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SUMMARY:The effective potential of the confinement order parameter in the
Hamiltonian approach
DTSTART;VALUE=DATE-TIME:20130718T151800Z
DTEND;VALUE=DATE-TIME:20130718T153800Z
DTSTAMP;VALUE=DATE-TIME:20201129T085120Z
UID:indico-contribution-450844@indico.cern.ch
DESCRIPTION:Speakers: Hugo Reinhardt (Tuebingen University)\nThe effective
potential of the order parameter for confinement is calculated for SU(N)
Yang-Mills theory in the Hamiltonian approach. Compactifying one spatial d
imension and using a background gauge fixing\, this potential is obtained
within a variational approach by minimizing the energy density for given b
ackground field. Thereby\, the inverse length of the compactified dimensi
on represents the temperature. Using Gaussian trial wave functionals we es
tablish an analytic relation between the propagators in the background ga
uge at finite-temperature and the corresponding zero temperature propagato
rs in Coulomb gauge. In the simplest truncation\, neglecting the ghost and
using the ultraviolet form of the gluon energy we recover the Weiss poten
tial. We explicitly show that the neglect of the ghost drastically enhance
s the transition temperature. From the full non-pertubative potential (wit
h the ghost included) we extract a critical temperature of the deconfineme
nt phase transition of 269 MeV for the gauge group SU(2) and 275MeV for SU
(3).\n\nhttps://indico.cern.ch/event/218030/contributions/450844/
LOCATION:KTH Campus E2
URL:https://indico.cern.ch/event/218030/contributions/450844/
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