Published January 2006 | Version v1
Journal article Metadata-only

Solving Bethe-Salpeter equation in Minkowski space

Creators

  • 1. Lebedev Physical Institute, Moscow (Russian Federation)
  • 2. Laboratoire de Physique Subatomique et Cosmologie, Grenoble (France)

Description

We develop a new method of solving the Bethe-Salpeter (BS) equation in Minkowski space. It is based on projecting the BS equation on the light-front (LF) plane and on the Nakanishi integral representation of the BS amplitude. This method is valid for any kernel given by the irreducible Feynman graphs. For massless ladder exchange, our approach reproduces analytically the Wick-Cutkosky equation. For massive ladder exchange, the numerical results coincide with the ones obtained by Wick rotation. (orig.)

Availability note (English)

Available from: http://dx.doi.org/10.1140/epja/i2005-10193-0

Additional details

Identifiers

DOI
10.1140/epja/i2005-10193-0;

Publishing Information

Journal Title
European Physical Journal. A
Journal Volume
27
Journal Issue
1
Journal Page Range
p. 1-9
ISSN
1434-6001

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
37038810
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
AMPLITUDES; ANALYTICAL SOLUTION; BETHE-SALPETER EQUATION; BOUND STATE; COUPLING CONSTANTS; FEYNMAN DIAGRAM; INTEGRALS; KERNELS; LADDER APPROXIMATION; LIGHT CONE; MASSLESS PARTICLES; MINKOWSKI SPACE; REST MASS
Descriptors DEC
APPROXIMATIONS; CALCULATION METHODS; DIAGRAMS; ELEMENTARY PARTICLES; EQUATIONS; INFORMATION; MASS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; SPACE; SPACE-TIME