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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

We study effective lattice actions describing the Polyakov loop dynamics originating from finite-temperature Yang-Mills theory. Starting with a strong-coupling expansion the effective action is obtained as a series of Z(3)-invariant…

High Energy Physics - Lattice · Physics 2008-11-26 Christian Wozar , Tobias Kaestner , Andreas Wipf , Thomas Heinzl , Balazs Pozsgay

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

For pure SU(2) lattice gauge theory at finite T, by the help of the cooling method, we search for classical (approximate) solutions having non-trivial holonomy at the spatial boundary. We identify various typical objects and provide their…

High Energy Physics - Lattice · Physics 2007-05-23 E. -M. Ilgenfritz , M. Muller-Preussker , A. I. Veselov

The Polyakov loop has been used repeatedly as an order parameter in the deconfinement phase transition in QCD. We argue that, in the confined phase, its expectation value can be represented in terms of hadronic states, similarly to the…

High Energy Physics - Phenomenology · Physics 2012-10-11 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We study some interesting aspects of the spectral properties of SU(3) gauge theory, both with and without dynamical quarks (QCD) at thermal equilibrium using lattice gauge theory techniques. By calculating the eigenstates of a massless…

High Energy Physics - Lattice · Physics 2026-03-05 Harshit Pandey , Ravi Shanker , Sayantan Sharma

We study order parameters for the confinement-deconfinement phase transition related to the Polyakov-loop variable. The functional renormalisation group is used to compute these order parameters in a unified, non-perturbative continuum…

High Energy Physics - Phenomenology · Physics 2015-10-14 Tina K. Herbst , Jan Luecker , Jan M. Pawlowski

The finite temperature phase transition in the SU(2) Higgs model at a Higgs boson mass $M_H \simeq 34$ GeV is studied in numerical simulations on four-dimensional lattices with time-like extensions up to $L_t=5$. The effects of the finite…

High Energy Physics - Lattice · Physics 2009-10-28 F. Csikor , Z. Fodor , J. Hein , A. Jaster , I. Montvay

The deconfinement transition in SU(4) lattice gauge theory is studied on N_s^3 X N_t lattices with N_s = 8-16 and N_t = 4-8 using a modified Wilson action which is expected to have no bulk transitions. The peak of susceptibility \chi_{|L|}…

High Energy Physics - Lattice · Physics 2007-05-23 Rajiv V. Gavai

In a 2+1-dimensional pure LGT at finite temperature the critical coupling for the deconfinement transition scales as $\beta_c(n_t) = J_c n_t + a_1$, where $n_t$ is the number of links in the ``time-like'' direction of the symmetric lattice.…

High Energy Physics - Theory · Physics 2009-10-30 M. Billo' , M. Caselle , A. D'Adda

We study the phase structure of SU(3) lattice gauge theory with Nf=12 staggered fermions in the fundamental representation, for both zero and finite temperature at strong gauge couplings. For small fermion masses we find two transitions at…

High Energy Physics - Lattice · Physics 2012-05-28 Anqi Cheng , Anna Hasenfratz , David Schaich

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

Simulations of four-dimensional SU(2) lattice gauge theory are performed with partial axial gauge fixing trees spanning three of the four dimensions. The remaining SU(2) gauge symmetry, global in three directions and local in one, is found…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Grady

We put forward a Polyakov-loop extended quark meson model, where matter as well as glue fluctuations are taken into account, cf. [1]. The latter are included via a Polyakov-loop potential. Usually such a glue potential is based on…

High Energy Physics - Phenomenology · Physics 2014-01-09 Tina K. Herbst , Mario Mitter , Jan M. Pawlowski , Bernd-Jochen Schaefer , Rainer Stiele

We analyze the branching of center vortices in $SU(3)$ Yang-Mills theory in maximal center gauge. When properly normalized, we can define a branching probability that turns out to be independent of the lattice spacing (in the limited…

High Energy Physics - Theory · Physics 2018-11-26 Felix Spengler , Markus Quandt , Hugo Reinhardt

A first-order, confinement/deconfinement phase transition appears in the finite temperature behavior of many non-Abelian gauge theories. These theories play an important role in proposals for completion of the Standard Model of particle…

High Energy Physics - Lattice · Physics 2026-04-10 Ed Bennett , Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino , Fabian Zierler

We investigate the phase diagram and finite-temperature transitions of three-dimensional scalar SO(Nc) gauge theories with Nf scalar flavors. These models are constructed starting from a maximally O(N)-symmetric multicomponent scalar model…

Statistical Mechanics · Physics 2021-01-01 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We study the nature of the phase transition of lattice gauge theories at high temperature and high density by focusing on the probability distribution function, which represents the probability that a certain density will be realized in a…

High Energy Physics - Lattice · Physics 2023-01-04 Shinji Ejiri

We study finite-temperature properties of the strongly interacting bosons in three-dimensional lattices by employing the combined Bogoliubov method and the quantum rotor approach. Based on the mapping of the Bose-Hubbard Hamiltonian of…

Quantum Gases · Physics 2015-10-16 T. A. Zaleski , T. K. Kopec

Properties of local Polyakov loops for SU(2) and SU(3) lattice gauge theory at finite temperature are analyzed. We show that spatial clusters can be identified where the local Polyakov loops have values close to the same center element. For…

High Energy Physics - Lattice · Physics 2015-03-17 Christof Gattringer , Alexander Schmidt