Computation of the Quantum Effects Due to a Four-Dimensional Pseudoparticle

't Hooft, Gerard

doi:10.1103/PhysRevD.14.3432

Computation of the Quantum Effects Due to a Four-Dimensional Pseudoparticle

Gerard 't Hooft
(
- Harvard U.
)

Jun, 1976

59 pages

Part of Instantons in gauge theories, 70-89

Published in:

Phys.Rev.D 14 (1976) 3432-3450,
Phys.Rev.D 18 (1978) 2199 (erratum)

DOI:

Report number:

PRINT-76-0551 (HARVARD)

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Abstract: (APS)

A detailed quantitative calculation is carried out of the tunneling process described by the Belavin-Polyakov-Schwarz-Tyupkin field configuration. A certain chiral symmetry is violated as a consequence of the Adler-Bell-Jackiw anomaly. The collective motions of the pseudoparticle and all contributions from single loops of scalar, spinor, and vector fields are taken into account. The result is an effective interaction Lagrangian for the spinors.

gauge field theory: SU(2)
fermion: field theory
path integral
field equations: instanton
symmetry: O(4)
angular momentum
spin
collective phenomena
perturbation theory: higher-order
symmetry: dilaton

References(13)

Figures(0)

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