Heat kernel of non-minimal gauge field kinetic operators on Moyal plane
| dc.creator | Strelchenko, Alexei | |
| dc.date | 2006-08-18 | |
| dc.date | 2007-07-03 | |
| dc.date.accessioned | 2026-07-07T11:07:06Z | |
| dc.date.available | 2026-07-07T11:07:06Z | |
| dc.description | 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. | |
| dc.description | 21 pages, misprints corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0608134 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0608134 | |
| dc.identifier | Int.J.Mod.Phys.A22:181-202,2007 | |
| dc.identifier | doi:10.1142/S0217751X07034921 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/189732 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Heat kernel of non-minimal gauge field kinetic operators on Moyal plane | |
| dc.type | text |