Non-Abelian gauge fields and nonrelativistic bound states

Journal Article · Mon Aug 08 04:00:00 EDT 1977 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.39.316· OSTI ID:7319180

Feinberg, F L

The second-quantized Coulomb-gauge Hamiltonian for any nonrelativistic system of fermions minimally coupled to non-Abelian gauge fields is derived by performing successive non-Abelian Foldy-Wouthuysen transformations. In this general formalism, a detailed analysis is made of threshold fermion-antifermion bound states in the weak-coupling limit and the form of the two-loop nonrelativistic Bethe-Salpeter kernel is determined. This kernel gives a static potential independent of the fermion mass, but only for singlet states of the gauge group.

• Research Organization: Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
• OSTI ID: 7319180
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 39:6; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BOUND STATE
CANONICAL TRANSFORMATIONS
CORRECTIONS
COULOMB CORRECTION
COUPLING CONSTANTS
FERMIONS
FOLDY-WOUTHUYSEN TRANSFORM
GAUGE INVARIANCE
HAMILTONIANS
INTERACTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
PERTURBATION THEORY
PROPAGATOR
QUANTUM OPERATORS
RENORMALIZATION
SECOND QUANTIZATION
STRONG INTERACTIONS