Abstract
In this note, we present a method to calculate the vacuum to vacuum transition amplitude in the presence of the non-abelian background field. The number of non-perturbative quark-antiquark produced per unit time, per unit volume and per unit transverse momentum from a given constant chromo-electric field is calculated and compared with the results found in the literature.
Highlights
Lattice QCD predicts a phase transition from Hadrons gaz (HG) to quark-gluon plasma (QGP) at deconfinement temperature, T ∼ 170 MeV
The production rate of quark-antiquark from a given constant chromo-electric field Ea has been derived in Ref. [18] and the integrated pT distribution has been obtained in [19]-[22]
The obtained pT distribution for quark production can be used in the analysis of the experimental results at the RHIC and the LHC colliders
Summary
Lattice QCD predicts a phase transition from Hadrons gaz (HG) to quark-gluon plasma (QGP) at deconfinement temperature, T ∼ 170 MeV. Therefeore, to study the production of a QGP from a classical chromo field, it is necessary to know how quarks and gluons are formed from the latter. The production rate of quark-antiquark from a given constant chromo-electric field Ea has been derived in Ref. [18] and the integrated pT distribution has been obtained in [19]-[22] (for a review see [23]) In this short technical note, we will extend the results of Ref. The paper is organized as follows: we will calculate the one loop effective action needed in the evaluation of the pT distribution of the quark (antiquark) production.
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