The multiplicative anomaly of regularized functional determinants

被引:3
作者
Zerbini, S [1 ]
机构
[1] Ist Nazl Fis Nucl, Grp Coll Trento, Sez Padova, Trento, Italy
[2] Univ Trent, Dipartimento Fis, Trento, Italy
关键词
D O I
10.1016/S0920-5632(01)01620-6
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
The multiplicative anomaly related to the functional regularized determinants involving products of elliptic operators is introduced and some of its properties discussed. Its relevance concerning the mathematical consistency is stressed. With regard to its possible physical relevance, some examples are illustrated.
引用
收藏
页码:224 / 227
页数:4
相关论文
共 18 条
[1]   Zeta-function regularization and the thermodynamic potential for quantum fields in symmetric spaces [J].
Brevik, I ;
Bytsenko, AA ;
Goncalves, AE ;
Williams, FL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (19) :4437-4448
[2]   Quantum fields and extended objects in space-times with constant curvature spatial section [J].
Bytsenko, AA ;
Cognola, G ;
Vanzo, L ;
Zerbini, S .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1996, 266 (1-2) :1-126
[3]   On the dimensional reduction procedure [J].
Cognola, G ;
Zerbini, S .
NUCLEAR PHYSICS B, 2001, 602 (1-2) :383-398
[4]   Consistent, covariant and multiplicative anomalies [J].
Cognola, G ;
Zerbini, S .
LETTERS IN MATHEMATICAL PHYSICS, 1999, 48 (04) :375-383
[5]  
COGNOLA G, HEPTH9910038
[6]   Effective QED actions: Representations, gauge invariance, anomalies, and mass expansions [J].
Deser, S ;
Griguolo, L ;
Seminara, D .
PHYSICAL REVIEW D, 1998, 57 (12) :7444-7459
[7]   EFFECTIVE LAGRANGIAN AND ENERGY-MOMENTUM TENSOR IN DESITTER SPACE [J].
DOWKER, JS ;
CRITCHLEY, R .
PHYSICAL REVIEW D, 1976, 13 (12) :3224-3232
[8]   Applications in physics of the multiplicative anomaly formula involving some basic differential operators [J].
Elizalde, E ;
Cognola, G ;
Zerbini, S .
NUCLEAR PHYSICS B, 1998, 532 (1-2) :407-428
[9]   Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue [J].
Elizalde, E ;
Vanzo, L ;
Zerbini, S .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 194 (03) :613-630
[10]   One-loop effective potential for a fixed charged self-interacting bosonic model at finite temperature with its related multiplicative anomaly [J].
Elizalde, E ;
Filippi, A ;
Vanzo, L ;
Zerbini, S .
PHYSICAL REVIEW D, 1998, 57 (12) :7430-7443