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

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

2004-06-17

arxiv.org/abs/hep-ph/0406186v2

Phys.Rev. D70 (2004) 065014

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 5 figures; v2: text shortened, some comments added, references updated, version to appear in Phys Rev D

Scientific paper

10.1103/PhysRevD.70.065014

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 \alpha << 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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