The partition function of a degenerate functional
Copyright policy )The partition function of a degenerate functional
The partition function of a degenerate quadratic functional is defined and studied. It is shown that Ray-Singer invariants can be interpreted as partition functions of quadratic functionals. In the case of a degenerate non-quadratic functional the semiclassical approximation to the partition function is considered.
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Applications of PDEs on manifolds, instanton contribution in Schwinger functions, gauge conditions, partition function of action, 58G10, infinite-dimensional group of local gauge transformations, Axiomatic quantum field theory; operator algebras, Linear symmetric and selfadjoint operators (unbounded), selfadjoint operators, Ray-Singer torsion, elliptic differential operators on manifolds, Differential complexes, gauge theories, anomalies, 81E99, Spectrum, resolvent, Global differential geometry, quantum field theory, degenerate Lagrangians, determinant of infinite dimensional operators, degenerate quadratic functional, trace class operator
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Applications of PDEs on manifolds, instanton contribution in Schwinger functions, gauge conditions, partition function of action, 58G10, infinite-dimensional group of local gauge transformations, Axiomatic quantum field theory; operator algebras, Linear symmetric and selfadjoint operators (unbounded), selfadjoint operators, Ray-Singer torsion, elliptic differential operators on manifolds, Differential complexes, gauge theories, anomalies, 81E99, Spectrum, resolvent, Global differential geometry, quantum field theory, degenerate Lagrangians, determinant of infinite dimensional operators, degenerate quadratic functional, trace class operator
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