Validity of various approximations for the Bethe-Salpeter equation and their WKB quantization

Journal Article · Tue May 15 00:00:00 EDT 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.29.2275· OSTI ID:7097614

Silvestre-Brac, B; Bilal, A; Gignoux, C; Schuck, P

The validity of the instantaneous approximation for the Bethe-Salpeter equation is questioned within the framework of the simple scalar-scalar model of Cutkosky. Detailed numerous results for various approximations are compared to the exact ones. WKB quantization is applied to these relativistic approximations. An unexpected question arises: is the currently used Bethe-Salpeter equation (i.e., the ladder approximation) well suited to describe two interacting relativistic particles.

• Research Organization: Institut des Sciences Nucleaires, 53, Avenue des Martyrs 38026 Grenoble-Cedex, France
• OSTI ID: 7097614
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 29:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
COUPLING CONSTANTS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
INTERACTIONS
LADDER APPROXIMATION
MASSLESS PARTICLES
PARTICLE INTERACTIONS
PHOTONS
POSTULATED PARTICLES
PROPAGATOR
QUARKS
RELATIVITY THEORY
SCALAR FIELDS
WKB APPROXIMATION