Krein structures for Wightman and Schwinger functions

Journal Article · Sun May 01 04:00:00 EDT 1988 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527965· OSTI ID:5374171

Jakobczyk, L; Strocchi, F

For quantum field theories that do not satisfy the Wightman positivity condition, a Hilbert space structure condition is proposed, which guarantees a Krein structure for the space of states associated to the Wightman functions. The analogous problem for the Schwinger function is also discussed, as well as the conditions that ensure the analytic continuation of a Krein structure in the Euclidean case and vice versa. The Gupta--Bleuler formulation of free quantum electrodynamics is discussed as an example.

• Research Organization: International School for Advanced Studies, Trieste, Italy
• OSTI ID: 5374171
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 29:5; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIOMATIC FIELD THEORY
BANACH SPACE
ELECTRODYNAMICS
FIELD THEORIES
HILBERT SPACE
INFRARED DIVERGENCES
MATHEMATICAL SPACE
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
SPACE
WIGHTMAN FIELD THEORY