Effects of QCD Vacuum and the Instanton Induced-Contributions to the Nucleon Structure Functions

• Published in: Communications in theoretical physics Vol. 59; no. 2; pp. 179 - 186
• Main Authors: Mirjalili, A, Dehghani, M, Yazdanpanah, M.M
• Format: Journal Article
• Language: English
• Published: 01.02.2013
• Subjects: Approximation; Instantons; Kinematics; Mathematical analysis; Mathematical models; Nucleons; QCD真空; Quantum chromodynamics; Running; 实验数据; 弹性运动学; 核子结构函数; 结构功能; 耦合常数; 诱导; 非线性光学
• ISSN: 0253-6102
• DOI: 10.1088/0253-6102/59/2/09

The instanton induced cross section in deep inelastic kinematics is a subject which people are tendentious to investigate it. Instanton induced contributions are well defined for the nucleon structure function. The non-perturbative contribution to the quark distributions of structure function, F2（x, Q2）, is considered within an instanton model for the QCD vacuum. We find that the structure function may possess numerically large non-perterbative contributions which are related to the violation of chirality and correspond to the correction of parton distribution of the leading twist. It is shown that the instantons give a negative contribution to the structure function at the NLO approximation. A comparison between our results, considering instantaon effect, and the case when we do not take this effect is done. Taking into account the instanton size, p, via the modified running coupling constant we get to a good agreement between our results at the NLO and NNLO approximations and the available experimental data, specially at the low values of the Bjorken variable x 〈 0.1 which confirms the validity of our calculations.