Summary of main features:
This code computes local heat kernel coefficients. Both diagonal and off-diagonal coefficients can be computed, for fields with arbitrary indices or for scalars/vectors/rank-two-tensors. Some features are summarised here:
xAct based
Implements the algorithm of 1112.4856 but without symmetrisation of covariant derivatives
Currently up to six derivatives
Developed with input from Stefan Lippoldt
There is also a different code that computes non-local heat kernel coefficients (aka form factors/curvature expansion):
xAct based
Uses a version of covariant perturbation theory
For more information, contact Benjamin Knorr.
Publications using this code:
Local code:
All papers that use the background code [local diagonal and off-diagonal heat kernel coefficients up to sixth order in derivatives]
Non-local code:
2311.12097 [non-local heat kernel coefficients with up to two derivatives and up to second order in curvature]