Poincaré Invariant Quantum Mechanics based on Euclidean Green functions

Details Poincaré Invariant Quantum Mechanics based on Euclidean Green functions Poincaré Invariant Quantum Mechanics based on Euclidean Green functions

2010-08-31

arxiv.org/abs/1008.5208v1

PoS LC2010:012,2010

Physics

Mathematical Physics

Contribution to "Light Cone 2010'': Relativistic Hadronic and Particle Physics, June 14-18, Valencia, Spain, 8 pages 4 figures

Scientific paper

We investigate a formulation of Poincar\'e invariant quantum mechanics where the dynamical input is Euclidean invariant Green functions or their generating functional. We argue that within this framework it is possible to calculate scattering observables, binding energies, and perform finite Poincar\'e transformations without using any analytic continuation. We demonstrate, using a toy model, how matrix elements of $e^{-\beta H}$ in normalizable states can be used to compute transition matrix elements for energies up to 2 GeV. We discuss some open problems.

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