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
[51]  
Reed M., 1975, Fourier Analysis, Self-Adjointness
[52]   BEMERKUNGEN ZUR UNITARAQUIVALENZ VON LORENTZINVARIANTEN FELDERN [J].
REEH, H ;
SCHLIEDER, S .
NUOVO CIMENTO, 1961, 22 (05) :1051-+
[53]   BOUNDED OPERATOR APPROACH TO TOMITA-TAKESAKI THEORY [J].
RIEFFEL, MA ;
VANDAELE, A .
PACIFIC JOURNAL OF MATHEMATICS, 1977, 69 (01) :187-221
[54]   Tensionless strings, correspondence with SO(D,D) sigma-model [J].
Savvidy, G .
PHYSICS LETTERS B, 2005, 615 (3-4) :285-290
[55]   Constructive proposals for QFT based on the crossing property and on lightfront holography [J].
Schroer, B .
ANNALS OF PHYSICS, 2005, 319 (01) :48-91
[56]   A JOST-SCHROER THEOREM FOR STRING FIELDS [J].
STEINMANN, O .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 87 (02) :259-264
[57]  
Streater R. F., 2000, PCT SPIN STAT ALL
[58]   FERMION STATES OF A BOSON FIELD [J].
STREATER, RF ;
WILDE, IF .
NUCLEAR PHYSICS B, 1970, B 24 (03) :561-&
[59]  
STROCCHI F, 1969, PHYS REV, V166, P1302
[60]  
STROER B, 1999, ANN PHYS, V295, P190