TY  - JOUR
A1  - Lenz, Julian
A1  - Pannullo, Laurin
A1  - Wagner, Marc
A1  - Wellegehausen, Björn-Hendrik
A1  - Wipf, Andreas
T1  - Inhomogeneous phases in the Gross-Neveu model in 1 + 1 dimensions at finite number of flavors
T2  - Physical review. D : covering particles, fields, gravitation, and cosmology
N2  - We explore the thermodynamics of the 1+1-dimensional Gross-Neveu (GN) model at a finite number of fermion flavors Nf, finite temperature, and finite chemical potential using lattice field theory. In the limit Nf→∞ the model has been solved analytically in the continuum. In this limit three phases exist: a massive phase, in which a homogeneous chiral condensate breaks chiral symmetry spontaneously; a massless symmetric phase with vanishing condensate; and most interestingly an inhomogeneous phase with a condensate, which oscillates in the spatial direction. In the present work we use chiral lattice fermions (naive fermions and SLAC fermions) to simulate the GN model with 2, 8, and 16 flavors. The results obtained with both discretizations are in agreement. Similarly as for Nf→∞ we find three distinct regimes in the phase diagram, characterized by a qualitatively different behavior of the two-point function of the condensate field. For Nf=8 we map out the phase diagram in detail and obtain an inhomogeneous region smaller as in the limit Nf→∞, where quantum fluctuations are suppressed. We also comment on the existence or absence of Goldstone bosons related to the breaking of translation invariance in 1+1 dimensions.
Y1  - 2020
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/82538
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-825381
SN  - 2470-0029
SN  - 2470-0010
VL  - 101
IS  - 9, 094512
PB  - American Physical Society
CY  - Ridge, NY
ER  -