Off-diagonal heat-kernel expansion and its application to fields with differential constraints

Details Off-diagonal heat-kernel expansion and its application to fields with differential constraints Off-diagonal heat-kernel expansion and its application to fields with differential constraints

2011-12-20

arxiv.org/abs/1112.4856v1

Physics

Mathematical Physics

32 pages

Scientific paper

The off-diagonal heat-kernel expansion of a Laplace operator including a general gauge-connection is computed on a compact manifold without boundary up to third order in the curvatures. These results are used to study the early-time expansion of the traced heat-kernel on the space of transverse vector fields satisfying the differential constraint $D^\mu v_\mu = 0$. It is shown that the resulting Seeley-deWitt coefficients generically develop singularities, which vanish if the metric is flat or satisfies the Einstein condition. The implications of our findings for the evaluation of the gravitational functional renormalization group equation are briefly discussed.

Affiliated with

Also associated with

No associations

Rating

Off-diagonal heat-kernel expansion and its application to fields with differential constraints 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 Off-diagonal heat-kernel expansion and its application to fields with differential constraints, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Off-diagonal heat-kernel expansion and its application to fields with differential constraints will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-189000