Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-08-18
Int.J.Mod.Phys.A22:181-202,2007
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, misprints corrected
Scientific paper
10.1142/S0217751X07034921
We generalize the Endo formula originally developed for the computation of the heat kernel asymptotic expansion for non-minimal operators in commutative gauge theories to the noncommutative case. In this way, the first three non-zero heat trace coefficients of the non-minimal U(N) gauge field kinetic operator on the Moyal plane taken in an arbitrary background are calculated. We show that the non-planar part of the heat trace asymptotics is determined by U(1) sector of the gauge model. The non-planar or mixed heat kernel coefficients are shown to be gauge-fixing dependent in any dimension of space-time. In the case of the degenerate deformation parameter the lowest mixed coefficients in the heat expansion produce non-local gauge-fixing dependent singularities of the one-loop effective action that destroy the renormalizability of the U(N) model at one-loop level. The twisted-gauge transformation approach is discussed.
No associations
LandOfFree
Heat kernel of non-minimal gauge field kinetic operators on Moyal plane 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 Heat kernel of non-minimal gauge field kinetic operators on Moyal plane, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Heat kernel of non-minimal gauge field kinetic operators on Moyal plane will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-567589