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The phase structure of the two-flavor Polyakov-loop extended Nambu-Jona-Lashinio model is explored at finite temperature and imaginary chemical potential with a particular emphasis on the confinement-deconfinement transition. We point out…

High Energy Physics - Phenomenology · Physics 2015-05-28 Kenji Morita , Vladimir Skokov , Bengt Friman , Krzysztof Redlich

The heat kernel expansion for field theory at finite temperature is constructed. It is based on the imaginary time formalism and applies to generic Klein-Gordon operators in flat space-time. Full gauge invariance is manifest at each order…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Megias , E. Ruiz Arriola , L. L. Salcedo

Understanding the character of the deconfinement phase transition is one of the fundamental challenges in particle physics. In this work, we derive a formula for the expectation value of the Polyakov loop -- the order parameter of the…

High Energy Physics - Phenomenology · Physics 2025-06-17 Bing-Kai Sheng , Yong-Liang Ma

We study Quantum Chromodynamics (QCD) with 2+1 flavors with almost physical quark masses using the highly improved staggered quark action (HISQ). We calculate the Polyakov loop in a wide temperature range, obtain the free energy and the…

High Energy Physics - Lattice · Physics 2016-10-28 Johannes Heinrich Weber

We show that recent available lattice data for the renormalized Polyakov loop above the deconfinement phase transition exhibit unequivocal inverse power temperature corrections driven by a dimension 2 gluon condensate. This simple ansatz…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We show that the problem of computing the vacuum expectation values of gauge invariant operators in the strong coupling limit of topologically massive gauge theory is equivalent to the problem of computing similar operators in the $G_k/G$…

High Energy Physics - Theory · Physics 2009-10-30 G. Grignani , G. Semenoff , P. Sodano , O. Tirkkonen

The effective potential obtained by loop expansion is usually not real in the range of field values explored by its minima during a phase transition. We apply the optimized perturbation theory in a fixed gauge to singlet scalar extensions…

High Energy Physics - Phenomenology · Physics 2023-05-04 Károly Seller , Zsolt Szép , Zoltán Trócsanyi

We consider a quantum scalar field on an arbitrary gravitational background. We obtain the effective {\it in-in} equations for the gravitational fields using a covariant and non-local approximation for the effective action proposed by…

General Relativity and Quantum Cosmology · Physics 2009-10-22 D. A. R. Dalvit , F. D. Mazzitelli

The Polyakov loop and the chiral condensate are used as order parameters to explore analytically the possible phase structure of finite temperature QCD. Nambu-Jona-Lasinio models in a background temporal gauge field are combined with a…

High Energy Physics - Lattice · Physics 2009-10-28 Peter N. Meisinger , Michael C. Ogilvie

We discuss an effective Polyakov loop model for QCD thermodynamics with a chemical potential. Using high temperature expansion techniques the partition sum is mapped exactly onto the partition sum of a flux model. In the flux representation…

High Energy Physics - Lattice · Physics 2011-06-13 Christof Gattringer

We show that the effective potentials for the Polyakov loops in finite temperature SU$(N)$ gauge theories obey a certain scaling relation with respect to temperature in the large-$N$ limit. This scaling relation strongly constrains the…

High Energy Physics - Theory · Physics 2025-10-22 Takehiro Azuma , Takeshi Morita

We study the current dynamics of coupled atomic condensates flowing in two ring-shaped optical potentials. We provide a specific setup where the ring-ring coupling can be tuned in experimentally feasible way. It is demonstrated that the…

Quantum Physics · Physics 2014-01-22 Davit Aghamalyan , Luigi Amico , L. C Kwek

Since being analyzed by Rokhlin, Szlam, and Tygert and popularized by Halko, Martinsson, and Tropp, randomized Simultaneous Power Iteration has become the method of choice for approximate singular value decomposition. It is more accurate…

Data Structures and Algorithms · Computer Science 2015-11-02 Cameron Musco , Christopher Musco

We extend a previous investigation of the QCD phase diagram with heavy quarks in the context of background field methods by including the two-loop corrections to the background field effective potential. The nonperturbative dynamics in the…

High Energy Physics - Phenomenology · Physics 2018-05-02 J. Maelger , U. Reinosa , J. Serreau

We employ Numerical Stochastic Perturbation Theory (NSPT) together with twisted boundary conditions (TBC) to search for the leading renormalon in the perturbative expansion of the static energy. This renormalon is expected to emerge four…

High Energy Physics - Lattice · Physics 2011-04-07 Clemens Bauer , Gunnar Bali

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

A natural mechanism for finite temperature quark confinement arises via the coupling of the adjoint Polyakov loop to the chromomagnetic field. Lattice simulations and analytical results both support this hypothesis. Finite temperature SU(3)…

High Energy Physics - Lattice · Physics 2009-10-30 Michael Ogilvie

The effective potential in thermal gluodynamics has stable minima in perturbation theory. There the Wilson line is center group valued and eigenvalues of the Wilson line stay clustered. Calorons with non-trivial holonomy contribute to one…

High Energy Physics - Theory · Physics 2015-01-05 Chris P. Korthals Altes , Alfonso Sastre

We review theoretical aspects of quantum chromodynamics (QCD) at finite temperature. The most important physical variable to characterize hot QCD is the Polyakov loop, which is an approximate order parameter for quark deconfinement in a hot…

High Energy Physics - Phenomenology · Physics 2017-09-13 Kenji Fukushima , Vladimir Skokov

We argue that, at finite temperature, parity invariant non-compact electrodynamics with massive electrons in 2+1 dimensions can exist in both confined and deconfined phases. We show that an order parameter for the confinement-deconfinement…

High Energy Physics - Theory · Physics 2009-10-28 G. Grignani , G. Semenoff , P. Sodano
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