Abstract
Using analytic solutions of the Yang-Mills equations we calculate the initial flow of energy of the classical gluon field created in collisions of large nuclei at high energies. We find radial and elliptic flow which follows gradients in the initial energy density, similar to a simple hydrodynamic behavior. In addition we find a rapidity-odd transverse flow field which implies the presence of angular momentum and should lead to directed flow in final particle spectra. We trace those energy flow terms to transverse fields from the non-abelian generalization of Gauss' Law and Ampere's and Faraday's Laws.
Highlights
At asymptotically large energies the gluon fields in hadrons and nuclei approach a state of nuclear matter generally referred to as color glass condensate (CGC) [1, 2]
The transverse gluon density saturates at a value ∼ Q−s 2 characterized by a saturation scale Qs
In this limit large occupation numbers permit a quasi-classical treatment of the gluon field which is the approximation known as the McLerran-Venugopalan (MV) model [3, 4]
Summary
At asymptotically large energies (or small Bjorken-x) the gluon fields in hadrons and nuclei approach a state of nuclear matter generally referred to as color glass condensate (CGC) [1, 2]. We report on results from a calculation which solves the classi√cal gluon field (Yang-Mills) equations employing an expansion in powers of the proper time τ = t2 − z2 after the collision. We focus on the transverse Poynting vector Si = T 0i, i = 1, 2 of the gluon field, where T μν is the energy momentum tensor.
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