Initial state angular asymmetries in high energy p+A collisions: spontaneous breaking of rotational symmetry by a color electric field and C-odd fluctuations

Abstract

We present a simple model for generating initial-state azimuthal asymmetries in pA collisions from dipole scattering on an anisotropic dense target. Parity even angular harmonics arise from the C-even real part of the dipole S-matrix which spontaneously breaks rotational symmetry in two dimensions due to a condensate for the color electric field. This leads to an angular correlation with the direction of $\vec{E}$. Parity odd harmonics are generated by the C-odd imaginary part (odderon) due to coupling to coherent target fluctuations which again break rotational invariance. We perform a first qualitative extraction of the amplitude and cutoff of C-odd fluctuations in the dense target.

14 pages, 5 figures; revised version: added a few references and a plot of v4{4} from factorized 4-particle distribution

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• Collective effects in light-heavy ion collisions
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• Hadronization Scheme Dependence of Long-Range Azimuthal Harmonics in High Energy p+A Reactions
• Collective flow and hydrodynamics in large and small systems at the LHC
• Elliptic flow due to radiation in heavy-ion collisions
• Mapping the internal structure of hadrons through color and spin effects
• Theory overview of Heavy Ion collisions