Low Temperature Dominance of Pion-like Excitations in the Massive Gross-Neveu Model at Order 1/N

Abstract

We perform a 1/N-expansion of the partition function of the massive Gross-Neveu model in 1+1 dimensions. The procedure allows for the inclusion of the contribution of scalar and pseudoscalar composites (of order 1/N) to the equation of state. The naive expectation that the bosonic fluctuations correct significantly the mean field approximation at low temperatures is confirmed by our calculations. Actually the relevant degrees of freedom of hadronic matter at low temperatures are found to be pion-like excitations, rather than the fundamental constituents.

LaTex, 19 pages + 3 figure.ps

References in corpus (6)

• Chiral Restoration in Hot and/or Dense Matter
• Thermodynamics of the Massive Gross-Neveu Model
• Meson loops in the Nambu-Jona-Lasinio model
• 1/N_c- expansion of the quark condensate at finite temperature
• Melting of the quark condenstate in the NJL model with meson loops
• 1/N_c expansion for the partition function in four fermion models

Cited by in corpus (4)

• The Gross-Neveu model at finite temperature at next to leading order in the 1/N expansion
• Equation of state for the 2+1 dimensional Gross-Neveu model at order 1/N
• The next to leading order effective potential in the 2+1 dimensional Nambu-Jona-Lasinio model at finite temperature
• Chiral Meson Masses at Finite Temperature and Density