Journal article
Scattering and reflection positivity in relativistic Euclidean quantum mechanics
Physical review. D, Particles, fields, gravitation, and cosmology, Vol.89(7), 076008
12/12/2013
DOI: 10.1103/PhysRevD.89.076008
Abstract
In this paper I discuss a formulation of relativistic few-particle scattering
theory where the dynamical input is a collection of reflection-positive
Euclidean covariant Green functions. This formulation of relativistic quantum
mechanics has the advantage that all calculations can be performed using
Euclidean variables. The construction of the Hilbert space inner product
requires that the Green functions are reflection positive, which is a
non-trivial constraint on the dynamics. In this paper I discuss the structure
of reflection positive Green functions. I show that scattering wave operators
exist when the dynamics is given by a Green function with the structure
discussed in this work. Techniques for computing scattering observables in this
Euclidean framework are discussed.
Details
- Title: Subtitle
- Scattering and reflection positivity in relativistic Euclidean quantum mechanics
- Creators
- W. N Polyzou
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Particles, fields, gravitation, and cosmology, Vol.89(7), 076008
- DOI
- 10.1103/PhysRevD.89.076008
- ISSN
- 1550-7998
- eISSN
- 1550-2368
- Publisher
- American Physical Society
- Language
- English
- Date published
- 12/12/2013
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199743402771
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