摘要翻译：
在这篇论文中，我们考虑了具有多位交换的QCD和递归晶格中的一些自旋效应。我们手稿的主要主题是定义在递归晶格上的自旋系统中的临界现象。该方法的主要工具是递归（层次）格方法。我们应用动力学映射（或递归格子）方法研究了流体和固体的磁性、晶体和大分子的相变。首先，我们分析了多肽和蛋白质的螺旋-线圈相变，并描述了螺旋度（大分子的序参量）的准展开转变（类似于冷变性过程）。接下来我们考虑了在正方形格、Husimi格和六边形格上定义的$^3$He的递归模型。利用动力学映射的方法，得到了具有平台、分叉点和倍周期的磁化曲线。然后我们研究了定义在Bethe晶格上的立方对称模型，该模型同时包含线性和二次自旋-自旋相互作用。计算了系统的磁化强度，观察到了无序态、部分有序态和完全有序态之间复杂的相变结构。在QCD框架下，我们考虑了轻子-核子深度非弹性散射(DIS)中重味产生的方位不对称性。我们计算了下一个领先阶重夸克引发贡献对DIS的方位角（或$\phi$-)依赖关系。结果表明，与胶子引发的基本成分相反，光子-夸克散射机制实际上是$\cos2\phi$无关的。我们研究了利用$\cos2\phi$非对称性测量非扰动（本征）和扰动(CTEQ，MRST)魅力分布的可能性。
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英文标题：
《Spin Effects in Quantum Chromodynamics and Recurrence Lattices with
  Multi-Site Exchanges》
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作者：
Lev Ananikyan
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：High Energy Physics - Phenomenology        高能物理-现象学
分类描述：Theoretical particle physics and its interrelation with experiment. Prediction of particle physics observables: models, effective field theories, calculation techniques. Particle physics: analysis of theory through experimental results.
理论粒子物理及其与实验的相互关系。粒子物理可观测物的预测：模型，有效场论，计算技术。粒子物理：通过实验结果分析理论。
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英文摘要：
  In this thesis, we consider some spin effects in QCD and recurrence lattices with multi-site exchanges. Main topic of our manuscript are critical phenomena in spin systems defined on the recurrence lattices. Main tool of our approach is the method of recursive (hierarchical) lattices. We apply the method of dynamical mapping (or recursive lattices) for investigation of magnetic properties of the fluid and solid $^3$He, phase transitions in crystals and macromolecules. First, we analyze the helix-coil phase transition for polypeptides and proteins, and describe an quasi unfolding transition (like the cold denaturation process) for the degree of helicity (the order parameter for macromolecules). Next we consider the recurrent models of $^3$He defined on the square, Husimi and hexagon lattices. Using the method of dynamical mapping, the magnetization curves with plateaus, bifurcation point and one period doubling are obtained. Then we investigate the model with cubic symmetry defined on the Bethe lattice and containing both linear and quadratic spin-spin interactions. The magnetization of the system is calculated, and a complex structure of the phase transitions between the disordered, partially ordered and completely ordered states is observed. In the framework of QCD, we consider the azimuthal asymmetries in heavy flavor production in the lepton-nucleon deep inelastic scattering (DIS). We calculate the azimuthal (or $\phi$-) dependence of the next-to-leading order heavy-quark-initiated contributions to DIS. It is shown that, contrary to the basic gluon-initiated component, the photon-quark scattering mechanism is practically $\cos2\phi$-independent. We investigate the possibility of measuring both nonperturbative (intrinsic) and perturbative (CTEQ, MRST) charm distributions using the $\cos2\phi$ asymmetry.
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PDF链接：
https://arxiv.org/pdf/705.1932