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The vacuum state of SU(3) gluodynamics at high temperature is investigated. A consistent approach including the calculation of either the spontaneously generated constant chromomagnetic isotopic $H_{3}$ and hypercharge $H_{8}$ fields or the…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. V. Skalozub , A. V. Strelchenko

Compact U(1) gauge theory in 3+1 dimensions possesses the confining phase, characterized by a linear raise of the potential between particles with opposite electric charges at sufficiently large inter-particle separation. The confinement is…

High Energy Physics - Lattice · Physics 2022-06-29 M. N. Chernodub , V. A. Goy , A. V. Molochkov , A. S. Tanashkin

We analyze the fate of the unbroken SU(2) color gauge interactions for 2 light flavors color superconductivity at non zero temperature. Using a simple model we compute the deconfining/confining critical temperature and show that is smaller…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. Sannino , N. Marchal , W. Schäfer

Finite temperature SU(2) lattice gauge theory is investigated in a 3D cubic box with fixed boundary conditions provided by a discretized, static BPS monopole solution with varying core scale $\mu$. Using heating and cooling techniques we…

High Energy Physics - Lattice · Physics 2011-09-13 E. -M. Ilgenfritz , S. V. Molodtsov , M. Müller-Preussker , A. I. Veselov

We study the thermal phase diagram of pure SU(3) 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 for…

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

The thermodynamics of the deconfined phase of the SU(N) gauge theory is studied. Careful study is made of the approach to the continuum limit. The latent heat of the deconfinement transition is studied, for the theories with 3, 4 and 6…

High Energy Physics - Lattice · Physics 2011-01-04 Saumen Datta , Sourendu Gupta

We discuss the properties of non-abelian gauge theories formulated on manifolds with compactified dimensions and in the presence of fermionic fields coupled to magnetic backgrounds. We show that different phases may emerge, corresponding to…

High Energy Physics - Lattice · Physics 2017-05-03 Massimo D'Elia , Marco Mariti

We study the response of the QCD vacuum to an external abelian chromomagnetic field in the framework of a non local Nambu-Jona Lasinio model with the Polyakov loop. We use the Lattice results on the deconfinement temperature of the pure…

High Energy Physics - Phenomenology · Physics 2009-09-29 Leonardo Campanelli , Marco Ruggieri

The dual superconductivity of the vacuum in SU(3) gauge theory is investigated by constructing a disorder parameter which signals monopole condensation in various abelian projections and by studying numerically on the lattice its behaviour…

High Energy Physics - Lattice · Physics 2009-10-31 A. Di Giacomo , B. Lucini , L. Montesi , G. Paffuti

We consider the SU(2) lattice gauge theory at finite temperature in (d+1) dimensions, with different couplings $\beta_t$ and $\beta_s$ for timelike and spacelike plaquettes. By using the character expansion of the Wilson action and…

High Energy Physics - Lattice · Physics 2009-10-28 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

We study the confining and deconfining phases of pure $\mathrm{SU}(3)$ lattice gauge theory with topological data analysis. This provides unique insights into long range correlations of field configurations across the…

High Energy Physics - Lattice · Physics 2025-07-02 Daniel Spitz , Julian M. Urban , Jan M. Pawlowski

It is generally known for $\mathrm{U}(N)$ gauge theory at finite temperature that phase transitions are manifested by taking the large-$N$ limit. Since the large-$N$ theory undergoes two thermodynamic phase transitions, a nontrivial…

High Energy Physics - Theory · Physics 2024-05-01 Hiromasa Watanabe

We have calculated the running coupling in SU(2), SU(3), and SU(4) gauge theories to see whether they have infrared fixed points. An infrared fixed point means no confinement: It means that the long-distance physics is conformal, without a…

High Energy Physics - Lattice · Physics 2013-01-10 Benjamin Svetitsky

The $SU(3)$ equation of state ($P(T),\,s(T),\,I(T)$) are calculated within the Field Correlator Method both in the confined and the deconfined phases. The basic dynamics in our approach is contained in the vacuum correlators, both of the…

High Energy Physics - Phenomenology · Physics 2017-08-02 N. O. Agasian , M. S. Lukashov , Yu. A. Simonov

Decomposition of SU(2) gauge field into the monopole and monopoleless components is studied in the Maximal Abelian gauge using Monte-Carlo simulations in lattice SU(2) gluodynamics as well as in two-color QCD with both zero and nonzero…

High Energy Physics - Lattice · Physics 2022-02-16 V. Bornyakov , I. Kudrov , R. Rogalyov

We study the deconfining transition of SU(N) gauge theories in 2+1 dimensions for N ranging between N=2 and N=8. We confirm that the transition is second order for N<4 and first order for N>4. For the more delicate case of SU(4) all our…

High Energy Physics - Lattice · Physics 2008-03-17 Jack Liddle , Michael Teper

SU(2) Yang-Mills theory at finite extension or, equivalently, at finite temperature is probed by a homogeneous chromomagnetic field. We use a recent modified axial gauge formulation which has the novel feature of respecting the center…

High Energy Physics - Phenomenology · Physics 2009-10-30 V. L. Eletsky , A. C. Kalloniatis , F. Lenz , M. Thies

We study the behavior of the order parameter, the phase diagram, and the thermodynamics of exotic phases of finite temperature gauge theory. Lattice simulations were performed in SU(3) and SU(4) with an adjoint Polyakov loop term added to…

High Energy Physics - Lattice · Physics 2008-11-26 Joyce C. Myers , Michael C. Ogilvie

We present a study of the free energy of parameterized Polyakov loops P in SU(2) and SU(3) lattice gauge theory as a function of the parameters that characterize P. We explore temperatures below and above the deconfinement transition, and…

High Energy Physics - Lattice · Physics 2015-06-05 Dmitri Diakonov , Christof Gattringer , Hans-Peter Schadler

We report on progress in full quantum understanding of thermalization in non-Abelian gauge theories. Specifically, we test the eigenstate thermalization hypothesis for (2+1)-dimensional SU(2) lattice gauge theory.

High Energy Physics - Lattice · Physics 2023-12-22 Xiaojun Yao , Lukas Ebner , Berndt Müller , Andreas Schäfer , Clemens Seidl