Axiomatics of Galileo-invariant quantum field theory

Journal Article · Sat Mar 01 04:00:00 EST 1986 · Theor. Math. Phys.; (United States)

OSTI ID:5083840

Dadashev, L A

The aim of this paper is to construct the axiomatics of Galileo-invariant quantum field theory. The importance of this problem is demonstrated from various points of view: general properties that the fields and observables must satisfy are considered; S-matrix nontriviality of one such model is proved; and the differences from the relativistic case are discussed. The proposed system of axioms is in many respects analogous to Wightman axiomatics, but is less general. The main result is contained in theorems which describe the admissible set of initial fields and total Hamiltonians, i.e., precisely the two entities that completely determine interacting fields. The author considers fields that prove the independence of some axioms.

• Research Organization: Institute of Physics, Azerbaidzhan SSR Academy of Sciences
• OSTI ID: 5083840
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 64:3; ISSN TMPHA
• 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
COMMUTATION RELATIONS
FIELD THEORIES
FOCK REPRESENTATION
GALILEI TRANSFORMATIONS
HAMILTONIANS
INVARIANCE PRINCIPLES
INVARIANT IMBEDDING
MATHEMATICAL OPERATORS
MATRICES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
S MATRIX
SYMMETRY GROUPS
TRANSFORMATIONS
UNITARITY