Hamiltonian Approach to QCD in Coulomb Gauge: A Survey of Recent Results
| Autor: | Davide R. Campagnari, P. Vastag, E. Ebadati, Giuseppe Burgio, Hugo Reinhardt, Jan Heffner, Hannes Vogt, Markus Quandt |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Quark
High Energy Physics - Theory Nuclear and High Energy Physics Phase transition High Energy Physics::Lattice FOS: Physical sciences 01 natural sciences Deconfinement Computer Science::Digital Libraries symbols.namesake High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Lattice 0103 physical sciences Coulomb 010306 general physics Gauge fixing Quantum chromodynamics Physics 010308 nuclear & particles physics High Energy Physics - Lattice (hep-lat) High Energy Physics::Phenomenology lcsh:QC1-999 Gluon High Energy Physics - Phenomenology High Energy Physics - Theory (hep-th) Quantum electrodynamics symbols Hamiltonian (quantum mechanics) lcsh:Physics |
| Zdroj: | Advances in High Energy Physics Advances in High Energy Physics, Vol 2018 (2018) |
| Popis: | 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 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 $275 \, \mathrm{MeV}$ and $280 \, \mathrm{MeV}$, respectively. When quarks are included, the deconfinement transition turns into a cross-over. From the dual and chiral quark condensate one finds pseudo-critical temperatures of $198 \, \mathrm{MeV}$ and $170 \, \mathrm{MeV}$, respectively, for the deconfinement and chiral transition. Talk given by H. Reinhardt at "5th Winter Workshop on Non-Perturbative Quantum Field Theory", 22-24 March 2017, Sophia-Antipolis, France. arXiv admin note: text overlap with arXiv:1609.09370, arXiv:1510.03286, arXiv:1607.08143 |
| Databáze: | OpenAIRE |
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