Quantum theory of the soliton in a nonrigid gauge

Ohta, K.

doi:10.1016/0375-9474(90)90114-2

Quantum theory of the soliton in a nonrigid gauge

K. Ohta
(
- Tokyo U.
)

1990

23 pages

Published in:

Nucl.Phys.A 511 (1990) 620-642

Published: 1990

DOI:

10.1016/0375-9474(90)90114-2

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Abstract: (Elsevier)

We present a quantized theory of the soliton in one space and one time dimension, extending a nonrigid gauge condition first developed by Verscheide for rotating skyrmions. We show that meson wavefunctions in continuum obtained from the background scattering contain zero-mode components. The nonrigid gauge is so defined that all zero-mode components are eliminated from quantum fluctation. Using the obtained hamiltonian, we calculate meson-soliton scattering amplitudes. We show that the sum of the background scattering amplitude and the perturbative corrections induced by the meson-soliton linear coupling exactly reproduces the Born amplitude calculated in conventional models with an explicit Yukawa coupling.

field equations: soliton
Hamiltonian formalism
phi**n model: 4
dimension: 2
sine-Gordon equation
quantization
expansion: coupling constant
coupling constant: expansion
perturbation theory
scattering amplitude: meson soliton

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