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Related papers: Constrained effective potential in hot QCD

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We introduce a D-dimensional Hamiltonian formalism for the study of Polyakov loop models of finite temperature gauge theories in D+1 dimensions. Polyakov loop string tensions are obtained from energy eigenstates of the Hamiltonian. For D=1,…

High Energy Physics - Lattice · Physics 2008-11-26 Peter N. Meisinger , Michael C. Ogilvie

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

We present the first measurement of the vortex free-energy order parameter at weak coupling for SU(2) in simulations employing multihistogram methods. The result shows that the excitation probability for a sufficiently thick vortex in the…

High Energy Physics - Lattice · Physics 2009-10-31 T. G. Kovacs , E. T. Tomboulis

We calculate the colour averaged and colour singlet free energies of static quark anti-quark sources placed in a thermal gluonic heat bath. We discuss the renormalization of these free energies using the short distance properties of the…

High Energy Physics - Lattice · Physics 2008-11-26 O. Kaczmarek , F. Karsch , P. Petreczky , F. Zantow

We study the effective bosonic string that describes confining flux tubes in three-dimensional SU(N) Yang--Mills theories. Although the low-energy properties are universal and well described by the Nambu--Got\=o action, the subtle…

High Energy Physics - Lattice · Physics 2024-12-20 Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Dario Panfalone , Lorenzo Verzichelli

Using an improved estimator in the loop-cluster algorithm, we investigate the constraint effective potential of the magnetization in the spin $\tfrac{1}{2}$ quantum XY model. The numerical results are in excellent agreement with the…

Strongly Correlated Electrons · Physics 2011-06-08 U. Gerber , C. P. Hofmann , F. -J. Jiang , G. Palma , P. Stebler , U. -J. Wiese

We study the one-loop Polyakov-loop effective potential in pure gluonic matter under constant acceleration. We perform the computation in both the Euclidean Rindler spacetime and the optical spacetime, which are related via a conformal…

High Energy Physics - Phenomenology · Physics 2026-05-29 Hao-Lei Chen , Kenji Fukushima , Yu-Han Gao , Xu-Guang Huang , Yusuke Shimada , Zhi-Bin Zhu

The free energy for QCD at high temperature $T$ is calculated to order $g^5$ using effective-field-theory methods to separate the contributions from the momentum scales $T$ and $gT$. The effects of the scale $T$ enter through the…

High Energy Physics - Phenomenology · Physics 2016-08-24 Eric Braaten , Agustin Nieto

To leading order in perturbation theory, we solve QCD, defined on a small three sphere in the large N and Nf limit, at finite chemical potential and map out the phase diagram in the (mu,T) plane. The action of QCD is complex in the presence…

High Energy Physics - Theory · Physics 2015-03-13 Simon Hands , Timothy J. Hollowood , Joyce C. Myers

We study thermodynamic consequences of the hidden Bose-Einstein singularities, which have been predicted to cause a pseudogap phase, based on quantum field theory of ordered phases. Starting from the Luttinger-Ward functional for the grand…

Strongly Correlated Electrons · Physics 2025-09-08 Takafumi Kita

Using the example of the SU(2) gauge theory in 3+1 dimensions we consider the construction of a 3-dimensional effective model in terms of Polyakov loops. We demonstrate the application of an equilibrium self-consistency condition to the…

High Energy Physics - Lattice · Physics 2008-11-26 Alexander Velytsky

We discuss nonperturbative contributions to the 3-dimensional one-loop effective potential of the electroweak theory at high temperatures in the framework of the stochastic vacuum model. It assumes a gauge-field background with Gaussian…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. J. Huber , A. Laser , M. Reuter , M. G. Schmidt

Predicting phenomena that mix few-photon quantum optics with strong field nonlinear optics is hindered by the use of separate theoretical formalisms for each regime. We close this gap with a unified effective field theory valid for…

Optics · Physics 2025-12-30 Xiaochen Liu , Ken-Tye Yong

The first-principle approach to the dense state of QCD matter, i.e. the lattice-QCD simulation at finite baryon density, is not under theoretical control for the moment. The effective model study based on QCD symmetries is a practical…

High Energy Physics - Phenomenology · Physics 2015-05-19 Kenji Fukushima

In the real time formalism of the finite-temperature field theory, we compute the one-loop gluon self-energy in a semi-quark-gluon plasma (QGP) where a background filed ${\cal Q}$ has been introduced for the vector potential, leading to a…

High Energy Physics - Phenomenology · Physics 2022-10-03 Yubiao Wang , Qianqian Du , Yun Guo

In order to come closer to a realistic model of high-energy collisions, we simulate SU(2) lattice gauge theory under fluctuating temperature. The fluctuations are Euler-Gamma distributed, leading to a canonical state maximizing the Renyi…

High Energy Physics - Lattice · Physics 2011-05-11 Tamas S. Biro , Z. Schram

Nuclear collisions at sufficiently high energies are expected to produce far-from-equilibrium matter with a high density of gluons at early times. We show gauge condensation, which occurs as a consequence of the large density of gluons. To…

High Energy Physics - Phenomenology · Physics 2023-07-26 Jürgen Berges , Kirill Boguslavski , Lillian de Bruin , Tara Butler , Jan M. Pawlowski

We investigate the implications of Nambu-Goto (NG), L\"uscher-Weisz (LW) and Polyakov-Kleinert (PK) string actions for the Casimir energy of the QCD flux-tube at one and two loop order at finite temperature. We perform our numerical study…

High Energy Physics - Lattice · Physics 2020-02-28 A. S. Bakry , M. A. Deliyergiyev , A. A. Galal , M. Khalil William

The potential between a heavy quark and an anti-quark inside the quark-gluon plasma (QGP) is studied on the basis of the gauge/gravity duality. A real-time complex potential V_{Q\bar{Q}}(t,r) is derived from the Wilson loop with the…

High Energy Physics - Phenomenology · Physics 2015-06-12 Tomoya Hayata , Kanabu Nawa , Tetsuo Hatsuda

The 't Hooft-Veneziano limit of various U(N) and SU(N) Polyakov loop models is constructed at finite temperature and non-zero baryon chemical potential. In this paper we calculate the free energy, its derivatives, the Polyakov loop…

High Energy Physics - Lattice · Physics 2022-01-19 O. Borisenko , V. Chelnokov , S. Voloshyn
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