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SUMMARY:Geometrical clusterization of  Polyakjov loops in SU(2)  lattice g
 luodynamics
DTSTART;VALUE=DATE-TIME:20161013T130500Z
DTEND;VALUE=DATE-TIME:20161013T132500Z
DTSTAMP;VALUE=DATE-TIME:20260715T165705Z
UID:indico-contribution-745@cern.ch
DESCRIPTION:Speakers: Oleksii Ivanytskyi (Bogolyubov Institute for Theoret
 ical Physics of NAS of Ukraine)\nThe liquid droplet formula is applied to 
 an analysis of the properties of geometrical (anti)clusters formed in SU(2
 ) gluodynamics by the Polyakov loops of the same sign. Using this approach
 \, we explain the phase transition in SU(2) gluodynamics as a transition b
 etween two liquids during which one of the liquid droplets (the largest cl
 uster of a certain Polyakov loop sign) experiences a conden-sation\, while
  another droplet (the next to the largest cluster of the opposite sign of 
 Polyakov loop) evaporates. The clusters of smaller sizes form two accompan
 ying gases\, which behave oppositely to their liquids. The liquid droplet 
 formula is used to analyze the size distributions of the gas (anti)cluster
 s. The fit of these distributions allows us to extract the temperature dep
 endence of surface tension and the value of Fisher topological exponent fo
 r both kinds of gaseous clusters. It is shown that the surface tension coe
 fficient of gaseous (anti)clusters can serve as an order parameter of the 
 deconfinement phase transition in SU(2) gluodynamics. The Fisher topologic
 al exponent of (anti)clusters is found to have the same value 1:806 0:008.
  This value disagrees with the famous Fisher droplet model\, but it agrees
  well with an exactly solvable model of nuclear liquid-gas phase transitio
 n. This finding may evidence for the fact that the SU(2) gluodynamics and 
 this exactly solvable model of nuclear liquid-gas phase transition are in 
 the same universality class.\n\nKewords: geometrical clusters\, size distr
 ibutions\, liquid droplet model formula\,\nsurface tension\n\nhttps://indi
 co.particle.mephi.ru/event/4/contributions/745/
LOCATION:Milan Hotel Vivaldi-Boccerini
URL:https://indico.particle.mephi.ru/event/4/contributions/745/
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