Quantum Perturbation Theory of Solitons

Callan, Curtis G., Jr.; Gross, David J.

doi:10.1016/0550-3213(75)90150-9

Quantum Perturbation Theory of Solitons

Curtis G. Callan, Jr.
(
- Princeton U.
)
,
David J. Gross
(
- Princeton U.
)

Apr, 1975

27 pages

Published in:

Nucl.Phys.B 93 (1975) 29-55

Published: 1975

DOI:

10.1016/0550-3213(75)90150-9

Report number:

Print-75-0309 (PRINCETON)

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Abstract: (Elsevier)

We develop a systematic perturbation theory for amplitudes involving a single soliton (extended finite energy solution of a classical field theory). These methods allow one in principle to compute to any desired order quantum corrections to soliton masses, form factors and Green functions. The major technical problem encountered is an infrared divergence of the naive perturbation theory rules. This divergence is dominated by a modification of the usual functional methods so as to properly define the soliton as a momentum eigenstate. The extension of these methods to soliton-soliton scattering is discussed.

PERTURBATION THEORY
MODEL: FIELD THEORY
MODEL: SOLITON
CORRECTION: MASS
MASS: CORRECTION
CORRECTION: FORM FACTOR
FORM FACTOR: CORRECTION
FIELD THEORY: INFRARED PROBLEM
FIELD THEORY: EFFECTIVE LAGRANGIANS