Asia-Pacific Symposium for Lattice Field Theory (APLAT 2020)

Resurgence structure on compactified spacetime with twisted boundary condition

7 Aug 2020, 16:40

20m

online

Theoretical Developments Theoretical Developments

Speaker

Okuto Morikawa (*) (Kyushu University)

Description

Recently, in the context of the resurgence program, it was conjectured that the perturbative ambiguity caused by the IR renormalon is canceled against the semi-classical object called bion. This conjecture requires the circle compactification with the $Z_N$ twisted boundary condition, in which the bion solution is found. Contrary to this conjecture, we find that there is no IR renormalon in circle-compactified theories. We then argue that the bion cancels the perturbative ambiguity caused by the proliferation of Feynman diagrams, which are significantly affected by the compactification. These observations are helpful in giving a unified understanding on the resurgence structure.

Presentation materials

aplat2020_morikawa.pdf