COMPUTATION OF THE DEWITT-SEELEY-GILKEY COEFFICIENT E-4 FOR NONMINIMAL OPERATOR IN CURVED SPACE

Authors
GUSYNIN VP KORNYAK VV
Citation
Vp. Gusynin et Vv. Kornyak, COMPUTATION OF THE DEWITT-SEELEY-GILKEY COEFFICIENT E-4 FOR NONMINIMAL OPERATOR IN CURVED SPACE, Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment, 389(1-2), 1997, pp. 365-369
Citations number
13
Categorie Soggetti
Nuclear Sciences & Tecnology","Physics, Particles & Fields","Instument & Instrumentation",Spectroscopy
Journal title
Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment → ACNP
ISSN journal
01689002
Volume
389
Issue
1-2
Year of publication
1997
Pages
365 - 369
Database
ISI
SICI code
0168-9002(1997)389:1-2<365:COTDCE>2.0.ZU;2-7
Abstract
The demands of gauge held theories, quantum theory in external gauge a nd gravitational backgrounds, and quantum gravity have spurred intense study of the asymptotic heat kernel expansion for nonminimal differen tial operators on curved manifolds in the presence of a gauge field. T here are several computer programs for calculating the coefficients in an expansion of the heat kernel. When applied to the nonminimal opera tor these programs appeared to be able to compute no more than the sec ond order coefficient. We report the first complete calculation of the fourth coefficient for nonminimal operator. The calculation has been carried out on PC with the help of a program written in C. Some other new results have been also obtained by this program.