THE ETA-FUNCTION IN CHERN-SIMONS FIELD-THEORY

被引:15
作者
BIRMINGHAM, D [1 ]
KANTOWSKI, R [1 ]
RAKOWSKI, M [1 ]
机构
[1] UNIV OKLAHOMA,DEPT PHYS,NORMAN,OK 73019
关键词
D O I
10.1016/0370-2693(90)90241-W
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We discuss a Schwinger expansion technique for computing the η-function of a first-order operator in the pure Chern-Simons quantum field theory. When evaluated at zero, the η-function of this operator gives essentially the one-loop correction to the partition function. We illustrate this technique by explicitly computing the one-loop two-point function in this theory on a flat spacetime background. © 1990.
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页码:121 / 127
页数:7
相关论文
共 18 条
[1]   ANOMALIES AND ODD DIMENSIONS [J].
ALVAREZGAUME, L ;
DELLAPIETRA, S ;
MOORE, G .
ANNALS OF PHYSICS, 1985, 163 (02) :288-317
[2]  
ALVAREZGAUME L, 1989, NOTE PERTURBATIVE CH
[3]   RENORMALIZATION OF TOPOLOGICAL FIELD-THEORY [J].
BIRMINGHAM, D ;
RAKOWSKI, M ;
THOMPSON, G .
NUCLEAR PHYSICS B, 1990, 329 (01) :83-97
[4]  
BIRMINGHAM D, 1989, MOD PHYS LETT A, V18, P1753
[5]   3-DIMENSIONAL MASSIVE GAUGE-THEORIES [J].
DESER, S ;
JACKIW, R ;
TEMPLETON, S .
PHYSICAL REVIEW LETTERS, 1982, 48 (15) :975-978
[6]   TOPOLOGICALLY MASSIVE GAUGE-THEORIES [J].
DESER, S ;
JACKIW, R ;
TEMPLETON, S .
ANNALS OF PHYSICS, 1982, 140 (02) :372-411
[7]  
DEWITT B, 1987, HOUCHES SUMMER SCH P, V44
[8]  
FUJIKAWA K, 1980, PHYS REV D, V21, P21
[9]  
Gilkey P. B., 1975, J DIFFER GEOM, V10, P601, DOI [10.4310/jdg/1214433164, DOI 10.4310/JDG/1214433164]
[10]   PERTURBATIVE ASPECTS OF THE CHERN-SIMONS FIELD-THEORY [J].
GUADAGNINI, E ;
MARTELLINI, M ;
MINTCHEV, M .
PHYSICS LETTERS B, 1989, 227 (01) :111-117