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arXiv · 1102.5107

A first nonperturbative calculation in light-front QED for an arbitrary covariant gauge

S. S. Chabysheva·J. R. Hiller
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Abstract

This work is the first check of gauge invariance for nonperturbative calculations in light-front QED. To quantize QED in an arbitrary covariant gauge, we use a light-front analog of the equal-time Stueckelberg quantization. Combined with a Pauli-Villars regularization, where massive, negative-metric photons and fermions are included in the Lagrangian, we are then able to construct the light-front QED Hamiltonian and the associated mass eigenvalue problem in a Fock-space representation. The formalism is applied to the dressed-electron state, with a Fock-space truncation to include at most one photon. From this eigenstate, we compute the anomalous magnetic moment. The result is found to be gauge independent, to an order in $α$ consistent with the truncation.

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S. S. Chabysheva, J. R. Hiller. 2011-07-22. A first nonperturbative calculation in light-front QED for an arbitrary covariant gauge. https://doi.org/10.1103/physrevd.84.034001

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