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X-WR-CALNAME:Centre for Mathematical Sciences
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X-WR-CALDESC:Events for Centre for Mathematical Sciences
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DTSTART:20220101T000000
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DTSTART;TZID=UTC:20221214T160000
DTEND;TZID=UTC:20221214T170000
DTSTAMP:20230401T142440
CREATED:20221204T131457Z
LAST-MODIFIED:20221208T214051Z
UID:4338-1671033600-1671037200@math-sciences.org
SUMMARY:John Gracey (University of Liverpool) - Infrared QCD propagators and effective gluon mass
DESCRIPTION:Since the start of the century the behaviour \nof the gluon and ghost propagators have been widely \nstudied on the lattice at low momenta. In the Landau \ngauge the gluon propagator freezes to a non-zero finite \nvalue indicating the presence of a mass scale. Such a \nscale could be explained from a field theory point of \nview via the Gribov construction. Work by Serreau and \nTissier showed that the effect of Gribov copies could \nbe modelled by the inclusion of a gluon mass operator in \nYang-Mills theory which effectively corresponds to an \nadditional gauge parameter. The talk covers two topics \nwhere an effective gluon mass plays a role in studying \ninfrared dynamics. The first concerns a two loop \ncomputation of the gluon and ghost propagators in \nLandau gauge Yang-Mills where the lattice propagators \nare fitted over the full momentum range. The effect of \nincluding a quark mass is also discussed. The second \ntopic deals with the construction of the three loop \neffective potential for the gluon mass operator constructed \nusing the local composite operator method. Estimates of \nthe effective gluon mass resulting from the absolute \nminimum of the potential are given and compared with \nvalues from other techniques.
URL:http://math-sciences.org/event/john-gracey-university-of-liverpool/
LOCATION:Room 101\, 2-5 Kirkby Place\, Plymouth\, PL4 6DT\, United Kingdom
CATEGORIES:Theoretical Physics
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