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Schwinger Pair Production in SL$(2,\mathbb{C})$ Topologically Non-Trivial Fields via Non-Abelian Worldline Instantons
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abstract
Schwinger pair production is analyzed in a BPST instanton background and in its SL$(2,\mathbb{C})$ complex extension for complex scalar particles. A non-Abelian extension of the worldline instanton method is utilized, wherein Wong's equations in a coherent state picture adopted for SL$(2,\mathbb{C})$ are solved in Euclidean spacetime. While pair production is not predicted in the BPST instanton, a complex extension of the BPST instanton, existing as parallel fields in Minkowski spacetime, is shown to decay via the Schwinger effect.
Forward citations
Cited by 2 Pith papers
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In-in worldline formalism in pair creating fields
In-in observables in pair-creating QED backgrounds are re-expressed exactly as in-out matrix elements with a universal non-local insertion, yielding a first-quantized formula for the probability of producing N pairs.
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Worldline Modeling of Ultra-Intense Lasers for N-photon Scattering Processes
Compact worldline 'master formulae' for arbitrary-N photon scattering in strong-field backgrounds are presented, but the derivations are largely deferred to the authors' own prior and companion papers.
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