Quantization of a soliton solution in a (3 + 1)-dimensional model of a scalar field with self-interaction involving derivatives

Journal Article · Tue Mar 01 04:00:00 EST 1988 · Theor. Math. Phys.; (United States)

OSTI ID:6447067

Sveshnikov, K A; Tverskoi, V B

A soliton solution is constructed in a (3 + 1)-dimensional model of a scalar field with self-interaction involving derivatives. This solution is quantized by directly solving by perturbation theory the quantum Cauchy problem for the Heisenberg field equation; it is shown that zero modes and secular terms associated with them arise from the perturbation-theory expansion of the Bogolyubov operator argument of the classical component and can be taken into account by introducing appropriate corrections to this argument. The interaction of the soliton with the field of secondary quanta is investigated by means of the Lehmann-Symanzik-Zimmermann procedure.

• Research Organization: State Univ., Moscow (USSR)
• OSTI ID: 6447067
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 72:3; 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
BOGOLYUBOV TRANSFORMATION
CANONICAL TRANSFORMATIONS
CAUCHY PROBLEM
CLASSICAL MECHANICS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
HEISENBERG PICTURE
INTERACTIONS
LIE GROUPS
MECHANICS
PERTURBATION THEORY
POINCARE GROUPS
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUASI PARTICLES
SCALAR FIELDS
SOLITONS
SPACE-TIME
SYMMETRY GROUPS
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS