28 November 2021 to 4 December 2021
Jeju Booyoung Hotel
Asia/Seoul timezone

A perturbative expansion for bound states

29 Nov 2021, 17:50
20m
Emerald Hall A&B (Jeju Booyoung Hotel)

Emerald Hall A&B

Jeju Booyoung Hotel

Contributed talk Plenary Session

Speaker

Paul Hoyer (Helsinki University)

Description

Bound states are perturbatively expanded in the coupling $\alpha$ around lowest order bound states, not around free states as for scattering amplitudes. The expansion is not unique, as bound state wave functions are non-polynomial in $\alpha$ even in a first approximation. I describe a first-principles, equal-time method based on a Fock expansion where the constituents are bound by the instantaneous interaction of temporal gauge. The expansion starts from the (bound) valence Fock state of QED atoms and QCD hadrons in any frame. An $O(\alpha_s^0)$ confining potential arises from a homogenous solution of the QCD gauge constraint [1,2].

[1] Paul Hoyer, “Journey to the Bound States”, arXiv:2101.06721 [hep-ph].
[2] Paul Hoyer, “Hadrons as QCD Bound States”, arXiv:2109.06257 [hep-ph].

Author

Paul Hoyer (Helsinki University)

Presentation materials