Symmetry Factors of Feynman Diagrams for Scalar Fields

Details Symmetry Factors of Feynman Diagrams for Scalar Fields Symmetry Factors of Feynman Diagrams for Scalar Fields

2009-07-05

arxiv.org/abs/0907.0859v2

Theor.Math.Phys.165:1500-1511,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

Journal version, new references added

Scientific paper

10.1007/s11232-010-0124-1

The symmetry factor of Feynman diagrams for real and complex scalar fields is presented. Being analysis of Wick expansion for Green functions, the mentioned factor is derived in a general form. The symmetry factor can be separated into two ones corresponding to that of connected and vacuum diagrams. The determination of symmetry factors for the vacuum diagrams is necessary as they play a role in the effective action and phase transitions in cosmology. In the complex scalar theory the diagrams different in topology may give the same contribution, hence inverse of the symmetry factor (1/S) for total contribution is a summation of each similar ones (1/S_i), i.e., 1/S = \sum_i (1/S_i).

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