Self-dual model of SU (2) gauge theory in a space-time with axial symmetry
✍ Scribed by G Zet; V Manta
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 483 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0895-7177
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✦ Synopsis
gauge theory with the gauge fields coupled to the scalar fields +I,& 1s constructed m terms of local gauge-Invariant variables defined over a four-dlmenslonal space-time endowed with axial symmetry A metric tensor gtiv 1s defined startmg with the components F,$ of the strength tensor and Its dual F;4, The components gfiy are Interpreted as new local gauge-invariant variables Imposmg the supplementary condltlon that the new metric comcldes with the mltlal metric, we obtam the Bogomolny equations for the considered ansatz The metric gpv assures the property of self-duahty for our gauge theory It 1s concluded that the self-dual variables are compatible with the axial symmetry of the space-time An analytlcal solution of the gauge field equations 1s also obtamed All the calculations were performed using the GRTensorII computer algebra package, runmng on the MapleV platform Finally, we plot the component go0 of the new metric and give this program