RENORMALIZATION OF TOPOLOGICAL FIELD-THEORY

被引:88
作者
BIRMINGHAM, D
RAKOWSKI, M
THOMPSON, G
机构
[1] UNIV OKLAHOMA,DEPT PHYS,NORMAN,OK 73019
[2] UNIV PARIS 06,PHYS THEOR & HAUTES ENERGIES LAB,F-75252 PARIS,FRANCE
关键词
D O I
10.1016/0550-3213(90)90058-L
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
One-loop corrections to topological field theory in three and four dimensions are presented. By regularizing determinants, we compute the effective action and β-function in four-dimensional topological Yang-Mills theory and fied that the BRST symmetry is preserved. Moreover, the minima of the effective action still correspond to instanton configurations. In three dimensions, an analysis of the Chern-Simons theory shows that the topological nature of the theory is also preserved to this order. In addition, we find that this theory possesses an extra supersymmetry when quantized in the Landau gauge. Using dimensional regularizatin, we then study the Ward identifies of the extended BRST symmetry in the three-dimensional topological Yang-Mills-Higgs model. © 1980.
引用
收藏
页码:83 / 97
页数:15
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