Chiral symmetry and functional integral

Journal Article · Mon Oct 15 04:00:00 EDT 1984 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(84)90065-4· OSTI ID:6247160

Gamboa Saravi, R E; Muschietti, M A; Schaposnik, F A; Solomin, J E

The change in the fermionic functional integral measure under chiral rotations is analyzed. Using the zeta-function method, the evaluation of chiral Jacobians to theories including non-hermitian Dirac operators D, can be extended in a natural way. (This being of interest, for example, in connection with the Weinberg-Salam model or with the relativistic string theory). Results are compared with those obtained following other approaches, the possible discrepancies are analyzed and the equivalence of the different methods under certain conditions on D is proved. Also shown is how to compute the Jacobian for the case of a finite chiral transformation and this result is used to develop a sort of path-integral version of bosonization in d = 2 space-time dimensions. This result is used to solve in a very simple and economical way relevant d = 2 fermionic models. Furthermore, some interesting features in connection with the theta-vacuum in d = 2,4 gauge theories are discussed.

• Research Organization: Departamento de Fisico, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Comision de Investgaciones Cientificas de la Provincia de Buenos Aires, Argentina
• OSTI ID: 6247160
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 157:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
DIRAC OPERATORS
FERMIONS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
HERMITIAN OPERATORS
INTEGRALS
INVARIANCE PRINCIPLES
JACOBIAN FUNCTION
LAGRANGIAN FUNCTION
MATHEMATICAL OPERATORS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SYMMETRY