On the duality condition for quantum fields

Journal Article · Mon Mar 01 04:00:00 EST 1976 · J. Math. Phys. (N.Y.), v. 17, no. 3, pp. 303-321

DOI:https://doi.org/10.1063/1.522898· OSTI ID:4075342

Bisognano, J J; Wichmann, E H

A general quantum field theory is considered in which the fields are assumed to be operator-valued tempered distributions. The system of fields may include any number of boson fields and fermion fields. A theorem which relates certain complex Lorentz transformations to the TCP transformation is stated and proved. With reference to this theorem, duality conditions are considered, and it is shown that such conditions hold under various physically reasonable assumptions about the fields. Extensions of the algebras of field operators are discussed with reference to the duality conditions. Local internal symmetries are discussed, and it is shown that these commute with the Poincare group and with the TCP transformation. (AIP)

• Research Organization: Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-027886
• OSTI ID: 4075342
• Journal Information: J. Math. Phys. (N.Y.), v. 17, no. 3, pp. 303-321, Journal Name: J. Math. Phys. (N.Y.), v. 17, no. 3, pp. 303-321; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

*QUANTUM FIELD THEORY-- DUALITY
641300*
ALGEBRA
BOSONS
CPT THEOREM
FERMIONS
INVARIANCE PRINCIPLES
LORENTZ TRANSFORMATIONS
N76200* --Physics (Theoretical)--Quantum Field Theories
P INVARIANCE
POINCARE GROUPS
QUANTUM OPERATORS