TY  - INPR
A1  - Koenigstein, Adrian
A1  - Pannullo, Laurin
A1  - Rechenberger, Stefan
A1  - Steil, Martin J.
A1  - Winstel, Marc
T1  - Detecting inhomogeneous chiral condensation from the bosonic two-point function in the (1+1)-dimensional Gross-Neveu model in the mean-field approximation
T2  - arXiv
N2  - The phase diagram of the (1+1)-dimensional Gross-Neveu model is reanalyzed for (non-)zero chemical potential and (non-)zero temperature within the mean-field approximation. By investigating the momentum dependence of the bosonic two-point function, the well-known second-order phase transition from the Z2 symmetric phase to the so-called inhomogeneous phase is detected. In the latter phase the chiral condensate is periodically varying in space and translational invariance is broken. This work is a proof of concept study that confirms that it is possible to correctly localize second-order phase transition lines between phases without condensation and phases of spatially inhomogeneous condensation via a stability analysis of the homogeneous phase. To complement other works relying on this technique, the stability analysis is explained in detail and its limitations and successes are discussed in context of the Gross-Neveu model. Additionally, we present explicit results for the bosonic wave-function renormalization in the mean-field approximation, which is extracted analytically from the bosonic two-point function. We find regions -- a so-called moat regime -- where the wave function renormalization is negative accompanying the inhomogeneous phase as expected.
KW  - Gross-Neveu model
KW  - phase diagram
KW  - mean-field
KW  - stability analysis
KW  - two-point function
KW  - inhomogeneous phases
KW  - wave-function renormalization
KW  - moat regime
Y1  - 2021
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/79722
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-797226
UR  - https://arxiv.org/abs/2112.07024v1
IS  - 2112.07024 Version 1
PB  - arXiv
ER  -