Generalized zeta-function regularization

Generalized zeta-function regularization

A generalized zeta-function regularization is considered for computation of the superdeterminant of a matrix of differential operators in the case of a continuous spectrum. It is shown that in the general case the method makes use of a complete set of eigenfunctions of a certain system of integrodif...

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Veröffentlicht in:Sov. Phys. J. (Engl. Transl.); (United States) 1987-05, Vol.30 (5), p.359-362
1. Verfasser: Lavrov, P. M.
Format: Artikel
Sprache:eng
Schlagworte:
645400 - High Energy Physics- Field Theory
BANACH SPACE
CORRECTIONS
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EIGENVALUES
EQUATIONS
FIELD THEORIES
FUNCTIONS
HILBERT SPACE
INTEGRAL EQUATIONS
LAGRANGIAN FUNCTION
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATRICES
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPACE
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Beschreibung
Zusammenfassung:A generalized zeta-function regularization is considered for computation of the superdeterminant of a matrix of differential operators in the case of a continuous spectrum. It is shown that in the general case the method makes use of a complete set of eigenfunctions of a certain system of integrodifferential equations.
ISSN:0038-5697
1573-9228
DOI:10.1007/BF00900080