Ambiguities in the Thirring model under chiral rotations

Journal Article · Sat Aug 15 00:00:00 EDT 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.36.1282· OSTI ID:6456672

Carneiro, C E.I.; Mignaco, J A; Thomaz, M T

We study how different parametrizations of the Thirring model behave under finite chiral rotations with the zeta-function regularization for the fermion determinant. We show that in some cases the contribution from the chiral Jacobian may change the sign of the factor which multiplies the quadratic term in the auxiliary field leading to an exponentially divergent theory. We also propose how this problem could be remedied by exploiting the invariance of the theory under finite renormalizations.

• Research Organization: Instituto de Estudos Avancados, Centro Tecnico Aeroespacial 12200 So Jose dos Campos, So Paulo, Brazil
• OSTI ID: 6456672
• Journal Information: Phys. Rev. D; (United States), Vol. 36:4
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
THIRRING MODEL
CHIRAL SYMMETRY
RENORMALIZATION
JACOBIAN FUNCTION
LAGRANGIAN FUNCTION
QUANTUM OPERATORS
FUNCTIONS
MATHEMATICAL OPERATORS
SYMMETRY
645400* - High Energy Physics- Field Theory