Vacuum Polarization in Uniform Nonabelian Gauge Fields
Mar, 197942 pages
Published in:
- Nucl.Phys.B 157 (1979) 285,
- Nucl.Phys.B 172 (1980) 544 (erratum)
- Published: 1979
Report number:
- RLO-1388-773
Citations per year
Abstract: (Elsevier)
There are precisely two gauge-inequivalent kinds of non-Abelian vector potentials which produce “uniform fields” in the sense that all gauge-invariant combinations are constant in space-time. The first kind is gauge equivalent to a constant Abelian field with a linear potential. The second kind is gauge equivalent to a constant, non-commuting potential. Particular vector potentials of the second kind illustrate the Wu-Yang ambiguity. They give a field strength which is identical to that produced by potentials of the first kind. We demonstrate the distinction between the two potentials by showing that they give rise to completely different motions of a classical particle. The effects of a constant vector potential of the second kind on quantized matter fields are displayed by the resulting vacuum polarization. We compute these one-loop amplitudes to all orders in the constant external potential for spin-0 particles of isospin 1 2 and 1 and for spin − 1 2 particles with isospin − 1 2 . The constant vector potential may be described by parameters in a three-dimensional space. We find that there are two-dimensional surfaces in this space of potentials which divide it into domains of vacuum stability and domains of vacuum instability where the vacuum decays under the production of pairs of particles.- GAUGE FIELD THEORY: VACUUM POLARIZATION
- VACUUM POLARIZATION: GAUGE FIELD THEORY
- GAUGE FIELD THEORY: NONABELIAN
- GAUGE FIELD THEORY: SU(2)
- POTENTIAL: VECTOR
- GROUP THEORY: LIE
- FIELD THEORY: EFFECTIVE LAGRANGIANS
- RENORMALIZATION GROUP
- ANALYTIC PROPERTIES
- NUMERICAL CALCULATIONS
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