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Magnetic flux loop in high-energy heavy-ion collisions

Adrian Dumitru, Yasushi Nara, and Elena Petreska
Phys. Rev. D 88, 054016 – Published 17 September 2013

Abstract

We consider the expectation value of a chromomagnetic flux loop in the immediate forward light cone of collisions of heavy nuclei at high energies. Such collisions are characterized by a nonlinear scale Qs where color fields become strong. We find that loops of area greater than 1.5/Qs2 exhibit area-law behavior, which determines the scale of elementary flux excitations (“vortices”). We also estimate the magnetic string tension, σM0.12Qs2. By the time t1/Qs even small loops satisfy area-law scaling. We describe corrections to the propagator of semihard particles at very early times in the background of fluctuating magnetic fields.

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  • Received 18 February 2013

DOI:https://doi.org/10.1103/PhysRevD.88.054016

© 2013 American Physical Society

Authors & Affiliations

Adrian Dumitru1,2,3, Yasushi Nara4, and Elena Petreska2,3

  • 1RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA
  • 2Department of Natural Sciences, Baruch College, CUNY, 17 Lexington Avenue, New York, New York 10010, USA
  • 3The Graduate School and University Center, The City University of New York, 365 Fifth Avenue, New York, New York 10016, USA
  • 4Akita International University, Yuwa, Akita-city 010-1292, Japan

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Issue

Vol. 88, Iss. 5 — 1 September 2013

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Images

  • Figure 1
    Figure 1
    Expectation value of the magnetic flux loop right after a collision of two nuclei (time τ=+0) as a function of its area AAQs2. We define Qs2=(CF/2π)g4μ2. Symbols show numerical results for SU(2) Yang-Mills on a 40962 lattice; the lattice spacing is set by g2μL=0.0661. The solid and dashed lines represent fits over the range 4A2. The short dotted line shows cos2A for A<0.3.Reuse & Permissions
  • Figure 2
    Figure 2
    Same as Fig. 1 for asymmetric projectile and target saturation momenta.Reuse & Permissions
  • Figure 3
    Figure 3
    Time evolution of the magnetic flux loop after a collision of two nuclei (40962 lattice, g2μL=0.05). From bottom to top, the curves correspond to time τ×g2μ=0, 1, 2, 3, where g2μ3Qs so that τ=3/(g2μ) corresponds to about τ1/Qs in physical units.Reuse & Permissions
  • Figure 4
    Figure 4
    Color-3 component of the magnetic field Fxy3(x,y) in the transverse plane at time τ=+0 (top) and 1/g2μ1/3Qs (bottom) for a single configuration of color charge sources ρ.Reuse & Permissions
  • Figure 5
    Figure 5
    Area enclosed by a quantum-mechanical path shifted by about one de Broglie wavelength from the extremal classical path.Reuse & Permissions
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