SUPERSYMMETRY AND THE MOBIUS-INVERSION FUNCTION

被引:44
作者
SPECTOR, D
机构
[1] Institute for Theoretical Physics, University of Utrecht, Utrecht, NL-3508 TA
关键词
D O I
10.1007/BF02096755
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that the Möbius inversion function of number theory can be interpreted as the operator (-1)F in quantum field theory. Consequently, we are able to provide physical interpretations for various properties of the Möbius inversion function. These include a physical understanding of the Möbius Inversion Formula and of a result that is equivalent to the prime number theorem. Supersymmetry and the Witten index play a central rôle in these constructions. © 1990 Springer-Verlag.
引用
收藏
页码:239 / 252
页数:14
相关论文
共 27 条
[1]  
AKHOURY R, 1984, NUCL PHYS B, V246, P253, DOI 10.1016/0550-3213(84)90296-7
[2]   SUPERSYMMETRY AND THE ATIYAH-SINGER INDEX THEOREM [J].
ALVAREZGAUME, L .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 90 (02) :161-173
[3]  
Apostol T.M., 1976, INTRO ANAL NUMBER TH, DOI DOI 10.1007/978-1-4757-5579-4
[4]  
APOSTOL TM, 1976, MODULAR FUNCTIONS DI
[5]  
AYOUB RG, 1963, 10 AM MATH SOC MATH
[6]   ABELIAN HIGGS KIBBLE MODEL, UNITARITY OF S-OPERATOR [J].
BECCHI, C ;
ROUET, A ;
STORA, R .
PHYSICS LETTERS B, 1974, B 52 (03) :344-346
[7]  
BECCHI C, 1976, ANN PHYS, V98, P297
[8]   VACUUM CONFIGURATIONS FOR SUPERSTRINGS [J].
CANDELAS, P ;
HOROWITZ, GT ;
STROMINGER, A ;
WITTEN, E .
NUCLEAR PHYSICS B, 1985, 258 (01) :46-74
[9]   FUNCTIONAL MEASURE, TOPOLOGY AND DYNAMICAL SUPERSYMMETRY BREAKING [J].
CECOTTI, S ;
GIRARDELLO, L .
PHYSICS LETTERS B, 1982, 110 (01) :39-43
[10]  
Enderton H. B., 2001, MATH INTRO LOGIC, V2nd ed