Published May 1994
| Version v1
Journal article
Effective action in spherical domains
Description
The effective action on an orbifolded sphere is computed for minimally coupled scalar fields. The results are presented in terms of derivatives of Barnes ζ-functions and it is shown how these may be evaluated. Numerical values are shown. An analytical, heat-kernel derivation of the Cesaro-Fedorov formula for the number of symmetry planes of a regular solid is also presented. (orig.)
Additional details
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 162
- Journal Issue
- 3
- Journal Page Range
- p. 633-647.
- ISSN
- 0010-3616
- CODEN
- CMPHAY
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 25075309
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ACTION INTEGRAL; ASYMPTOTIC SOLUTIONS; BOUNDARY CONDITIONS; COUPLING; DIFFERENTIAL CALCULUS; DIRICHLET PROBLEM; EIGENVALUES; KERNELS; LAGRANGIAN FIELD THEORY; LAPLACIAN; ORBITS; RIEMANN FUNCTION; RIEMANN SPACE; SCALAR FIELDS; SCALING LAWS; SMOOTH MANIFOLDS; SPACE GROUPS; STRING MODELS; SYMMETRY; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- BOUNDARY-VALUE PROBLEMS; EXTENDED PARTICLE MODEL; FIELD THEORIES; FUNCTIONS; INTEGRALS; MATHEMATICAL MANIFOLDS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; PARTICLE MODELS; QUANTUM FIELD THEORY; SPACE; SYMMETRY GROUPS