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A semi-holographic model for heavy-ion collisions | | Edmond Iancu
; Ayan Mukhopadhyay
; | | Date: |
23 Oct 2014 | | Abstract: | We develop a semi-holographic model for the out-of-equilibrium dynamics
during the partonic stages of an ultrarelativistic heavy-ion collision. The
model combines a weakly-coupled hard sector, involving gluon modes with energy
and momenta of the order of the saturation momentum and relatively large
occupation numbers, with a strongly-coupled soft sector, which physically
represents the soft gluons radiated by the hard partons. The hard sector is
described by perturbative QCD, more precisely, by its semi-classical
approximation (the classical Yang-Mills equations) which becomes appropriate
when the occupation numbers are large. The soft sector is described by a
marginally deformed conformal field theory, which in turn admits a holographic
description in terms of classical Einstein’s equations in $AdS_5$ with a
minimally coupled massless ’dilaton’. The model involve two free parameters
which characterize the gauge-invariant couplings between the hard and soft
sectors. Via these couplings, the hard modes provide dynamical sources for the
gravitational equations at the boundary of $AdS_5$ and feel the feedback of the
latter as additional soft sources in the classical Yang-Mills equations.
Importantly, the initial conditions for this coupled dynamics are fully
determined by the hard sector alone, i.e. by perturbative QCD, and are
conveniently given by the color glass condensate (CGC) effective theory. We
also develop a new semi-holographic picture of jets in the QGP by attaching a
non-Abelian charge to the endpoint of the trailing string in $AdS_5$
representing a heavy quark. This leads to modified Nambu-Goto equations for the
string which govern the (collisional and radiative) energy loss by the heavy
quark towards both hard and soft modes. | | Source: | arXiv, 1410.6448 | | Services: | Forum | Review | PDF | Favorites | |
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