scholarly journals Perturbation theory in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge

2009 ◽  
Vol 80 (2) ◽  
Author(s):  
Davide R. Campagnari ◽  
Hugo Reinhardt ◽  
Axel Weber
Keyword(s):  
Perturbation Theory ◽  
Coulomb Gauge ◽  
Hamiltonian Approach ◽  
Yang Mills

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.

scholarly journals Hamiltonian approach to QCD in Coulomb gauge: Perturbative treatment of the quark sector

2015 ◽  
Vol 30 (17) ◽  
pp. 1550100 ◽  
Author(s):  
Davide R. Campagnari ◽  
Hugo Reinhardt
Keyword(s):  
Perturbation Theory ◽  
Quantum Chromodynamics ◽  
Quark Propagator ◽  
Functional Integral ◽  
Coulomb Gauge ◽  
Hamiltonian Approach ◽  
Equal Time ◽  
Quark Sector ◽  
Schrödinger Perturbation ◽  
Perturbative Treatment

We study the static gluon and quark propagator of the Hamiltonian approach to quantum chromodynamics in Coulomb gauge in one-loop Rayleigh–Schrödinger perturbation theory. We show that the results agree with the equal-time limit of the four-dimensional propagators evaluated in the functional integral (Lagrangian) approach.

scholarly journals Hamiltonian approach to Yang-Mills theory in Coulomb gauge

2007 ◽  
Author(s):  
H. Reinhardt ◽  
D. Epple ◽  
W. Schleifenbaum
Keyword(s):  
Coulomb Gauge ◽  
Hamiltonian Approach ◽  
Yang Mills

scholarly journals Hamiltonian approach to Yang-Mills theory in Coulomb gauge

2010 ◽  
Author(s):  
Hugo Reinhardt ◽  
Giuseppe Burgio ◽  
Davide Campagnari ◽  
Dominik Epple ◽  
Claus Feuchter ◽  
...  
Keyword(s):  
Coulomb Gauge ◽  
Hamiltonian Approach ◽  
Yang Mills
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