English

Scattering in a Euclidean formulation of relativistic quantum mechanics

High Energy Physics - Lattice 2018-09-10 v1 High Energy Physics - Theory Nuclear Theory

Abstract

A Euclidean formulation of relativistic quantum mechanics is discussed. Representations of the Hilbert space inner product and Poincar\'e generators are all expressed in terms of Euclidean space-time variables. The formulation does not require analytic continuation and can be used to directly calculate scattering observables. A toy model is used to demonstrate the feasibility of performing scattering calculations using the suggested computational methods.

Keywords

Cite

@article{arxiv.1809.02537,
  title  = {Scattering in a Euclidean formulation of relativistic quantum mechanics},
  author = {W. N. Polyzou and Gordon Aiello and Philip Kopp},
  journal= {arXiv preprint arXiv:1809.02537},
  year   = {2018}
}

Comments

8 pages, Contribution to The 36th Annual International Symposium on Lattice Field Theory