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This is the short review of Monte-Carlo studies of quark confinement in lattice QCD. After abelian projections both in the maximally abelian and Polyakov gauges, it is seen that the monopole part alone is responsible for confinement. A…

High Energy Physics - Lattice · Physics 2016-11-03 Tsuneo Suzuki

We study the squared width and the profile of flux tubes in compact U(1) lattice gauge theory in three spacetime dimensions. The results obtained from numerical calculations in the dual formulation of this confining theory are compared with…

High Energy Physics - Lattice · Physics 2016-03-07 Michele Caselle , Marco Panero , Davide Vadacchino

In this paper we present a model of confinement based on an analogy with the confinement mechanism of the Schwarzschild solution of general relativity. Using recently discovered exact, Schwarzschild-like solutions of the SU(2)…

High Energy Physics - Theory · Physics 2015-06-26 Douglas Singleton , Atsushi Yoshida

In this talk, first, we show that the color $N$-dependent area law falloffs of the double-winding Wilson loop averages for the $SU(N)$ lattice gauge model are reproduced from the $Z_N$ lattice Abelian gauge model due to the center group…

High Energy Physics - Lattice · Physics 2021-12-10 Ryu Ikeda , Kei-Ichi Kondo

We calculate in the SU(6) gauge theory the mass of the lightest flux loop that winds around a spatial torus, as a function of the torus size, taking care to achieve control of the main systematic errors. For comparison we perform a similar…

High Energy Physics - Lattice · Physics 2008-11-26 Harvey Meyer , Michael Teper

We present a method for finding lines of constant physics in the confinement phase of the SU(2) Higgs model on the lattice. The model is considered at finite values of the cut-off where it behaves like an effective field theory with three…

High Energy Physics - Lattice · Physics 2009-10-31 F. Knechtli

A model for the infrared sector of SU(2) Yang-Mills theory, based on magnetic vortex degrees of freedom represented by (closed) random world-surfaces, is presented. The model quantitatively describes both the confinement properties…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Engelhardt

The Villain form of SO(3) lattice gauge theory is studied and compared to Wilson's SU(2) theory. The topological invariants in SO(3) which correspond to twisted boundary conditions in SU(2) are discussed and lattice observables are…

High Energy Physics - Lattice · Physics 2010-04-05 Philippe de Forcrand , Oliver Jahn

We show that the color $N$ dependent area law falloffs of the double-winding Wilson loop averages for the $SU(N)$ lattice gauge theory obtained in the preceding works are reproduced from the corresponding lattice Abelian gauge theory with…

High Energy Physics - Lattice · Physics 2021-11-09 Ryu Ikeda , Kei-Ichi Kondo

Vortex solutions are studied in an SO(3) gauge theory spontaneously broken to SO(2). These vortices have a Z(2) magnetic charge. A dilute gas of Z(2) vortices is studied taking into account vortex-vortex interactions. By going to a dual…

High Energy Physics - Lattice · Physics 2009-11-07 Srinath Cheluvaraja

While pure Yang-Mills theory feature the centre symmetry, this symmetry is explicitly broken by the presence of dynamical matter. We study the impact of the centre symmetry in such QCD-like theories. In the analytically solvable Schwinger…

High Energy Physics - Lattice · Physics 2012-02-07 Kurt Langfeld , Andreas Wipf

We present a numerical study of the spectrum of an asymptotically non-free $SU(2)$ gauge theory with $N_f=24$ massive fermion flavors. For such large number of flavors, asymptotic freedom is lost and the massless theory is governed by a…

High Energy Physics - Lattice · Physics 2022-09-02 Jarno Rantaharju , Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami , Kimmo Tuominen

We present a model of center vortices, represented by closed random lines in continuous 2+1- dimensional space- time. These random lines are modeled as being piece-wise linear and an ensemble is generated by Monte Carlo methods. The…

High Energy Physics - Lattice · Physics 2014-11-27 Roman Höllwieser , Derar Altarawneh , Michael Engelhardt

There exists a class of gauge models incorporating a finite density of matter in which the Higgs mechanism is provided by condensates of gauge (or gauge and scalar) fields, i.e., there are vector condensates in this case. We describe vortex…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. V. Gorbar , Junji Jia , V. A. Miransky

We examine the dynamics of quarks and gauge fields in the lowest energy states in the QED and QCD interactions by combining Schwinger's longitudinal confinement in (1+1)D with Polyakov's transverse confinement in (2+1)D in a ``stretch…

High Energy Physics - Phenomenology · Physics 2023-12-06 Cheuk-Yin Wong , Andrew V. Koshelkin

We construct a model of quark and lepton compositeness based on an $SU(15)$ gauge interaction that confines chiral preons, which are also charged under the weakly-coupled $SU(4)_{\rm PS} \times SU(2)_L\times SU(2)_R$ gauge group. The…

High Energy Physics - Phenomenology · Physics 2025-10-08 Benoît Assi , Bogdan Dobrescu

We consider N=1 supersymmetric gauge theories based on the group SU(N)_1 x SU(N)_2 x ... x SU(N)_k with matter content (N,N*,1,...,1) + (1,N,N*,..., 1) + >... + (N*,1,1,...,N) as candidates for the unification symmetry of all particles. In…

High Energy Physics - Phenomenology · Physics 2015-05-14 S. Heinemeyer , E. Ma , M. Mondragon , G. Zoupanos

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

The deconfinement transition in SU(4) lattice gauge theory is studied on N_s^3 X N_t lattices with N_s = 8-16 and N_t = 4-8 using a modified Wilson action which is expected to have no bulk transitions. The peak of susceptibility \chi_{|L|}…

High Energy Physics - Lattice · Physics 2007-05-23 Rajiv V. Gavai

We investigate the singlet, triplet and colour average heavy quark free energies in SU(2) pure gauge theory at various temperatures T. We focus on the long distance behaviour of the free energies, studying in particular the temperature…

High Energy Physics - Lattice · Physics 2007-05-23 S. Digal , S. Fortunato , P. Petreczky
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