The Instanton Density in a Quark Gas

Sep, 1980
13 pages
Published in:
  • Nucl.Phys.B 183 (1981) 182-194
  • Published: 1981
Report number:
  • CERN-TH-2941

Citations per year

1981199220032014202401234
Abstract: (Elsevier)
We consider the fermion determinant in an instanton background for a fixed density of quarks. For heavy quarks, instantons of scale sizes greater than the Fermi momentum ( p F ) of the quark gas are strongly suppressed; p F acts as an infrared cut-off on the instanton density. For light quarks, we present asymptotic estimates of the determinant and suggest that, in the strictly massless case, isolated instantons should be completely suppressed and only instanton-anti-instanton pairs should play a role.
  • QUANTUM CHROMODYNAMICS
  • temperature dependence
  • GAUGE FIELD THEORY: CRITICAL PHENOMENA
  • QUARK: GAS
  • MODEL: GAS
  • FIELD EQUATIONS: INSTANTON
  • FIELD THEORY: PATH INTEGRAL
  • FUNCTIONAL ANALYSIS
  • heavy quark
  • PERTURBATION THEORY: HIGHER-ORDER