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We study pure SU(N) lattice gauge theory with a plaquette weight factor given by an inverse determinant which can be written as an integral over auxiliary bosonic fields (modifying a proposal of Budczies and Zirnbauer). We derive conditions…

High Energy Physics - Lattice · Physics 2015-11-30 Bastian B. Brandt , Robert Lohmayer , Tilo Wettig

We report on numerical simulations of SU(2) lattice gauge theory with two flavors of light dynamical quarks in the adjoint of the gauge group. The dynamics of this theory is thought to be very different from QCD -- the theory exhibiting…

High Energy Physics - Lattice · Physics 2010-02-03 Simon Catterall , Joel Giedt , Francesco Sannino , Joe Schneible

A generalization of Wilsonian lattice gauge theory may be obtained by considering the possible self-adjoint extensions of the electric field operator in the Hamiltonian formalism. In the special case of 3D $\mathrm{U}(1)$ gauge theory these…

High Energy Physics - Lattice · Physics 2022-11-28 A. Banerjee , D. Banerjee , G. Kanwar , A. Mariani , T. Rindlisbacher , U. J. Wiese

Path integral contour deformations have been shown to mitigate sign and signal-to-noise problems associated with phase fluctuations in lattice field theories. We define a family of contour deformations applicable to $SU(N)$ lattice gauge…

High Energy Physics - Lattice · Physics 2021-06-02 William Detmold , Gurtej Kanwar , Henry Lamm , Michael L. Wagman , Neill C. Warrington

We study the effects of gauge-symmetry breaking (GSB) perturbations in three-dimensional lattice gauge theories with scalar fields. We study this issue at transitions in which gauge correlations are not critical and the gauge symmetry only…

High Energy Physics - Lattice · Physics 2021-08-04 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We consider gauge theories of non-Abelian $finite$ groups, and discuss the 1+1 dimensional lattice gauge theory of the permutation group $S_N$ as an illustrative example. The partition function at finite $N$ can be written explicitly in a…

High Energy Physics - Theory · Physics 2021-07-07 Nirmalya Brahma , Chethan Krishnan

Linear lattice gauge theory is based on link variables that are arbitrary complex or real $N\times N$ matrices, in distinction to the usual (non-linear) formulation with unitary or orthogonal matrices. For a large region in parameter space…

High Energy Physics - Lattice · Physics 2015-06-16 C. Wetterich

We investigate the phase diagram and critical behavior of three-dimensional multicomponent Abelian-Higgs models, in which an N-component complex field z_x^a of unit length and charge is coupled to compact quantum electrodynamics in the…

Statistical Mechanics · Physics 2019-10-30 Andrea Pelissetto , Ettore Vicari

SU(2) gauge theory is investigated with a lattice action which is insensitive to small perturbations of the lattice gauge fields. Bare perturbation theory can not be defined for such actions at all. We compare non-perturbative continuum…

High Energy Physics - Lattice · Physics 2018-08-29 Daniel Nogradi , Lorinc Szikszai , Zoltan Varga

We study the phases and phase transition lines of the finite temperature G(2) Higgs model. Our work is based on an efficient local hybrid Monte-Carlo algorithm which allows for accurate measurements of expectation values, histograms and…

High Energy Physics - Lattice · Physics 2011-06-08 Björn H. Wellegehausen , Andreas Wipf , Christian Wozar

We investigate the confinement-Coulomb phase transition in the four-dimensional (4D) pure compact U(1) gauge theory on spherical lattices. The action contains the Wilson coupling beta and the double charge coupling gamma. The lattice is…

High Energy Physics - Lattice · Physics 2009-10-28 J. Jersak , C. B. Lang , T. Neuhaus

The behavior of the adjoint Wilson line in finite-temperature, $SU(2)$, lattice gauge theory is discussed. The expectation value of the line and the associated excess free energy reveal the response of the finite-temperature gauge field to…

High Energy Physics - Lattice · Physics 2009-10-22 J. Kiskis , P. Vranas

We describe a new method to determine non-perturbatively the beta function of a gauge theory using lattice simulations in the p-regime of the theory. This complements alternative measurements of the beta function working directly at zero…

High Energy Physics - Lattice · Physics 2018-04-18 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chik Him Wong

The SU(3) gauge theory with fermions in the sextet representation is one of several theories of interest for technicolor models. We have carried out a Schrodinger functional (SF) calculation for the lattice theory with two flavors of Wilson…

High Energy Physics - Lattice · Physics 2010-01-15 Benjamin Svetitsky , Yigal Shamir , Thomas DeGrand

We discuss a phase diagram for a relativistic SU(2) x U_{S}(1) lattice gauge theory, with emphasis on the formation of a parity-invariant chiral condensate, in the case when the $U_{S}(1)$ field is infinitely coupled, and the SU(2) field is…

High Energy Physics - Lattice · Physics 2016-08-25 K. Farakos , N. E. Mavromatos , D. McNeill

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

Further evidence is presented for the existence of a non-confining phase at weak coupling in SU(2) lattice gauge theory. Using Monte Carlo simulations with the standard Wilson action, gauge-invariant SO(3)-Z2 monopoles, which are…

High Energy Physics - Lattice · Physics 2015-06-16 Michael Grady

We study the thermal phase diagram of pure SU(3) lattice gauge theory with fundamental and adjoint couplings. We improve previous estimates of the position of the bulk transition line and determine the thermal deconfinement transition lines…

High Energy Physics - Lattice · Physics 2008-11-26 T. Blum , C. DeTar , Urs M. Heller , Leo Karkkainen , K. Rummukainen , D. Toussaint

It is known that the normal three-dimensional (3D) Ising model on a cubic lattice is dual to the Wegner's 3D $Z_2$ lattice gauge theory. Here we find an unusual $Z_2$ lattice gauge theory which is dual to the 3D Ising model with not only…

High Energy Physics - Lattice · Physics 2018-12-10 Changnan Peng

We study the SU(3) lattice gauge theory, with two flavors of sextet Wilson-clover fermions, near its finite-temperature phase transition. We find metastable states that have Wilson line expectation values whose complex phases are near 2pi/3…

High Energy Physics - Lattice · Physics 2010-01-27 Olga Machtey , Benjamin Svetitsky