Entropy and equilibrium property of QCD-instanton induced final state in deep-inelastic scattering*

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2008 Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences
, , Citation Deng Wei-Bing et al 2008 Chinese Phys. C 32 13 DOI 10.1088/1674-1137/32/1/003

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1 Training Base for Research and Teaching in Fundamental Sciences (Physics) College of Physical Science and Technology, Huazhong Normal University, Wuhan 430079, China

2 Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China

3 Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119992 Moscow, Russia

Dates

  1. Received 2 February 2007
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1674-1137/32/1/13

Abstract

The scaling and additivity properties of Rényi entropy in rapidity space of the instanton final state (IFS) and current jet identified by the r-sorting method from the QCDINS Monte Carlo event sample are studied. Asymptotic scaling of the Rényi entropy H2 is observed for the IFS while H2 for the current jet tends to saturation with decreasing phase space scale. Furthermore, it is found that the additivity of H2 holds well for the IFS in narrow rapidity windows at different positions. These results indicate that the IFS produced in the instanton-induced process of deep inelastic scattering has reached local equilibrium.

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Footnotes

  • * 

    Supported by NSFC-RFBR Cooperative Research Project (10475030, 05-02-39028-NNSF-a), NSFC (10375025, 90503001) and Ministry of Education of China NO CFKSTIP-704035

10.1088/1674-1137/32/1/003