Inhomogeneous phases in the Nambu-Jona-Lasinio and quark-meson model
Name
Nickel-2009-Inhomogeneous phases in the Nambu-Jona-Lasinio and quark-meson model.pdf
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355.72 KB
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Author(s)
Nickel, Marcel Dominik Johannes
Date Issued
July 2009
Journal
Physical Review D
Publisher
American Physical Society
Citation
Nickel, Dominik . “Inhomogeneous phases in the Nambu- Jona-Lasinio and quark-meson model.” Physical Review D 80.7 (2009): 074025. © 2009 The American Physical Society
Version
Final published version
Abstract
We discuss inhomogeneous ground states of the Nambu–Jona-Lasinio and quark-meson model within mean-field approximation and their possible existence in the respective phase diagrams. For this purpose we focus on lower-dimensional modulations and point out that known solutions in the 2+1 and 1+1 dimensional (chiral) Gross-Neveu model can be lifted to the to the 3+1 dimensional Nambu–Jona-Lasinio model. This is worked out in detail for one-dimensional modulations and numerical results for the phase diagrams are presented. Focus is put on the critical point and on vanishing temperatures. As an interesting result the first order transition line in the phase diagram of homogeneous phases gets replaced by an inhomogeneous phase which is bordered by two second order transition lines.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevD.80.074025
