Schwinger functions in noncommutative quantum field theory

Details Schwinger functions in noncommutative quantum field theory Schwinger functions in noncommutative quantum field theory

2009-08-31

arxiv.org/abs/0908.4537v1

Annales Henri Poincare 11:1273-1283,2010

Physics

Mathematical Physics

Scientific paper

10.1007/s00023-010-0061-4

It is shown that the $n$-point functions of scalar massive free fields on the noncommutative Minkowski space are distributions which are boundary values of analytic functions. Contrary to what one might expect, this construction does not provide a connection to the popular traditional Euclidean approach to noncommutative field theory (unless the time variable is assumed to commute). Instead, one finds Schwinger functions with twistings involving only momenta that are on the mass-shell. This explains why renormalization in the traditional Euclidean noncommutative framework crudely differs from renormalization in the Minkowskian regime.

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