String-localized quantum fields and modular localization

被引:57
作者
Mund, Jens [1 ]
Schroer, Bert
Yngvason, Jakob
机构
[1] Univ Fed Juiz de Fora, ICE, Dept Fis, BR-36036900 Juiz De Fora, MG, Brazil
[2] CBPF, BR-22290180 Rio De Janeiro, Brazil
[3] Free Univ Berlin, Inst Theoret Phys, D-14195 Berlin, Germany
[4] Erwin Schrodinger Inst Math Phys, A-1090 Vienna, Austria
[5] Univ Vienna, Inst Theoret Phys, A-1090 Vienna, Austria
关键词
D O I
10.1007/s00220-006-0067-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study free, covariant, quantum (Bose) fields that are associated with irreducible representations of the Poincare group and localized in semi-infinite strings extending to spacelike infinity. Among these are fields that generate the irreducible representations of mass zero and infinite spin that are known to be incompatible with point-like localized fields. For the massive representations and the massless representations of finite helicity, all string-localized free fields can be written as an integral, along the string, of point-localized tensor or spinor fields. As a special case we discuss the string-localized vector fields associated with the point-like electromagnetic field and their relation to the axial gauge condition in the usual setting.
引用
收藏
页码:621 / 672
页数:52
相关论文
共 70 条
[1]   MASSLESS PARTICLES WITH CONTINUOUS SPIN INDEXES [J].
ABBOTT, LF .
PHYSICAL REVIEW D, 1976, 13 (08) :2291-2294
[2]   Exact form factors in integrable quantum field theories:: the scaling Z(N)-Ising model [J].
Babujian, H ;
Foerster, A ;
Karowski, M .
NUCLEAR PHYSICS B, 2006, 736 (03) :169-198
[3]   DUALITY CONDITION FOR A HERMITIAN SCALAR FIELD [J].
BISOGNANO, JJ ;
WICHMANN, EH .
JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (04) :985-1007
[4]   Polarization-free generators and the S-matrix [J].
Borchers, HJ ;
Buchholz, D ;
Schroer, B .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 219 (01) :125-140
[5]   TOWARDS A RELATIVISTIC KMS-CONDITION [J].
BROS, J ;
BUCHHOLZ, D .
NUCLEAR PHYSICS B, 1994, 429 (02) :291-318
[6]   Two-point functions and quantum fields in de Sitter universe [J].
Bros, J ;
Moschella, U .
REVIEWS IN MATHEMATICAL PHYSICS, 1996, 8 (03) :327-391
[7]   Modular localization and Wigner particles [J].
Brunetti, R ;
Guido, D ;
Longo, R .
REVIEWS IN MATHEMATICAL PHYSICS, 2002, 14 (7-8) :759-785
[8]   Quantum statistics and locality [J].
Buchholz, D ;
Summers, SJ .
PHYSICS LETTERS A, 2005, 337 (1-2) :17-21
[9]   LOCALITY AND THE STRUCTURE OF PARTICLE STATES [J].
BUCHHOLZ, D ;
FREDENHAGEN, K .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 84 (01) :1-54
[10]   GENERALIZED NUCLEARITY CONDITIONS AND THE SPLIT PROPERTY IN QUANTUM-FIELD THEORY [J].
BUCHHOLZ, D ;
YNGVASON, J .
LETTERS IN MATHEMATICAL PHYSICS, 1991, 23 (02) :159-167