2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53173We consider the Gross-Neveu model with a continuous chiral symmetry in two and three spacetime dimensions at zero and finite temperature. In order to study long-range phase coherence, we construct an effective low-energy Lagrangian for the phase $θ$. This effective Lagrangian is used to show that the fermionic two-particle correlation function at finite temperature decays algebraically in 2+1 dimensions and exponentially in 1+1 dimensions.4 pages, uses revtex4High Energy Physics - TheorySuperconductivitytext