Phase fluctuations in low-dimensional Gross-Neveu models

Jens O. Andersen

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arXiv · hep-th/0506261

Phase fluctuations in low-dimensional Gross-Neveu models

Jens O. Andersen

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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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Jens O. Andersen. 2005-06-30. Phase fluctuations in low-dimensional Gross-Neveu models. https://arxiv.org/abs/hep-th/0506261

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