Calorons in the Weyl gauge

被引:5
作者
Dunne, GV [1 ]
Tekin, B
机构
[1] Univ Connecticut, Dept Phys, Storrs, CT 06269 USA
[2] Univ Oxford, Oxford OX1 3NP, England
关键词
D O I
10.1103/PhysRevD.63.085004
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We demonstrate by explicit construction that while the untwisted Harrington-Shepard caloron A(mu) is manifestly periodic in Euclidean time, with a period beta =1/T, when transformed to the Weyl (A(0)=0) gauge, the caloron gauge field A(i) is periodic only up to a large gauge transformation, with the winding number equal to the caloron's topological charge. This helps clarify the tunneling interpretation of these solutions, and their relation to Chem-Simons numbers and winding numbers.
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页数:8
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