Casimir dependence of transverse distribution of pairs produced from a strong constant chromo-electric background field

Abstract

The transverse distribution of gluon and quark-antiquark pairs produced from a strong constant chromo-electric field depends on two gauge invariant quantities, $C_1=E^a{E}^a$ and $C_2=[d_{abc}{E}^a{E}^b{E}^c{]}^2$, as shown earlier in [G.C. Nayak and P. van Nieuwenhuizen, Phys. Rev. D 71, 125001 (2005)] for gluons and in [G.C. Nayak, Phys. Rev. D 72, 125010 (2005)] for quarks. Here, we discuss the explicit dependence of the distribution on the second Casimir invariant, C_2, and show the dependence is at most a 15% effect.

5 figs

References in corpus (4)

• From Color Glass Condensate to Quark Gluon Plasma through the event horizon
• Non-Perturbative Quark-Antiquark Production From a Constant Chromo-Electric Field via the Schwinger Mechanism
• Soft-Gluon Production Due to a Gluon Loop in a Constant Chromo-Electric Background Field
• Gauge-Invariant Quantities Characterizing Gauge Fields in Chromodynamics

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