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We present an algorithm for Monte Carlo simulations which is able to overcome the suppression of transitions between the phases in compact U(1) lattice gauge theory in 4 dimensions.

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

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 present a detailed study of the properties of the phase transition in the four-dimensional compact U(1) lattice gauge theory supplemented by a monopole term, for values of the monopole coupling $\lambda$ such that the transition is of…

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

We investigate four-dimensional compact U(1) lattice gauge theory with a monopole term added to the Wilson action. First we consider the phase structure at negative $\beta$, revealing some properties of a third phase region there, in…

High Energy Physics - Lattice · Physics 2016-08-25 G. Damm , W. Kerler

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 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 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

We investigate critical properties of the phase transition in the four-dimensional compact U(1) lattice gauge theory supplemented by a monopole term for values of the monopole coupling $\lambda$ such that the transition is of second order.…

High Energy Physics - Lattice · Physics 2009-10-30 G. Damm , W. Kerler

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 show that the phases of the 4-dimensional compact U(1) lattice gauge theory are unambiguously characterized by the topological properties of minimal Dirac sheets as well as of monopole currents lines. We obtain the minimal sheets by a…

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

An extensive study of the compact $U(1)$ lattice gauge theory with a higher derivative gauge-fixing term and a suitable counter-term has been undertaken to determine the nature of the possible continuum limits for a wide range of the…

High Energy Physics - Lattice · Physics 2017-11-22 Asit K. De , Mugdha Sarkar

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

Our study of the energy distribution has shown that the strength of the first order transition in the four-dimensional compact U(1) lattice gauge theory decreases when the coupling $\lambda$ of the monopole term increases. The disappearance…

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

The phase diagram of five-dimensional SU(2) gauge theories is explored using Monte Carlo simulations of the theory discretized on a Euclidean lattice using the Wilson plaquette action and periodic boundary conditions. We simulate…

High Energy Physics - Lattice · Physics 2015-05-30 Francesco Knechtli , Magdalena Luz , Antonio Rago

Lattice gauge theories are a fascinating and rich class of theories relating to the most fundamental models of particle physics, and as experimental control on the quantum level increases there is a growing interest in non-equilibrium…

Quantum Physics · Physics 2021-06-03 Simon Panyella Pedersen , Nikolaj Thomas Zinner

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

The site-reduction of U(1) lattice gauge theory along the spatial directions is used to model the monopole dynamics. The reduced theory is that of the angle-valued coordinates on the discrete worldline. Below the critical coupling…

High Energy Physics - Theory · Physics 2021-07-27 Amir H. Fatollahi

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

In the present paper the phase transition in the regularized U(1) gauge theory is investigated using the dual Abelian Higgs model of scalar monopoles. The corresponding renormalization group improved effective potential, analogous to the…

High Energy Physics - Theory · Physics 2010-05-27 L. V. Laperashvili , H. B. Nielsen , D. A. Ryzhikh
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