The Lund model at nonzero impact parameter

Abstract

We extend the formulation of the longitudinal (1 + 1)-dimensional Lund model to nonzero impact parameter using the minimal area assumption. Complete formulae for the string breaking probability and the momenta of the produced mesons are derived using the string worldsheet Minkowskian helicoid geometry. For strings stretched into the transverse dimension, we find probability distribution with slope linear in m T similar to the statistical models but without any thermalization assumptions.

On azimuthal anisotropy in fragmentation of a classical relativistic string

“…In this sence this prescription for momentum distribution along the string is boost-invariant, so in what follows we refer to is as 'invariant-type' initial conditions. The distribution of longitudinal momentum (16) in this example coincides with what is found in [8] for the string with infinite masses on its ends at zero time.…”

“…However, it seems natural to consider situations with non-zero length of a string at the initial stage of the evolution (non-zero transverse separation for the string's ends) with some momentum distribution along the string. One special case of motion of a relativistic string with non-zero ends' separation was considered in [8]. Approximation used there assumes string's ends moving at constant velocity v < c which physically implies their masses being infinite.…”

Holography and Colliding Gravitational Shock Waves in AsymptoticallyAdS5Spacetime

“…In the dual description of strongly coupled (and large N c ) SYM, this becomes a problem of colliding gravitational shock waves in asymptotically anti-de Sitter (AdS 5 ) spacetime. Previous work has examined qualitative properties and trapped surfaces [4][5][6][7], possible early time behavior [8][9][10], and expected late time asymptotics [11,12]. As no analytic solution is known for this gravitational problem, solving the gravitational initial value problem numerically is the only way to obtain quantitative results which properly connect early and late time behavior.…”