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Path-integral quantization of solitions using the zero-mode Feynman rule
Phys. Rev. D 17, 2595 – Published 15 May, 1978
DOI: https://doi.org/10.1103/PhysRevD.17.2595
Abstract
We propose a direct expansion treatment to quantize solitons without collective coordinates. Feynman's path integral for a free particle subject to an external force is directly used as the generating functional for the zero-frequency mode. The generating functional has no infrared singularity and defines a zero-mode Feynman rule which also gives a correct perturbative expansion for the harmonic-oscillator Green's function by treating the quadratic potential as a perturbation. We use the zero-mode Feynman rule to calculate the energy shift due to the second-order quantum corrections for solitons. Our result agrees with previous predictions using the collective-coordinate method or the method of Goldstone and Jaćkiw.
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