Wakes in a Collisional Quark-Gluon Plasma

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The wakes discussed here are associated with the collisional energy loss only not with the radiative [ 3 ] . However, the latter might also produce a large-angle radiation of gluons in addition to the one by Mach cones [ 11 ]

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In Ref. [ 14 ] the BGK-approach has been derived for the QED case. However, since the Vlasov aproach for QED and QCD is the same (apart from color and flavor factors), this approach can be used also for QCD at least as a model for taking collisions into account (see also Ref. [ 16 ] )

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A typographical error in the factor Q a / ( 2 ​ π ) 2 ​ v Q^{a}/(2\pi)^{2}v in eq.(35) of Ref. [ 9 ] is now corrected here as Q a / 2 ​ π 2 ​ v Q^{a}/2\pi^{2}v

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We restrict to the physical Riemann sheet, i.e. ln ⁡ z = ln ⁡ | z | + i ​ θ + 2 ​ i ​ n ​ π \ln{z}=\ln|z|+i\theta+2in\pi with n = 0 n=0

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The collision rate in the QGP is momentum dependent and of the order of g 2 g^{2} for color and g 4 g^{4} for momentum exchange [ 23 ] . However, since g g is of the order of one in realistic situations, the choice of ν \nu between 0 and m D m_{D} is reasonable

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