U. Ellwanger , N. Wschebor

Pure {\it compact} $U(1)$ lattice gauge theory exhibits a phase transition at gauge coupling $g \sim {\cal{O}}(1)$ separating a familiar weak coupling Coulomb phase, having free massless photons, from a strong coupling phase. However, the…

High Energy Physics - Lattice · Physics 2016-06-15 Asit K. De , Mugdha Sarkar

Four dimensional gauge theories in anti-de Sitter space, including pure Yang-Mills theory, exhibit a quantum phase transition between a deconfined phase and a confined phase as the gauge coupling is varied. We explore various mechanisms by…

High Energy Physics - Theory · Physics 2015-06-11 Ofer Aharony , Micha Berkooz , David Tong , Shimon Yankielowicz
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