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The variational Hamiltonian approach to QCD in Coulomb gauge is reviewed and the essential results obtained in recent years are summarized. First the results for the vacuum sector are discussed, with a special emphasis on the mechansim of…

High Energy Physics - Theory · Physics 2016-11-23 H. Reinhardt , D. Campagnari , J. Heffner , M. Quandt , P. Vastag

It is well established that physical quantities like the heavy quark potentials get temperature independent at sufficiently short distances. As a first application of this feature we suggest a new order parameter for the…

High Energy Physics - Lattice · Physics 2007-05-23 F. Zantow , O. Kaczmarek , F. Karsch , P. Petreczky

Heavy quark potential in the continuum theory at finite temperature is calculated in different phases by using the Polyakov loop as the order parameter. We find the linearly rising potential in the confinement phase, the Debye screened…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Bohacik , P. Presnajder

Monte-Carlo simulations of abelian projection in $T \neq 0$ pure lattice QCD show that 1)\ Polyakov loops written in terms of abelian link fields alone play a role of an order parameter of deconfinement transition 2)\ the abelian Polyakov…

High Energy Physics - Lattice · Physics 2009-10-28 Yoshimi Matsubara , Sawut Ilyar , Tsuyoshi Okude , Kenji Yotsuji , Tsuneo Suzuki

After a short exposition of field correlators in the QCD vacuum and the recently discovered Casimir scaling phenomenon, the origin of confinement in QCD is discussed and two possible mechanisms are suggested, which can be checked by new…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. A. Simonov

With combined hopping parameter and strong coupling expansions, we calculate a dimensionally reduced Polyakov-loop effective theory valid for heavy quarks at nonzero temperature and arbitrary chemical potential. We numerically compute the…

High Energy Physics - Lattice · Physics 2015-06-11 Michael Fromm , Jens Langelage , Stefano Lottini , Mathias Neuman , Owe Philipsen

I report on recent results obtained within the Hamiltonian approach to QCD in Coulomb gauge. Furthermore this approach is compared to recent lattice data, which were obtained by an alternative gauge fixing method and which show an improved…

High Energy Physics - Theory · Physics 2017-06-12 H. Reinhardt , G. Burgio , D. Campagnari , E. Ebadati , J. Heffner , M. Quandt , P. Vastag , H. Vogt

QCD with two flavours of massless colour-sextet quarks is considered as a model for conformal/walking Technicolor. If this theory possess an infrared fixed point, as indicated by 2-loop perturbation theory, it is a conformal(unparticle)…

High Energy Physics - Lattice · Physics 2014-11-20 J. B. Kogut , D. K. Sinclair

In preparation of lattice studies of the two-color QCD phase diagram we study chiral restoration and deconfinement at finite temperature with two flavors of staggered quarks using an RHMC algorithm on GPUs. We first study unquenching…

High Energy Physics - Lattice · Physics 2013-11-19 David Scheffler , Christian Schmidt , Dominik Smith , Lorenz von Smekal

Using vector and axial-vector correlators within finite energy sum rules with inputs from a chiral quark model, coupled to the Polyakov loop, with nonlocal vector interactions, we extend our previous work to confirm the equivalence between…

High Energy Physics - Phenomenology · Physics 2019-11-13 J. P. Carlomagno , M. Loewe

We describe how the general mechanism of partial deconfinement applies to large-$N$ QCD and the partially-deconfined phase inevitably appears between completely-confined and completely-deconfined phases. Furthermore, we propose how the…

High Energy Physics - Lattice · Physics 2023-12-29 Masanori Hanada , Hiroki Ohata , Hidehiko Shimada , Hiromasa Watanabe

We discuss the relation between the Polyakov loop and the chiral order parameter at finite temperature by using the Gocksch-Ogilvie model with fundamental or adjoint quarks. The model is based on the double expansion of strong coupling and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Kenji Fukushima

For the exploration of the phase diagram of QCD, effective Polyakov loop theories derived from lattice QCD provide a valuable tool in the heavy quark mass regime. In practice, the evaluation of these theories is complicated by the…

High Energy Physics - Lattice · Physics 2022-12-09 Christoph Konrad , Owe Philipsen , Jonas Scheunert

We study the phase diagram of QCD with the help of order parameters for chiral symmetry breaking and quark confinement. We also introduce a new order parameter for the confinement phase transition, which is related to the quark density. It…

High Energy Physics - Phenomenology · Physics 2011-02-02 Jens Braun , Lisa M. Haas , Florian Marhauser , Jan M. Pawlowski

We extend the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model by introducing an effective four-quark vertex depending on Polyakov loop. The effective vertex generates entanglement interactions between Polyakov loop and chiral…

High Energy Physics - Phenomenology · Physics 2014-11-21 Yuji Sakai , Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro

We consider QCD at very low temperatures and non-zero quark chemical potential from lattice Monte Carlo simulations of the two-color theory in a very small spatial volume (the attoscale). In this regime the quark number rises in discrete…

High Energy Physics - Lattice · Physics 2015-03-17 Simon Hands , Timothy J. Hollowood , Joyce C. Myers

We propose that in QCD with dynamical quarks, colour deconfinement occurs when an external field induced by the chiral condensate strongly aligns the Polyakov loop. This effect sets in at the chiral symmetry restoration temperature…

High Energy Physics - Lattice · Physics 2009-10-31 S. Digal , E. Laermann , H. Satz

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

Deconfinement phase transition due to disappearance of confining colorelectric field correlators is described using nonperturbative equation of state. The resulting transition temperature $T_c(\mu)$ at any chemical potential $\mu$ is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yu. A. Simonov , M. A. Trusov

We discuss how to extract renormalized from bare Polyakov loops in SU(N) lattice gauge theories at nonzero temperature in four spacetime dimensions. Single loops in an irreducible representation are multiplicatively renormalized without…

High Energy Physics - Theory · Physics 2011-05-05 Adrian Dumitru , Yoshitaka Hatta , Jonathan Lenaghan , Kostas Orginos , Robert D. Pisarski