Entropy and Equilibrium Property of QCD-Instanton Induced Final State in Deep-Inelastic Scattering

Weibing Deng<SUP></SUP>; Ding Lu<SUP></SUP>; Jiying Zhang<SUP></SUP>; Mingmei Xu<SUP></SUP>; Levchenko Boris<SUP></SUP>

doi:10.1088/1674-1137/32/1/003

Chinese Physics C> 2008, Vol. 32> Issue(1) : 13-17 DOI: 10.1088/1674-1137/32/1/003

Entropy and Equilibrium Property of QCD-Instanton Induced Final State in Deep-Inelastic Scattering

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The scaling and additivity properties of R\'enyi 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 R\'enyi entropy $H_2$ is observed for the IFS while the $H_2$ for current jet tends to saturation with the decreasing of phase space scale. Furthermore, it is found that the additivity of $H_2$ holds well for IFS in narrow rapidity window 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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Weibing Deng, Ding Lu, Jiying Zhang, Mingmei Xu, Levchenko Boris and Entropy and Equilibrium Property of QCD-Instanton Induced Final State in Deep-Inelastic Scattering[J]. Chinese Physics C, 2008, 32(1): 13-17. doi: 10.1088/1674-1137/32/1/003

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Received: 2007-02-07
Revised: 2007-06-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Entropy and Equilibrium Property of QCD-Instanton Induced Final State in Deep-Inelastic Scattering

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Received Date: 2007-02-07
Accepted Date: 2007-06-01
Available Online: 2008-01-05

Abstract: The scaling and additivity properties of R\'enyi 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 R\'enyi entropy $H_2$ is observed for the IFS while the $H_2$ for current jet tends to saturation with the decreasing of phase space scale. Furthermore, it is found that the additivity of $H_2$ holds well for IFS in narrow rapidity window at different positions. These results indicate that the IFS produced in the instanton-induced process of deep inelastic scattering has reached local equilibrium.