The Spin-Statistics Theorem in Arbitrary Dimensions

Details The Spin-Statistics Theorem in Arbitrary Dimensions The Spin-Statistics Theorem in Arbitrary Dimensions

2007-11-07

arxiv.org/abs/0711.1111v1

Int.J.Theor.Phys.46:3285-3293,2007

Physics

High Energy Physics

High Energy Physics - Theory

14 pages. To be published in International Journal of Theoretical Physics

Scientific paper

10.1007/s10773-007-9448-5

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.

Affiliated with

Also associated with

No associations

Rating

The Spin-Statistics Theorem in Arbitrary Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Spin-Statistics Theorem in Arbitrary Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Spin-Statistics Theorem in Arbitrary Dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-502692