Quark and Gluon Production from a Boost-invariantly Expanding Color Electric Field

Abstract

Particle production from an expanding classical color electromagnetic field is extensively studied, motivated by the early stage dynamics of ultra-relativistic heavy ion collisions. We develop a formalism at one-loop order to compute the particle spectra by canonically quantizing quark, gluon and ghost fluctuations under the presence of such an expanding classical color background field; the canonical quantization is done in the $\tau$-$\eta$ coordinates in order to take into account manifestly the expanding geometry. As a demonstration, we model the expanding classical color background field by a boost-invariantly expanding homogeneous color electric field with lifetime $T$, for which we obtain analytically the quark and gluon production spectra by solving the equations of motion of QCD non-perturbatively with respect to the color electric field. In this paper we study (i) finite lifetime effect which is found to modify significantly the particle spectra from those expected from the Schwinger formula; (ii) the difference between the quark and gluon production; and (iii) the quark mass dependence of the production spectra. Implications of these results to ultra-relativistic heavy ion collisions are also discussed.

34 pages, 7 figures; v2: PRD version, v3: notes added on current author's affiliation

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Cited by in corpus (5)

• Advances in QED with intense background fields
• Spin-dependent dynamically assisted Schwinger mechanism
• Dynamically assisted Schwinger mechanism and chirality production in parallel electromagnetic field
• Mutual assistance between the Schwinger mechanism and the dynamical Casimir effect
• Massless quark production in chromoelectric field with back reaction