FUNCTIONAL DETERMINANTS ON MANDELSTAM DIAGRAMS
Feb 10, 198929 pages
Published in:
- Commun.Math.Phys. 124 (1989) 629-645
DOI:
Report number:
- UCLA/88/TEP/39
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Abstract: (Springer)
We investigate the special properties of Mandelstam metrics in regard to changing weights in path integrals and relations between determinants of different spins. Regularizations of determinants are discussed along the lines of Sonoda. Weyl anomalies developing at zeroes of metrics in reparametrization invariant regularizations are evaluated in terms of Arakelov metrics. Holomorphic forms are constructed, and determinant identities for Arakelov and Mandelstam metrics rigorously established for any weight and generic even and odd spin structures.- MODEL: STRING
- FIELD THEORY: PATH INTEGRAL
- SCATTERING AMPLITUDE
- OPERATOR: DETERMINANT
- DETERMINANT: REGULARIZATION
- FIELD THEORY: LIOUVILLE
- ANOMALY: WEYL
- MATHEMATICAL METHODS: Riemann surface
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