From tracial anomalies to anomalies in Quantum Field Theory

Details From tracial anomalies to anomalies in Quantum Field Theory From tracial anomalies to anomalies in Quantum Field Theory

2002-07-22

arxiv.org/abs/math-ph/0207029v1

Commun.Math.Phys.242:31-65,2003

Physics

Mathematical Physics

35 pages

Scientific paper

10.1007/s00220-003-0903-8

zeta-regularized traces, resp. super-traces, are defined on a classical pseudo-differential operator A by: tr^Q(A):= f.p.tr(A Q^{-z})_{|_{z=0}}, resp. str^Q(A):= f.p.str(A Q^{-z})_{|_{z=0}}, where f.p. refers to the finite part and Q is an (invertible and admissible) elliptic reference operator with positive order. They are widly used in quantum field theory in spite of the fact that, unlike ordinary traces on matrices, they are neither cyclic nor do they commute with exterior differentiation, thus giving rise to tracial anomalies. The purpose of this article is to show, on two examples, how tracial anomalies can lead to anomalous phenomena in quantum field theory.

Affiliated with

Also associated with

No associations

Rating

From tracial anomalies to anomalies in Quantum Field Theory 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 From tracial anomalies to anomalies in Quantum Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From tracial anomalies to anomalies in Quantum Field Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-673214