Ya. Sitenko et Dg. Rakityansky, VACUUM ENERGY INDUCED BY AN EXTERNAL MAGNETIC-FIELD IN A CURVED SPACE, Physics of atomic nuclei, 61(5), 1998, pp. 790-801
The asymptotic expansion of the product of an operator raised to an ar
bitrary power and an exponential function of this operator is obtained
. With the aid of this expansion, the density of vacuum energy induced
by a static external magnetic field of an Abelian or a non-Abelian na
ture is expressed in terms of the DeWitt-Seeley-Gilkey coefficients.