Thies M (2020)
Publication Type: Journal article
Publication year: 2020
Book Volume: 101
Journal Issue: 1
DOI: 10.1103/PhysRevD.101.014010
The phase diagram of the two-dimensional Nambu-Jona-Lasinio model with isospin is explored in the large N-c limit with semiclassical methods. We consider finite temperature and include chemical potentials for all conserved charges. In the chiral limit, a full analytical solution is presented, expressed in terms of known results for the single-flavor Gross-Neveu and Nambu-Jona-Lasinio models. A novel crystalline structure appears and is shown explicitly to be thermodynamically more stable than the homogeneous phase at zero temperature. If we include a bare fermion mass, the problem reduces again to solved problems in one-flavor models provided that either the fermionic or the isospin chemical potentials vanish. In the general case, a stability analysis is used to construct the perturbative phase boundary between homogeneous and inhomogeneous phases. This is sufficient to get a good overview of the complete phase diagram. Missing nonperturbative phase boundaries requiring a full numerical Hartree-Fock calculation will be presented in future work.
APA:
Thies, M. (2020). Phase structure of the (1+1)-dimensional Nambu-Jona-Lasinio model with isospin. Physical Review D, 101(1). https://dx.doi.org/10.1103/PhysRevD.101.014010
MLA:
Thies, Michael. "Phase structure of the (1+1)-dimensional Nambu-Jona-Lasinio model with isospin." Physical Review D 101.1 (2020).
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