Short-time perturbation theory and nonrelativistic duality

Journal Article · Mon Aug 01 04:00:00 EDT 1983 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.28.597· OSTI ID:5886218

Whitenton, J B; Durand, B; Durand, L

We give a simple proof of the nonrelativistic duality relation roughly-equal for appropriate energy averages of the cross sections for e/sup +/e/sup -/..-->..(qq-bar bound states) and e/sup +/e/sup -/..-->..(free qq-bar pair), and calculate the corrections to the relation by relating W/sup 2/sigma to the Fourier transform of the Feynman propagation function and developing a short-time perturbation series for that function. We illustrate our results in detail for simple power-law potentials and potentials which involve combinations of powers.

• Research Organization: Physics Department, University of Wisconsin Madison, Madison, Wisconsin 53706
• OSTI ID: 5886218
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 28:3; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
ELECTROSTATICS
FIELD THEORIES
GENERAL RELATIVITY THEORY
HAMILTONIANS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
PARTICLE PROPERTIES
POTENTIALS
PROPAGATOR
QUANTUM OPERATORS
RELATIVITY THEORY
SCALAR FIELDS
SPIN