随机真空模型的世界线投射和QCD的非微扰性质:一般形式及其应用
Worldline Casting of the Stochastic Vacuum Model and Non-Perturbative Properties of QCD: General Formalism and Applications
摘要:
Dosch和Simonov提出的QCD的随机真空模型与基础理论的世界线模型相融合,即QCD。重要的,非微扰功能的模型进行了研究。特别是,与自旋场相互作用的贡献进行了计算,明确证明了环路方程和Bianchi身份的有效性。作为应用,在Regge运动学区域研究了一个介子-介子散射问题。该过程是仿照的“螺旋”威尔逊轮廓线沿Janik和Peschanski在一个相关的研究的基础上AdS/CFT-type的方法。严格地在随机真空模型的框架下工作,在半经典近似方案中,证明了散射振幅的Regge行为。在此基础上,还估计了威尔逊圈边界起伏对计算结果的贡献。
英文摘要:
The Stochastic Vacuum Model for QCD, proposed by Dosch and Simonov, is fused with a Worldline casting of the underlying theory, i.e. QCD. Important, non-perturbative features of the model are studied. In particular, contributions associated with the spin-field interaction are calculated and both the validity of the loop equations and of the Bianchi identity are explicitly demonstrated. As an application, a simulated meson-meson scattering problem is studied in the Regge kinematical regime. The process is modeled in terms of the "helicoidal" Wilson contour along the lines introduced by Janik and Peschanski in a related study based on a AdS/CFT-type approach. Working strictly in the framework of the Stochastic Vacuum Model and in a semiclassical approximation scheme the Regge behavior for the Scattering amplitude is demonstrated. Going beyond this approximation, the contribution resulting from boundary fluctuation of the Wilson loop contour is also estimated.
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