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Prog. Theor. Phys. Vol. 84 No. 6 (1990) pp. 1100-1107
Phase Transition and String Formation in Six-Dimensional Gauge Theory
Atsushi Nakamura and
Kiyoshi Shiraishi*
Department of Physics, Tokyo Metropolitan University, Tokyo 158
*Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188
(Received June 28, 1990)
Abstract:
We consider an SU(2) gauge theory in six-dimensions. We show that there exists non-trivial structure of gauge vacua in compactified background M4×S2. In this circumstances, there can exist a cosmic string, whose solution is recently constructed by the present authors. We consider the stage of the formation of the strings, i.e., the phase transition of the gauge configuration on the sphere in the “hot” early universe. We find that if SU(2)-doublet fermions are the dominant component of the radiation at high temperatures, the phase transition successively occurs after the spontaneous-compactification transition. Otherwise, non-trivial vacuum with “monopole” configuration of the SU(2) gauge field never appears globally and strings must be formed at the same time as the extra space is compactified.
URL :
http://ptp.ipap.jp/link?PTP/84/1100/
DOI : 10.1143/PTP.84.1100
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Citing Article(s) :
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Progress of Theoretical Physics Supplement No.110 (1992) pp. 179-190
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What is the Role of Torsion in the Universe?
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Takehiko T. Fujishiro, Mitsuo J. Hayashi and Shoji Takeshita
