General formula for symmetry factors of Feynman diagrams

Details General formula for symmetry factors of Feynman diagrams General formula for symmetry factors of Feynman diagrams

2010-11-18

arxiv.org/abs/1011.4142v2

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, wick.sty needed, revised version, reference added, accepted in Reports on Mathematical Physics

Scientific paper

General formula for symmetry factors (S-factor) of Feynman diagrams containing fields with high spins is derived. We prove that symmetry factors of Feynman diagrams of well-known theories do not depend on spins of fields. In contributions to S-factors, self-conjugate fields and non self-conjugate fields play the same roles as real scalar fields and complex scalar fields, respectively. Thus, the formula of S-factors for scalar theories --- theories include only real and complex scalar fields --- works on all well-known theories of fields with high spins.Two interesting consequences deduced from our result are : (i) S-factors of all external connected diagrams consisting of only vertices with three different fields, e.g., spinor QED, are equal to unity; (ii) some diagrams with different topologies can contribute the same factor, leading to the result that the inverse S-factor for the total contribution is the sum of inverse S-factors, i.e., 1/S = \sum_i (1/S_i).

Affiliated with

Also associated with

No associations

Rating

General formula for symmetry factors of Feynman diagrams 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 General formula for symmetry factors of Feynman diagrams, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and General formula for symmetry factors of Feynman diagrams will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-536429