Causality principle in the problem of reduction to a single time in quantum field theory

Journal Article · Fri Jul 01 04:00:00 EDT 1988 · Theor. Math. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01018210· OSTI ID:5869206

Arkhipov, A A

Among the fundamental principles of local quantum field theory, the causality principle plays an important part. The careful analysis of the causality principle made by Bogolyubov enabled him to prove fundamental theorems on the analyticity of the amplitudes of physical processes and on this basis give a rigorous derivation of dispersion relations. We wish to show how allowance for the causal and spectral properties of local quantum field theory enable one to carry out the single-time reduction of the Bethe-Salpeter wave equation.

• Research Organization: Institute of High Energy Physics, Serpukhov (USSR)
• OSTI ID: 5869206
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 74:1; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BBGKY EQUATION
BETHE-SALPETER EQUATION
BOSON EXPANSION
BOSON-EXCHANGE MODELS
CAUSALITY
DIFFERENTIAL EQUATIONS
DYSON REPRESENTATION
EQUATIONS
EXPECTATION VALUE
FIELD THEORIES
FUNCTIONS
HEISENBERG PICTURE
INTEGRAL EQUATIONS
INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATRIX ELEMENTS
OBE MODEL
PARTICLE INTERACTIONS
PARTICLE MODELS
PERIPHERAL MODELS
QUANTUM FIELD THEORY
QUASIPOTENTIAL EQUATION
SCALAR FIELDS
SCATTERING AMPLITUDES
SPECTRA
TIME DEPENDENCE
TWO-BODY PROBLEM
WAVE FUNCTIONS