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Prog. Theor. Phys. Vol. 56 No. 3 (1976) pp. 926-937

Extended Particle and Renormalization of Fluctuation

Masataka Hosoda, Hiroshi Kozakai and Tadayoshi Shimizu^*

Department of Physics, Tokyo Metropolitan University, Setagaya, Tokyo
^*Department of Radiation, Komazawa University, Setagaya, Tokyo

(Received March 17, 1976)

Abstract:

The perturbation theory around the classical aolution of two dimensional non-linear field equation is developed by using the collective coordinate method of Gervais, Jevicki and Sakita (GJS). In contrast to GJS, the separation of the soliton degree of freedom is made Lorentz invariant. As an example of such calculation the soliton energy for a fixed momentum is computed explicitly up to one loop in the φ⁴-field theory. It is shown that the fluctuation around the kink solution makes a finite contribution to the quantum correction for the mass of soliton since all ultraviolet divergences can be removed by renormalization. Discussions about the formulation and its results are given, compared with those of GJS.

URL : http://ptp.ipap.jp/link?PTP/56/926/
DOI : 10.1143/PTP.56.926

[ Full Text PDF : FREE ACCESS (822K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 59 No. 6 (1978) pp. 2080-2095 :

   Conversion of Isospin Degree of Freedom into Spin Degree of Freedom

   Masataka Hosoda and Hiroshi Kozakai

2. Progress of Theoretical Physics Vol. 63 No. 3 (1980) pp. 1024-1039 :

   Quantization of the Soliton as the Extended Particle

   Shiro Hirai

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