UR(N)-invariant four-fermion interactions and Nambu-Goldstone mechanism at finite temperature

Abstract

In a chiral UL(N)×UR(N) fermion model of NJL-form, we prove that, if all the fermions are assumed to have equal masses and equal chemical potentials, then at the finite temperature T below the symmetry restoration temperature Tc, there will be N2 massive scalar composite particles and N2 massless pseudoscalar composite particles (Nambu-Goldstone bosons). This shows that the Goldstone Theorem at finite temperature for spontaneous symmetry breaking UL(N)×UR(N) → UL+R(N) is consistent with the real-time formalism of thermal field theory in this model. PACS numbers: 11.10.Wx, 11.30.Rd, 11.30.Qc, 14.80.Mz

Cite this paper

@inproceedings{Zhou1999URNinvariantFI, title={UR(N)-invariant four-fermion interactions and Nambu-Goldstone mechanism at finite temperature}, author={B. Zhou}, year={1999} }