scholarly journals Deconfinement phase transition in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge

2012 ◽  
Vol 85 (12) ◽  
Author(s):  
Jan Heffner ◽  
Hugo Reinhardt ◽  
Davide R. Campagnari
Keyword(s):  
Phase Transition ◽  
Coulomb Gauge ◽  
Hamiltonian Approach ◽  
Yang Mills ◽  
Deconfinement Phase Transition

scholarly journals Hamiltonian Approach to QCD in Coulomb Gauge: A Survey of Recent Results

2018 ◽  
Vol 2018 ◽  
pp. 1-21 ◽  
Author(s):  
H. Reinhardt ◽  
G. Burgio ◽  
D. Campagnari ◽  
E. Ebadati ◽  
J. Heffner ◽  
...  
Keyword(s):  
Spatial Dimension ◽  
String Tension ◽  
Quark Condensate ◽  
Coulomb Gauge ◽  
Hamiltonian Approach ◽  
Critical Temperatures ◽  
Yang Mills ◽  
Center Vortex ◽  
Gauge Fixing ◽  
Deconfinement Phase Transition

We 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 agreement with the continuum results. By relating the Gribov confinement scenario to the center vortex picture of confinement, it is shown that the Coulomb string tension is tied to the spatial string tension. For the quark sector, a vacuum wave functional is used which explicitly contains the coupling of the quarks to the transverse gluons and which results in variational equations which are free of ultraviolet divergences. The variational approach is extended to finite temperatures by compactifying a spatial dimension. The effective potential of the Polyakov loop is evaluated from the zero-temperature variational solution. For pure Yang–Mills theory, the deconfinement phase transition is found to be second order for SU(2) and first order for SU(3), in agreement with the lattice results. The corresponding critical temperatures are found to be 275 MeV and 280 MeV, respectively. When quarks are included, the deconfinement transition turns into a crossover. From the dual and chiral quark condensate, one finds pseudocritical temperatures of 198 MeV and 170 MeV, respectively, for the deconfinement and chiral transition.

SPECTRUM OF SCREENING MASSES FOR SU(2) GAUGE THEORY: UNIVERSALITY CLASS

2010 ◽  
Vol 19 (08n10) ◽  
pp. 1725-1729
Author(s):  
R. S. COSTA ◽  
S. B. DUARTE ◽  
M. CHIAPPARINI ◽  
T. MENDES
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Gauge Theory ◽  
Critical Temperature ◽  
Variational Method ◽  
Excited States ◽  
Universality Class ◽  
Yang Mills ◽  
Exponential Method ◽  
Deconfinement Phase Transition

In this work we study the spectrum of the lowest screening masses for Yang–Mills theories on the lattice. We used the SU(2) gauge group in (3 + 1) dmensions. We adopted the multiple exponential method and the so-called "variational" method, in order to detect possible excited states. The calculations were done near the critical temperature of the confinement-deconfinement phase transition. We obtained values for the ratios of the screening masses consistent with predictions from universality arguments. A Monte Carlo evolution of the screening masses in the gauge theory confirms the validity of the predictions.

scholarly journals Dark confinement-deconfinement phase transition: a roadmap from Polyakov loop models to gravitational waves

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Zhaofeng Kang ◽  
Jiang Zhu ◽  
Shinya Matsuzaki
Keyword(s):  
Phase Transition ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Latent Heat ◽  
Polyakov Loop ◽  
Thermodynamic Quantities ◽  
Point Interactions ◽  
Yang Mills ◽  
First Order ◽  
Deconfinement Phase Transition

Abstract We explore the confinement-deconfinement phase transition (PT) of the first order (FO) arising in SU(N) pure Yang-Mills theory, based on Polyakov loop models (PLMs), in light of the induced gravitational wave (GW) spectra. We demonstrate that the PLMs with the Haar measure term, involving models successful in QCD with N = 3, are potentially incompatible with the large N scaling for the thermodynamic quantities and the latent heat at around the criticality of the FOPT reported from the lattice simulations. We then propose a couple of models of polynomial form, which we call the 4-6 PLM (with four- and six-point interactions among the basic PL fields which have center charge 1) and 4-8 PLM (with four- and eight-point interactions), and discuss how such models can naturally arise in the presence of a heavy PL with charge 2. We show that those models give the consistent thermodynamic and large N properties at around the criticality. The predicted GW spectra are shown to have high enough sensitivity to be probed in the future prospected interferometers such as BBO and DECIGO.

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