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Monte Carlo simulations of the 4-dimensional compact U(1) lattice gauge theory in the neighborhood of the transition point are made difficult by the suppression of tunneling between the phases, which becomes very strong as soon as the…

High Energy Physics - Lattice · Physics 2009-10-28 W. Kerler , C. Rebbi , A. Weber

A new algorithm for simulating compact U(1) lattice gauge theory in three dimensions is presented which is based on global changes in the configuration space. We show that this algorithm provides an effective way to extract partition…

High Energy Physics - Lattice · Physics 2009-11-10 F. Alet , B. Lucini , M. Vettorazzo

We investigate the phase structure of pure compact U(1) lattice gauge theory in 4 dimensions with the Wilson action supplemented by a monopole term. To overcome the suppression of transitions between the phases in the simulations we make…

High Energy Physics - Lattice · Physics 2009-10-22 Werner Kerler , Claudio Rebbi , Andreas Weber

We investigate the phase diagram of the compact $U(1)$ lattice gauge theory in four dimensions using a non-standard action which is invariant under continuous deformations of the plaquette angles. Just as for the Wilson action, we find a…

High Energy Physics - Lattice · Physics 2015-05-12 Oscar Akerlund , Philippe de Forcrand

Path Integral Monte Carlo simulations have been performed for U(1) lattice gauge theory in (2+1) dimensions on anisotropic lattices. We extractthe static quark potential, the string tension and the low-lying "glueball" spectrum.The…

High Energy Physics - Lattice · Physics 2009-11-07 Mushtaq Loan , Michael Brunner , Clare Sloggett , Chris Hamer

We present a numerical study about the confining regime of compact U(1) lattice gauge theory in 4D. To address the problem, we exploit the duality properties of the theory. The main features of this method are presented, and its possible…

High Energy Physics - Lattice · Physics 2008-11-26 Marco Panero

Pure gauge compact QED on hypercubic lattices is considered with periodically closed monopole currents suppressed. We compute observables on sublattices which are nested around the centre of the lattice in order to locate regions where…

High Energy Physics - Lattice · Physics 2016-08-31 Th. Lippert , A. Bode , V. Bornyakov , K. Schilling

We study properties of the compact $~4D~$ $U(1)$ lattice gauge theory with monopoles {\it removed}. Employing Monte Carlo simulations we calculate correlators of scalar, vector and tensor operators at zero and nonzero momenta $~\vec{p}~$.…

High Energy Physics - Lattice · Physics 2007-05-23 V. G. Bornyakov , V. K. Mitrjushkin , M. Müller-Preussker

Compact U(1) theory in 4 dimensions is used to compare the modified iterative and the Laplacian fixing to lattice Landau gauge in a controlled setting, since in the Coulomb phase the lattice theory must reproduce the perturbative…

High Energy Physics - Lattice · Physics 2009-11-07 Stephan Dürr , Philippe de Forcrand

In this paper, we examine a compact $U(1)$ lattice gauge theory in $(2+1)$ dimensions and present a strategy for studying the running coupling and extracting the non-perturbative $\Lambda$-parameter. To this end, we combine Monte Carlo…

High Energy Physics - Lattice · Physics 2024-06-13 Arianna Crippa , Simone Romiti , Lena Funcke , Karl Jansen , Stefan Kühn , Paolo Stornati , Carsten Urbach

We study U(1) gauge theory on a 4d non-commutative torus, where two directions are non-commutative. Monte Carlo simulations are performed after mapping the regularized theory onto a U(N) lattice gauge theory in d=2. At intermediate coupling…

High Energy Physics - Theory · Physics 2009-11-13 J. Nishimura , W. Bietenholz , Y. Susaki , J. Volkholz

We propose a new Monte Carlo algorithm for the numerical study of general lattice models in Hamiltonian form. The algorithm is based on an initial Ansatz for the ground state wave function depending on a set of free parameters which are…

Statistical Mechanics · Physics 2009-10-31 Matteo Beccaria

Hybrid Monte Carlo simulations of the pure compact U(1) gauge theory are performed with the Tsallis weight. The simulations show that the use of the Tsallis weight enhances the tunneling rate between metastable states.

High Energy Physics - Lattice · Physics 2007-05-23 Tetsuya Takaishi

At fine lattice spacings, Markov chain Monte Carlo simulations of QCD and other gauge theories with or without fermions are plagued by slow modes that give rise to large autocorrelation times. This can lead to simulation runs that are…

High Energy Physics - Lattice · Physics 2024-06-12 Timo Eichhorn , Gianluca Fuwa , Christian Hoelbling , Lukas Varnhorst

We study the two-point correlator of a modified Confined-Coulomb transition order parameter in four dimensional compact U(1) lattice gauge theory with Wilson action. Its long distance behavior in the confined phase turns out to be governed…

High Energy Physics - Lattice · Physics 2009-11-11 Luca Tagliacozzo

Gauge theories with matter fields in various representations play an important role in different branches of physics. Recently, it was proposed that several aspects of the interesting pseudogap phase of cuprate superconductors near optimal…

High Energy Physics - Lattice · Physics 2024-07-31 Guilherme Catumba , Atsuki Hiraguchi , Wei-Shu Hou , Karl Jansen , Ying-Jer Kao , C. -J. David Lin , Alberto Ramos , Mugdha Sarkar

The behavior of a Lattice Monte Carlo algorithm (if it is designed correctly) must approach that of the continuum system that it is designed to simulate as the time step and the mesh step tend to zero. However, we show for an algorithm for…

Statistical Mechanics · Physics 2010-08-23 Mykyta V. Chubynsky , Gary W. Slater

We describe results of a high-statistics finite size scaling analysis of 4d compact U(1) lattice gauge theory with Wilson action at the phase transition point. Using a multicanonical hybrid Monte Carlo algorithm we generate data samples…

High Energy Physics - Lattice · Physics 2009-10-31 G. Arnold , Th. Lippert , Th. Neuhaus , K. Schilling

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 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
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