TY - JOUR
T1 - Infrared saturation and phases of gauge theories with BRST symmetry
AU - Mader, Valentin
AU - Schaden, Martin
AU - Zwanziger, Daniel
AU - Alkofer, Reinhard
N1 - Funding Information:
VM thanks the members of the Rutgers Newark Physics Department for their hospitality, Lorenz von Smekal for drawing his interest to the Kugo–Ojima scenario, Markus Huber for checking some results presented in Sect. and the Institut für Kernphysik at the Technical University Darmstadt for their support. We thank Natália Alkofer, Jeff Greensite, Markus Huber and Lorenz von Smekal for helpful discussions. This project was supported by the Austrian Science Fund (FWF), Doctoral Program on Hadrons in Vacuum, Nuclei, and Stars (FWF DK W1203-N16).
PY - 2014/7
Y1 - 2014/7
N2 - We investigate the infrared limit of the quantum equation of motion of the gauge boson propagator in various gauges and models with a BRST symmetry. We find that the saturation of this equation at low momenta distinguishes between the Coulomb, Higgs and confining phase of the gauge theory. The Coulomb phase is characterized by a massless gauge boson. Physical states contribute to the saturation of the transverse equation of motion of the gauge boson at low momenta in the Higgs phase, while the saturation is entirely due to unphysical degrees of freedom in the confining phase. This corollary to the Kugo-Ojima confinement criterion in linear covariant gauges also is sufficient for confinement in general covariant gauges with BRST and anti-BRST symmetry, maximal Abelian gauges with an equivariant BRST symmetry, non-covariant Coulomb gauge and in the Gribov-Zwanziger theory.
AB - We investigate the infrared limit of the quantum equation of motion of the gauge boson propagator in various gauges and models with a BRST symmetry. We find that the saturation of this equation at low momenta distinguishes between the Coulomb, Higgs and confining phase of the gauge theory. The Coulomb phase is characterized by a massless gauge boson. Physical states contribute to the saturation of the transverse equation of motion of the gauge boson at low momenta in the Higgs phase, while the saturation is entirely due to unphysical degrees of freedom in the confining phase. This corollary to the Kugo-Ojima confinement criterion in linear covariant gauges also is sufficient for confinement in general covariant gauges with BRST and anti-BRST symmetry, maximal Abelian gauges with an equivariant BRST symmetry, non-covariant Coulomb gauge and in the Gribov-Zwanziger theory.
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U2 - 10.1140/epjc/s10052-014-2881-8
DO - 10.1140/epjc/s10052-014-2881-8
M3 - Article
AN - SCOPUS:84901562275
SN - 1434-6044
VL - 74
SP - 1
EP - 20
JO - European Physical Journal C
JF - European Physical Journal C
IS - 5
M1 - 2881
ER -