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Time-odd distribution functions, breaking of long range correlations, and sudden entropy changes, in Drell-Yan high-energy processes

2006/11/30 by A. Bianconi, Andrea Bianconi
Mathematics · Physics and Astronomy · #Distribution function #Entropy (arrow of time) #Hadron #High-Energy Particle Collisions Research #Mathematics #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Statistical physics #Thermodynamics #Twist #hep-ph

paper · pdf · doi:10.1103/physrevd.75.074005

published as Phys.Rev.D75:074005,2007 · 18 printed pages, no figures. Revised version, with added subsections to sections 4 and 5, and added references to the introduction. In print on Phys.Rev.D

arxiv created 2007/03/20 · openalex publication_date 2007/04/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Time-odd parton distribution functions in a Drell-Yan process are here studied by examining the evolution of the internal statistical properties of the interacting hadrons. Time-odd functions are shown to be a signature of the irreversible process in which a hadronic state characterized by long range correlation properties (hadronic phase) decays to produce a cloud of independent partons (partonic phase) because of initial/final state interactions. The relevant considered variable is the rate of increase of the entropy of the hadronic system. This quantity is shown to be roughly equal to the decay rate of the hadronic state. Conditions for getting a leading twist time-odd effect are established on this basis. Last, the relevant case of a large entropy increase associated with transverse-dominated initial/final state interactions is analyzed.

Citations