Pair production in classical Stueckelberg-Horwitz-Piron electrodynamics

9th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields

Land, Martin^1

Department of Computer Science, Hadassah College, 37 HaNeviim Street, Jerusalem, Israel^1

关键词: Classical effects;    Classical mechanics;    Equilibrium limits;    Event evolutions;    Pair production;    Positive energies;    Radiation field;    Space-time coordinates;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/615/1/012007/pdf
DOI  :  10.1088/1742-6596/615/1/012007

来源: IOP

【 摘 要 】

We calculate pair production from bremsstrahlung as a classical effect in Stueckelberg-Horwitz electrodynamics. In this framework, worldlines are traced out dynamically through the evolution of events xμ(τ) parameterized by a chronological time τ that is independent of the spacetime coordinates. These events, defined in an unconstrained 8D phase space, interact through five τ-dependent gauge fields induced by the event evolution. The resulting theory differs in its underlying mechanics from conventional electromagnetism, but coincides with Maxwell theory in an equilibrium limit. In particular, the total mass-energy-momentum of particles and fields is conserved, but the mass-shell constraint is lifted from individual interacting events, so that the Feynman-Stueckelberg interpretation of pair creation/annihilation is implemented in classical mechanics. We consider a three-stage interaction which when parameterized by the laboratory clock x0appears as (1) particle-1 scatters on a heavy nucleus to produce bremsstrahlung, (2) the radiation field produces a particle/antiparticle pair, (3) the antiparticle is annihilated with particle-2 in the presence of a second heavy nucleus. When parameterized in chronological time τ, the underlying process develops as (1) particle-2 scatters on the second nucleus and begins evolving backward in time with negative energy, (2) particle-1 scatters on the first nucleus and releases bremsstrahlung, (3) particle-2 absorbs radiation which returns it to forward time evolution with positive energy.