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Lorentz Contraction of Bound States in 1+1 Dimensional Gauge Theory

M. Jarvinen
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Abstract

We consider the Lorentz contraction of a fermion-antifermion bound state in 1+1 dimensional QED. In 1+1 dimensions the absence of physical, propagating photons allows us to explicitly solve the weak coupling limit α<< m^2 of the Bethe-Salpeter bound state equation in any Lorentz frame. In a time-ordered formalism it is seen that all pair production is suppressed in this limit. The wave function is shown to contract while the mass spectrum is invariant under boosts.

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M. Jarvinen. 2004-08-20. Lorentz Contraction of Bound States in 1+1 Dimensional Gauge Theory. https://doi.org/10.1103/physrevd.70.065014

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