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Prog. Theor. Phys. Vol. 81 No. 2 (1989) pp. 462-472

[ Full Text PDF : FREE ACCESS (499K) ]

On Classical Configurations of SU(2) Gauge-Higgs System

Kazuyuki Fujii, Shoichiro Otsuki* and Fumihiko Toyoda**

Department of Mathematics, Kyushu University 33, Fukuoka 812
*Department of Physics, Kyushu University 33, Fukuoka 812
**Department of Liberal Arts, Kinki University, Iizuka 820

(Received July 18, 1988)

Abstract:

Two classical static configurations of the SU(2) gauge-Higgs system are known: the sphaleron and the string-monopole configuration. In addition, a third configuration, new sphaleron, has been conjectured to exist. A series of field configurations at spatial infinity is examined, such that the ansatz for the sphaleron and that for the string-monopole configuration are given by the n = 2 and n = 1 sectors of the series respectively and the n = 4 sector is the ansatz for the new sphaleron. A specific gauge transformation, which is singular and relates the Dirac and the 't Hooft-Polyakov monopoles, and Hopf projection map, which induces noncontractable structure in field configuration space, are investigated to produce the series. It is conjectured that the SU(2) gauge-Higgs system might admit more classical configurations. A peculiar property of the sphaleron that, in spite of sitting at a saddle point of energy, it enjoys maximal symmetry of the gauge-Higgs system is discussed.


URL : http://ptp.ipap.jp/link?PTP/81/462/
DOI : 10.1143/PTP.81.462

[ Full Text PDF : FREE ACCESS (499K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 83 No. 1 (1990) pp. 118-133 :
    Sphalerons of O(3) Nonlinear Sigma Model on a Circle
    Koichi Funakubo, Shoichiro Otsuki and Fumihiko Toyoda
  2. Progress of Theoretical Physics Vol. 83 No. 2 (1990) pp. 286-304 :
    Zero-Mode Contribution to Free Energy of Classical Solution at Finite Temperature
    Koichi Funakubo

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