A NEW ALGEBRAIC APPROACH FOR CALCULATING THE HEAT KERNEL IN GAUGE
THEORIES

Abstract
It is shown that the heat kernel for any Laplace - like operator on
covariantly constant background in at space may be presented in form
of an average over corresponding Lie group with a Gaussian measure.
Explicit expression for the heat kernel is obtained using this
representation.Related topics are discussed.

For the full paper see;

http://infohost.nmt.edu/ftp/people/iavramid/plb305930027.pdf

The mathematical work seems consistent with my own thoughts regarding
the origins of radiant heat as a sub-atomic photon emission. I am
curious as to the reactions of other readers to the paper more than to
my personal hypothesis. Is the heat kernel menthyioned int he abstract
and body of the paper a reasonably well recognized quantity in QFT or
QED?

I have spent some time also researching the Mosebauer effect for
solids. Here the quantized group lattice photon to phonon conversion
is exactly applicable to a portion of the project I am researching
however, this effect only applies to gamma radiation and I do not
believe my source is a significant gamma emitter.

A Mosebauer type effect for ambient or coherent thermal or black body
radiation seems to be the process and anti-process I seek.

In terms of a perhaps more conventional QFT approach I believe the
kinetic transfer part of the problem may be quantized in gauge field.

Thermal recoil energy is the term associated with the emission process
for the pioneer anomaly, heat creating thrust, this includes both
isotope decay and thermal radiation process, but does not seem to
cover the anti-process of radiant heat to molecular kinetics of
particular interest to me. I do recall that Einstein published on
Brownian motion in 1905
but I am more interested in more recent papers involving radiant heat
to phonon or molecular kinetics in fluids or gels.

Thanks,