Instability of a uniform electric field in pure non-Abelian Yang-Mills theory

Carlos Cardona, Tanmay Vachaspati

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We study the Schwinger process in a uniform non-Abelian electric field using a dynamical approach in which we evolve an initial quantum state for gluonic excitations. We evaluate the spectral energy density and number density in the excitations as functions of time. The total energy density has an ultraviolet divergence which we argue gets tamed due to asymptotic freedom, leading to g4E4t4 growth, where g is the coupling and E the electric field strength. We also find an infrared divergence in the number density of excitations whose resolution requires an effect such as confinement.

Original languageEnglish (US)
Article number045009
JournalPhysical Review D
Issue number4
StatePublished - Aug 15 2021

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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