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Critical Behavior in the Dense Planar Nambu–Jona-Lasinio Model

Susan Morrison, Simon Hands, Biagio Lucini Orcid Logo

Physical Review Letters, Volume: "86", Issue: 5, Pages: 753 - 756

Swansea University Author: Biagio Lucini Orcid Logo

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Abstract

We present results of a Monte Carlo simulation of a 2+1 dimensional Nambu - Jona-Lasinio model including diquark source terms. A diquark condensate <qq> is measured as a function of source strength j. In the vacuum phase <qq> vanishes linearly with j as expected, but simulations in a reg...

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Published in: Physical Review Letters
ISSN: 0031-9007 1079-7114
Published: 2000
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa27966
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Abstract: We present results of a Monte Carlo simulation of a 2+1 dimensional Nambu - Jona-Lasinio model including diquark source terms. A diquark condensate <qq> is measured as a function of source strength j. In the vacuum phase <qq> vanishes linearly with j as expected, but simulations in a region with non-zero baryon density suggest a power-law scaling and hence a critical system for all mu > mu_c. There is no diquark condensation signalling superfluidity. Comparisons are drawn with known results in two dimensional theories, and with the pseudogap phase in cuprate superconductors. We also measure the dispersion relation E(k) for fermionic excitations, and find results consistent with a sharp Fermi surface. Any superfluid gap Delta is constrained to be much less than the constituent quark mass scale Sigma_0.
College: Faculty of Science and Engineering
Issue: 5
Start Page: 753
End Page: 756