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Phase fluctuations in low-dimensional Gross-Neveu models

2005/06/30 by Jens O. Andersen, Andersen, Jens O.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Superconductivity (cond-mat.supr-con) #cond-mat.supr-con #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0506261

4 pages, uses revtex4

arxiv created 2005/06/30 · openalex publication_date 2005/06/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We 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.

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