Thies M (2020)
Publication Type: Journal article
Publication year: 2020
Book Volume: 102
Article Number: 096006
Journal Issue: 9
DOI: 10.1103/PhysRevD.102.096006
We consider a version of the Gross-Neveu model in 1+1 dimensions with discrete chiral and continuous flavor symmetry (isospin). In 2+1 dimensions, this model is known as the chiral Heisenberg-Gross-Neveu model. Spontaneous symmetry breaking and the emergence of two massless and one massive scalar bosons are shown. A duality to the Nambu-Jona-Lasinio model with isospin is exhibited, provided that the isovector pseudoscalar mean field is constrained to a plane in isospin space. This enables us to find the phase diagram as a function of temperature, chemical potential, and isospin chemical potential as well as twisted kinks. A bare mass term acts quite differently when added to this model as compared to other chiral variants of the Gross-Neveu model.
APA:
Thies, M. (2020). Duality study of the chiral Heisenberg-Gross-Neveu model in 1+1 dimensions. Physical Review D, 102(9). https://dx.doi.org/10.1103/PhysRevD.102.096006
MLA:
Thies, Michael. "Duality study of the chiral Heisenberg-Gross-Neveu model in 1+1 dimensions." Physical Review D 102.9 (2020).
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