Nonabelian Gauge Fields and Nonrelativistic Bound States
May, 197713 pages
Published in:
- Phys.Rev.Lett. 39 (1977) 316
Report number:
- MIT-CTP-632
Citations per year
Abstract: (APS)
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.- GAUGE FIELD THEORY: NONABELIAN
- FIELD THEORETICAL MODEL: YANG-MILLS
- NONRELATIVISTIC: BOUND STATE
- ANTIFERMION FERMION: BOUND STATE
- QUANTIZATION
- TRANSFORMATION: FOLDY-WOUTHUYSEN
- FEYNMAN GRAPH: HIGHER-ORDER
- BETHE-SALPETER EQUATION
- POTENTIAL: COULOMB
- PERTURBATION THEORY
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