The Fock-Kemmer approach to precursor shock waves in relativistic field theory

Rawand H. Abdullah; George Jaroszkiewicz

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arXiv · 1611.03333

The Fock-Kemmer approach to precursor shock waves in relativistic field theory

Rawand H. Abdullah·George Jaroszkiewicz

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Abstract

We use distribution theory (generalized functions) to extend and justify the Fock-Kemmer approach to the propagation of precursor shock wave discontinuities in classical and quantum field theory. We apply lightcone causality arguments to propose that shock wave singularities in non-linear classical field theories and in Maxwell's equations for responsive media require a form of classical renormalization analogous to Wilson operator product expansions in quantum field theories.

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Rawand H. Abdullah, George Jaroszkiewicz. 2016-11-08. The Fock-Kemmer approach to precursor shock waves in relativistic field theory. https://arxiv.org/abs/1611.03333

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