6 papers
Multiple Mellin-Barnes integrals in Schwinger-DeWitt technique
A. O. Barvinsky, A. E. Kalugin, W. Wachowski
We consider off-diagonal asymptotic series for integral kernels of functions of Laplace-type operators on curved backgrounds. These expansions are obtained by applying integral tra…
New "metric-affine-like" generalization of Yang-Mills theory
WÅadysÅaw Wachowski
We suggest a new generalization of the Yang-Mills theory obtained by relaxing the condition of covariant constancy of the Hermitian form in the fibers, $\nabla_a g_…
"Metric-affine-like" generalization of YM (mal-YM): detailed classical consideration
WÅadysÅaw Wachowski
We consider the ``metric-affine-like'' generalization of the Yang-Mills theory (mal-YM) which we first proposed earlier. In this model, the connection is no longer assumed to be co…
Functorial properties of Schwinger-DeWitt expansion and Mellin-Barnes representation
Andrei O. Barvinsky, Alexey E. Kalugin, WÅadysÅaw Wachowski
We consider integral kernels for functions of a minimal second-order differential operator on a curved spacetime. We show that they can be expanded in…
Pseudodifferential calculus in Schwinger--DeWitt formalism: UV and IR parts
A. O. Barvinsky, A. E. Kalugin, W. Wachowski
We consider expansions for the kernels of operator functions of second-order minimal operators on a curved background. We show that the terms of these expansions originate in the u…
Schwinger--DeWitt expansion for the heat kernel of nonminimal operators in causal theories
Andrei O. Barvinsky, Alexey E. Kalugin, WÅadysÅaw Wachowski
We suggest a systematic calculational scheme for heat kernels of covariant nonminimal operators in causal theories whose characteristic surfaces are null with respect to a generic…