caa a22 4500 463195949 CHVBK 20180406164922.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s10773-007-9448-5 doi (NATIONALLICENCE)springer-10.1007/s10773-007-9448-5 The Spin-Statistics Theorem in Arbitrary Dimensions [Elektronische Daten] [Luis Boya, E. Sudarshan] We investigate the spin-statistics connection in arbitrary dimensions for hermitian spinor or tensor quantum fields with a rotationally invariant bilinear Lagrangian density. We use essentially the same simple method as for space dimension D=3. We find the usual connection (tensors as bosons and spinors as fermions) for D=8n+3,8n+4,8n+5, but only bosons for spinors and tensors in dimensions 8n±1 and 8n. In dimensions 4n+2 the spinors may be chosen as bosons or fermions. The argument hinges on finding the identity representation of the rotation group either on the symmetric or the antisymmetric part of the square of the field representation. Springer Science+Business Media, LLC, 2007 Spin and statistics nationallicence Higher dimensions nationallicence Boya Luis Center for Particle Theory, The University of Texas at Austin, 78712, Austin, TX, USA aut Sudarshan E. Center for Particle Theory, The University of Texas at Austin, 78712, Austin, TX, USA aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/12(2007-12-01), 3285-3293 0020-7748 46:12<3285 2007 46 10773 https://doi.org/10.1007/s10773-007-9448-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-007-9448-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Boya Luis Center for Particle Theory, The University of Texas at Austin, 78712, Austin, TX, USA aut NATIONALLICENCE 700 1- Sudarshan E. Center for Particle Theory, The University of Texas at Austin, 78712, Austin, TX, USA aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/12(2007-12-01), 3285-3293 0020-7748 46:12<3285 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer