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Titolo: The Lund fragmentation process for a multigluon string according to the area law
Autore: Andersson, B; Mohanty, S; Soderberg, F;
 Indirizzi:
 Lund Univ, Dept Theoret Phys, S22362 Lund, Sweden Lund Univ Lund SwedenS22362 v, Dept Theoret Phys, S22362 Lund, Sweden
 Titolo Testata:
 EUROPEAN PHYSICAL JOURNAL C
fascicolo: 4,
volume: 21,
anno: 2001,
pagine: 631  647
 SICI:
 14346044(200107)21:4<631:TLFPFA>2.0.ZU;2J
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 JET FRAGMENTATION; QCD CASCADES; MODEL;
 Tipo documento:
 Article
 Natura:
 Periodico
 Settore Disciplinare:
 Physical, Chemical & Earth Sciences
 Citazioni:
 12
 Recensione:
 Indirizzi per estratti:
 Indirizzo: Andersson, B Lund Univ, Dept Theoret Phys, Solvegatan 14A, S22362 Lund, Sweden Lund Univ Solvegatan 14A Lund Sweden S22362 62 Lund, Sweden



 Citazione:
 B. Andersson et al., "The Lund fragmentation process for a multigluon string according to the area law", EUR PHY J C, 21(4), 2001, pp. 631647
Abstract
The Lund area law describes the probability for the production of a set ofcolourless hadrons from an initial set of partons, in the Lund string fragmentation model. It was derived from classical probability concepts but haslater been interpreted as the result of gauge invariance in terms of the Wilson gauge loop integrals. In this paper we will present a general method to implement the area law for a multigluon string state. In this case the world surface of the massless relativistic string is a geometrically bent (1+ 1)dimensional surface embedded in the (1 + 3)dimensional Minkowski space. The partonic states are in general given by a perturbative QCD cascade and are consequently defined only down to a cutoff in the energymomentum fluctuations. We will show that our method defines the states down to the hadronic mass scale inside an analytically calculable scenario. We will then show that there is a differential version of our process which is closely related to the generalized rapidity range A, which has been used as a measure on the partonic states. We identify A as the area spanned between the directrix curve (the curve given by the parton energymomentum vectors laid out in colour order, which determines the string surface) and the average curve (to be called the Pcurve) of the stochastic Xcurves (curves obtained when the hadronic energymomentum vectors are laid out in rank order). Finally we show that from the Xcurve corresponding to a particular stochastic fragmentation situation it is possible to reproduce the directrix curve (up to one starting vector and a set of sign choices, one for each hadron). This relationship provides an analytical formulation of the notion of partonhadron duality. The whole effort is made in order to get a new handle to treat the transition region between where we expect perturbative QCD to work and where the hadronic features become noticeable.
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Documento generato il 09/04/20 alle ore 08:43:39