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Yang-Mills gauge field with gauge group SU(2) decomposes into a single charge neutral complex vector, and two spinless charged scalar fields. At high energies these constituents are tightly confined into each other by a compact U(1)…

High Energy Physics - Phenomenology · Physics 2009-11-11 Antti J. Niemi

The dual superconductivity is a promising mechanism for quark confinement. We have presented a new formulation of the Yang-Mills theory on the lattice that enables us to change the original non-Abelian gauge field into the new field…

High Energy Physics - Lattice · Physics 2017-01-16 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We study the shape of the flux tube in lattice Yang-Mills theories and in particular its intrinsic width. In the framework of the Effective String Theory description of the confining flux tube this intrinsic width has no measurable effects…

High Energy Physics - Lattice · Physics 2025-01-06 Michele Caselle , Elia Cellini , Alessandro Nada , Dario Panfalone , Lorenzo Verzichelli

We compute the Euclidean correlators of the stress tensor in pure $SU(3)$ Yang-Mills theory at finite temperature at zero and finite spatial momenta with lattice simulations. We perform continuum extrapolations using $N_\tau=10,12,16,20$…

The lattice data for the energy density of $SU(2)$ gauge theory are calculated with \nop~derivatives of the coupling constants. These derivatives are obtained from two sources : i) a parametrization of the \nop~beta function in accord with…

High Energy Physics - Lattice · Physics 2009-10-22 J. Engels , F. Karsch , K. Redlich

We study analytically the phase diagram of the pure $SU(N)$ lattice gauge theory at finite temperature, and we attempt to estimate the critical deconfinement temperature. We apply large $N$ techniques to the Wilson and to the Heat Kernel…

High Energy Physics - Lattice · Physics 2009-10-22 M. Billo' , M. Caselle , A. D'Adda , L. Magnea , S. Panzeri

The success of the screened massive expansion is investigated in the framework of a screened momentum-subtraction scheme for the running of the strong coupling in pure Yang-Mills theory. By the exact Slavnov-Taylor and Nielsen identities, a…

High Energy Physics - Phenomenology · Physics 2019-10-16 Fabio Siringo

We consider N=(1,1) super Yang-Mills theory in 1+1 dimensions with fundamentals at large-N_c. A Chern-Simons term is included to give mass to the adjoint partons. Using the spectrum of the theory, we calculate thermodynamic properties of…

High Energy Physics - Theory · Physics 2008-11-26 John R. Hiller , Stephen Pinsky , Yiannis Proestos , Nathan Salwen , Uwe Trittmann

Phase and modulus of an energy- and pressure-free, composite and adjoint field in an SU(2) Yang-Mills theory are computed. This field is generated by trivial holonomy calorons of topological charge one. It possesses nontrivial $S_1$-winding…

High Energy Physics - Theory · Physics 2007-05-23 Ulrich Herbst

It is well known that the topology of gauge configurations generated in a Markov Monte-Carlo chain freezes as the continuum limit is approached. The corresponding autocorrelation time increases exponentially with the inverse lattice…

High Energy Physics - Lattice · Physics 2015-12-03 Alessandro Amato , Gunnar Bali , Biagio Lucini

We introduce a novel observable associated to Abelian monopole currents defined in the Maximal Abelian Projection of SU(3) Yang-Mills theory that captures the topology of the current loop. This observable, referred to as the…

High Energy Physics - Lattice · Physics 2026-02-11 Xavier Crean , Jeffrey Giansiracusa , Biagio Lucini

We compare different Polyakov loop actions yielding effective descriptions of finite-temperature SU(2) Yang-Mills theory on the lattice. The actions are motivated by a simultaneous strong-coupling and character expansion obeying center…

High Energy Physics - Lattice · Physics 2009-11-11 Thomas Heinzl , Tobias Kaestner , Andreas Wipf

The center vortex model for the infrared sector of Yang-Mills theory, previously studied for the SU(2) gauge group, is extended to SU(3). This model is based on the assumption that vortex world-surfaces can be viewed as random surfaces in…

High Energy Physics - Lattice · Physics 2009-11-10 M. Engelhardt , M. Quandt , H. Reinhardt

We analyze the branching of center vortices in $SU(3)$ Yang-Mills theory in maximal center gauge. When properly normalized, we can define a branching probability that turns out to be independent of the lattice spacing (in the limited…

High Energy Physics - Theory · Physics 2018-11-26 Felix Spengler , Markus Quandt , Hugo Reinhardt

We demonstrate, with a concrete example, how the combinatorial approach to a general system of particles, which was introduced in detail in the earlier paper arXiv:1205.4986, works and where it enters to provide a genuine extension of…

General Physics · Physics 2014-04-08 Agata Fronczak

We develop a discrete lattice implementation of the hard thermal loop effective action by the method of added auxiliary fields. We use the resulting model to measure the sphaleron rate (topological susceptibility) of Yang-Mills theory at…

High Energy Physics - Phenomenology · Physics 2011-05-05 D. Bodeker , Guy D. Moore , K. Rummukainen

We investigate the finite-temperature excitation spectrum in the gluon sector of $SU(3)$ pure gauge theory through measurements of screening masses in correlations of loop operators. We develop the classification of such operators under the…

High Energy Physics - Lattice · Physics 2009-10-22 B. Grossman , Sourendu Gupta , U. M. Heller , F. Karsch

We describe a weak coupling realization of the deconfinement transition in gauge theory compactified on $R^3\times S^1$. We consider Yang-Mills theory with a single Weyl fermion of mass $m$ in the adjoint representation of the gauge group.…

High Energy Physics - Lattice · Physics 2013-10-31 Thomas Schaefer

We solve Schr\"odinger's equation for the ground-state of {\it four}-dimensional Yang-Mills theory as an expansion in inverse powers of the coupling. Expectation values computed with the leading order approximation are reduced to a…

High Energy Physics - Theory · Physics 2008-11-26 Paul Mansfield

By fixing lattice Yang-Mills configurations to the maximal center gauge and subsequently applying the technique of center projection, one can identify center vortices in these configurations. Recently, center vortices have been shown to…

High Energy Physics - Lattice · Physics 2008-11-26 M. Engelhardt , K. Langfeld , H. Reinhardt , O. Tennert