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Chiral density wave versus pion condensation in the (1+1)-dimensional NJL model

Andersen, Jens Oluf; adhikari, prabal
Journal article, Peer reviewed
Published version
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PhysRevD.95.054020.pdf (571.9Kb)
URI
http://hdl.handle.net/11250/2473061
Date
2017
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  • Institutt for fysikk [1806]
  • Publikasjoner fra CRIStin - NTNU [20804]
Original version
/10.1103/PhysRevD.95.054020
Abstract
In this paper, we study the possibility of an inhomogeneous quark condensate in the (1 þ 1)-dimensional Nambu-Jona-Lasinio model in the large-Nc limit at finite temperature T and quark chemical potential μ using dimensional regularization. The phase diagram in the μ–T plane is mapped out. At zero temperature, an inhomogeneous phase with a chiral-density wave exists for μ > μc, where μc is a critical chemical potential. Performing a Ginzburg-Landau analysis, we show that in the chiral limit, the tricritical point and the Lifschitz point coincide. We also consider the competition between a chiral-density wave and a constant pion condensate at finite isospin chemical potential μI. The phase diagram in the μI − μ plane is mapped out and shows a rich phase structure.
Publisher
American Physical Society
Journal
Physical Review D. Particles and fields

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