Euclidean formulation of relativistic quantum mechanics
W. N. Polyzou, Philip Kopp
TL;DR
This paper explores a Euclidean approach to relativistic quantum mechanics using Green functions, aiming to construct a Poincare invariant S-matrix from Euclidean data.
Contribution
It introduces a novel Euclidean formulation of relativistic quantum mechanics based on reflection-positive Green functions and their generating functionals.
Findings
Proposes a method to construct a Poincare invariant S-matrix from Euclidean Green functions.
Establishes a framework connecting Euclidean Green functions with relativistic quantum dynamics.
Provides preliminary results on the feasibility of this Euclidean formulation.
Abstract
We discuss preliminary work on a formulation of relativistic quantum mechanics that uses reflection-positive Euclidean Green functions or their generating functionals as phenomenological input. We discuss the construction of a Poincare invariant S-matrix from matrix element of exp(- \beta H).
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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum and Classical Electrodynamics