Oct 6 – 10, 2025
EIMI
Europe/Moscow timezone

Off-diagonal functoriality and Mellin-Barnes integrals

Oct 10, 2025, 2:30 PM
30m
Main hall

Main hall

Session talk Section A: Mathematical methods in QFT Section A: Mathematical methods in QFT

Speaker

Wladyslaw Wachowski (Theory Department, Lebedev Physics Institute)

Description

Termwise integration of the asymptotic DeWitt expansion yields kernel expansions for a wide class of operator functions. These expansions involve the well-known HaMiDeW coefficients (this property is precisely the off-diagonal generalization of "functoriality") multiplied by some functions representable by Mellin-Barnes (MB) integrals. Off-diagonality, together with the use of the properties of MB integrals and the technique of integral transformations, provide great flexibility and power for this new approach.

Author

Wladyslaw Wachowski (Theory Department, Lebedev Physics Institute)

Co-authors

A.E. Kalugin (Lebedev Physical Institute (LPI)) A.O. Barvinsky (Lebedev Physical Institute (LPI))

Presentation materials