Jul 22 – 28, 2018
Kellogg Hotel and Conference Center
EST timezone

Scattering in Euclidean formulations of relativistic quantum theory

Jul 27, 2018, 2:40 PM
Big Ten A (Kellogg Hotel and Conference Center)

Big Ten A

Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824
Theoretical Developments Theoretical Developments


Prof. Wayne Polyzou (University of Iowa)


Scattering theory can be formulated given a representation of the quantum mechanical Hilbert space and a set of self-adjoint Poincar\'e generators satisfying cluster properties. These are both provided by the Osterwalder-Schrader reconstruction theorem, where the input is a collection of Euclidean-covariant reflection-positive distributions. In this representation both Hilbert space inner products and matrix elements of the generators can be expressed directly in terms of Euclidean variables, without analytic continuation. A Euclidean version of Haag-Ruelle scattering can be formulated in this representation, which leads to expressions for scattering observables as strong limits. I discuss the construction of one-particle Haag-Ruelle states in this representation and show how these states can be used to construct wave operators. I exhibit toy model calculations of sharp-momentum transition matrix elements over a wide range of energies that suggest the feasibility of formulating numerical methods to compute scattering observables in this Euclidean representation.

Primary author

Prof. Wayne Polyzou (University of Iowa)


Dr Gordon Aiello (University of Iowa) Mr Philip Kopp (University of Iowa)

Presentation materials