Dimensional regularization of nonlinear sigma models on a finite time interval

被引：27
作者：
Bastianelli, F
Corradini, O
van Nieuwenhuizen, P
机构：
[1] Univ Bologna, Dipartimento Fis, I-40126 Bologna, Italy
[2] Ist Nazl Fis Nucl, Sez Bologna, I-40126 Bologna, Italy
[3] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA
来源：
PHYSICS LETTERS B | 2000年 / 494卷 / 1-2期
关键词：
D O I：
10.1016/S0370-2693(00)01180-1
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We extend dimensional regularization to the case of compact spaces. Contrary to previous regularization schemes employed for nonlinear sigma models on a finite time interval ("quantum mechanical path integrals in curved space") dimensional regularization requires only a covariant finite two-loop counterterm. This counterterm is nonvanishing and given by 1/8 h(2)R. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：161 / 167
页数：7
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