Inhomogeneous phases in the Nambu-Jona-Lasinio and quark-meson model
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 dimen...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/52505 |
| _version_ | 1811075669268889600 |
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| author | Nickel, Marcel Dominik Johannes |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Nickel, Marcel Dominik Johannes |
| author_sort | Nickel, Marcel Dominik Johannes |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T10:10:05Z |
| format | Article |
| id | mit-1721.1/52505 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:10:05Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/525052022-09-30T19:21:05Z Inhomogeneous phases in the Nambu-Jona-Lasinio and quark-meson model Nickel, Marcel Dominik Johannes Massachusetts Institute of Technology. Center for Theoretical Physics Nickel, Marcel Dominik Johannes Nickel, Marcel Dominik Johannes 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. German Research Foundation (Grant No. Ni 1191/1-1) U.S. Department of Energy (Cooperative Research Agreement No. DEFG0205ER41360) 2010-03-11T16:36:04Z 2010-03-11T16:36:04Z 2009-07 2009-10 Article http://purl.org/eprint/type/JournalArticle 1550-2368 1550-7998 http://hdl.handle.net/1721.1/52505 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 en_US http://dx.doi.org/10.1103/PhysRevD.80.074025 Physical Review D 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. application/pdf American Physical Society APS |
| spellingShingle | Nickel, Marcel Dominik Johannes Inhomogeneous phases in the Nambu-Jona-Lasinio and quark-meson model |
| title | Inhomogeneous phases in the Nambu-Jona-Lasinio and quark-meson model |
| title_full | Inhomogeneous phases in the Nambu-Jona-Lasinio and quark-meson model |
| title_fullStr | Inhomogeneous phases in the Nambu-Jona-Lasinio and quark-meson model |
| title_full_unstemmed | Inhomogeneous phases in the Nambu-Jona-Lasinio and quark-meson model |
| title_short | Inhomogeneous phases in the Nambu-Jona-Lasinio and quark-meson model |
| title_sort | inhomogeneous phases in the nambu jona lasinio and quark meson model |
| url | http://hdl.handle.net/1721.1/52505 |
| work_keys_str_mv | AT nickelmarceldominikjohannes inhomogeneousphasesinthenambujonalasinioandquarkmesonmodel |