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Prog. Theor. Phys. Vol. 84 No. 6 (1990) pp. 1196-1211

Sphaleron Transition of Reduced O(3) Nonlinear Sigma Model

Koichi Funakubo, Shoichiro Otsuki^* and Fumihiko Toyoda^**

Department of Physics, Saga University, Saga 840
^*Department of Physics, Kyushu University 33, Fukuoka 812
^**Department of Liberal Arts, Kinki University in Kyushu, Iizuka 820

(Received June 15, 1990)

Abstract:

By introducing an ansatz, infinite degrees of field freedom of the 1+1 dimensional O(3) nonlinear sigma model are reduced to a single one along the noncontractible loop parameter. The mechanism is examined how the quantum-statistical transition rate of the reduced model by quantum tunneling at low temperatures turns smoothly into that by thermal activation at high temperatures. Such a transition pattern is considered to simulate that of the electroweak theory. At high temperatures, where the transition rate of the reduced model is able to be compared with the field theoretical one, corrections from the field theoretical zero-mode factor and entropy term are found to play a minor role in numerical results.

URL : http://ptp.ipap.jp/link?PTP/84/1196/
DOI : 10.1143/PTP.84.1196

[ Full Text PDF : FREE ACCESS (829K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 87 No. 3 (1992) pp. 663-678 :

   Formulation of Baryon Number Violating Collisions

   Koichi Funakubo, Shoichiro Otsuki, Kazunori Takenaga and Fumihiko Toyoda

2. Progress of Theoretical Physics Vol. 89 No. 4 (1993) pp. 881-893 :

   Scattering with Baryon Number Violation

   Koichi Funakubo, Shoichiro Otsuki, Kazunori Takenaga and Fumihiko Toyoda

3. Progress of Theoretical Physics Vol. 90 No. 4 (1993) pp. 885-893 :

   The Improved Bounce Solution of SU(2)-Higgs Model

   Yuji Kobayashi

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