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Lattice Yang-Mills theories at finite temperature can be mapped onto effective 3d spin systems, thus facilitating their numerical investigation. Using strong-coupling expansions we derive effective actions for Polyakov loops in the $SU(2)$…

High Energy Physics - Lattice · Physics 2011-03-31 Jens Langelage , Stefano Lottini , Owe Philipsen

At high temperature, every $(d+1)$-dimensional theory can be reformulated as an effective theory in $d$ dimensions. We test the numerical accuracy of this Dimensional Reduction for (3+1)-dimensional SU(2) by comparing perturbatively…

High Energy Physics - Lattice · Physics 2015-06-25 Slavo Kratochvila , Philippe de Forcrand

We present a systematic study of baryonic flux tubes in SU(3) Yang-Mills theory in (2+1) dimensions. A recent next-to-leading-order derivation within the Effective String Theory framework has, for the first time, made explicit the…

High Energy Physics - Lattice · Physics 2025-11-04 Michele Caselle , Nicodemo Magnoli , Dario Panfalone , Lorenzo Verzichelli

By making use of the Abelian projection method, a dual version of the SU(2)-gluodynamics with manifest monopole-like excitations, arising from the integration over singular gauge transformations, is formulated in the continuum limit. The…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri Antonov , Dietmar Ebert

We compare SU(2) Polyakov loop models with different effective actions with data from full two-color QCD simulations around and above the critical temperature. We then apply the effective theories at finite temperature and density to…

High Energy Physics - Lattice · Physics 2014-12-23 Philipp Scior , David Scheffler , Dominik Smith , Lorenz von Smekal

In this paper we discuss the QCD contribution to the Abelian Debye and magnetic screening masses in a deconfined QCD plasma at finite temperature in the presence of an external magnetic field B. We use a holographic AdS/QCD setup in an AdS…

High Energy Physics - Phenomenology · Physics 2011-03-22 A. Gorsky , P. N. Kopnin , A. Krikun

A single magnetic monopole in pure SU(2) gauge theory is simulated on the lattice and its mass is computed in the full quantum theory. The results are relevant for our proposed realization of the dual superconductor hypothesis of…

High Energy Physics - Lattice · Physics 2009-10-22 J. Smit , A. J. van der Sijs

Computations of screening masses in finite-temperature QCD at finite density are plagued by the sign problem and have been performed so far with an imaginary chemical potential. Here, we use a dual formulation of a Polyakov-loop model which…

High Energy Physics - Lattice · Physics 2023-09-13 O. Borisenko , V. Chelnokov , E. Mendicelli , A. Papa

The U(1) lattice gauge theory in three dimensions is a perfect laboratory to study the properties of the confining string. On the one hand, thanks to the mapping to a Coulomb gas of monopoles, the confining properties of the model can be…

High Energy Physics - Lattice · Physics 2015-05-12 Davide Vadacchino , Michele Caselle , Marco Panero , Roberto Pellegrini

A non-perturbative mass of $0.2719 g^2 T$ is generated for the magnetic sector of the $SU(2)$ gauge theory at high temperature due to the condensation of Polyakov \cite{Pol} monopole and antimonopole which form a magnetic glue ball. String…

High Energy Physics - Lattice · Physics 2009-10-28 Satchidananda Naik

The universality of the continuum limit and the applicability of renormalized perturbation theory are tested in the SU(2) lattice gauge theory by computing two different non-perturbatively defined running couplings over a large range of…

High Energy Physics - Lattice · Physics 2009-10-22 G. de Divitiis , R. Frezzotti , M. Guagnelli , M. Luescher , R. Petronzio , R. Sommer , P. Weisz , U. Wolff

The effective action of the SU(N) Polyakov loop model in the strong coupling region and in the static limit for the quark determinant can be mapped onto the Ising model in any dimensions, with the Ising variables attached on the links of…

High Energy Physics - Lattice · Physics 2023-09-20 B. Allés , O. Borisenko , A. Papa , S. Voloshyn

We study the continuum version of the two-gap BCS model in (3+1)D within the large-N approximation. We calculate the effective potential of the model which depends on two independent energy gaps $\sigma$ and $\Delta$, where $\sigma$…

Superconductivity · Physics 2023-02-14 Leandro O. Nascimento

We compute the one-loop effective potential for the Polyakov loop on $S^3 times S^1$ for an asymptotically free gauge theory of arbitrary group $G$ and a generic matter content. We apply this result to study the phase structures of $G_2$,…

High Energy Physics - Theory · Physics 2008-11-26 Carlos Hoyos , Biagio Lucini , Asad Naqvi

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

We calculate the complete one-loop effective potential for SU(2) gauge bosons at temperature T as a function of two variables: phi, the angle associated with a non-trivial Polyakov loop, and H, a constant background chromomagnetic field.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Peter N. Meisinger , Michael C. Ogilvie

Building upon our earlier work, we compute a Debye mass of finite-temperature Yang-Mills theory to three-loop order. As an application, we determine a $g^7$ contribution to the thermodynamic pressure of hot QCD.

High Energy Physics - Phenomenology · Physics 2016-01-20 Ioan Ghisoiu , Jan Moller , York Schroder

We present a non-perturbative formalism for measuring defect free energies (monopole mass or vortex tension) in three-dimensional SU(2)+adjoint Higgs models. Starting from twisted, translation invariant boundary conditions, we perform a…

High Energy Physics - Lattice · Physics 2009-10-31 A. C. Davis , T. W. B. Kibble , A. Rajantie , H. Shanahan

We describe the "relative weights" method used to compute the effective Polyakov line action corresponding to a given lattice gauge theory, and present some results that have been obtained so far. The main motivation is the sign problem,…

High Energy Physics - Lattice · Physics 2013-12-03 Jeff Greensite , Kurt Langfeld

The susceptibilities of the real and imaginary parts, as well as of the modulus of the Polyakov loop, are computed in SU(3) lattice gauge theory. We show that the ratios of these susceptibilities are excellent probes of the deconfinement…

High Energy Physics - Lattice · Physics 2013-07-24 Pok Man Lo , Bengt Friman , Olaf Kaczmarek , Krzysztof Redlich , Chihiro Sasaki
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