The Schwinger Model in Point Form
Daniel Kupelwieser, Wolfgang Schweiger, William H. Klink
TL;DR
This paper explores a novel approach to solving the Schwinger model, a 1+1 dimensional quantum electrodynamics, by quantizing it on a hyperboloid surface and analyzing its algebraic structure.
Contribution
It introduces a hyperboloid quantization method for the Schwinger model and derives the Fock-space representation of the 2-momentum operator.
Findings
Derived the Fock-space representation of the 2-momentum operator.
Analyzed the algebraic structure of the 2-momentum operator.
Outlined a potential solution strategy for the model.
Abstract
We attempt to solve the Schwinger model, i.e. massless QED in 1+1 dimensions, by quantizing it on a space-time hyperboloid x_\mu x^\mu =\tau^2. The Fock-space representation of the 2-momentum operator is derived and its algebraic structure is analyzed. We briefly outline a solution strategy.
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Taxonomy
TopicsGeophysics and Sensor Technology · Elasticity and Wave Propagation · Mechanical and Optical Resonators