论文标题
通过额外的维度来解决杨米尔斯理论的量表
Resolving the scales of the Yang-Mills theory by means of an extra dimension
论文作者
论文摘要
阳米尔斯理论是粒子物理标准模型的一部分。对理论的数学理解的缺乏在理论物理学中脱颖而出。为了解决这个问题，我们观察到，超出标准模型以外的最近提出的通用模型可以通过额外的维度解决晶格正规化的Yang-Mills理论的能量尺度。额外的尺寸确保可以根据定义可用物理系统的所有中间长度尺度。在本文中，我们研究了自由玻色子场的额外维度的作用。我们发现，如果额外的尺寸大小很大，则该模型描述了系统的经典运动。在相反的限制中，我们恢复其标准量子机械运动，而不会丢失信息。因此，在存在额外维度的情况下，国家的希尔伯特空间描述了所有能量尺度的物理现象。该观察结果使我们能够在标准模型以外的理论的原理级别上提高对长度尺度的描述，唯一的建模约束是对应原理。如最近所示，码头不变的汉密尔顿运算符的费尔米基地面能量给出了Yang-Mills理论的特殊晶格正则化。量规场的整合给出了在每个晶格位点沿额外尺寸演变的颜色单式费米 - 抗药性对的纯效率理论。颜色限制直接来自该属性。它允许在大量颜色的极限中提供一个鞍点解决方案。在本文中，我们发现阳米尔斯正规理论的粘合球谱是Hagedron类型的，并以正值为界。我们还显示颜色电荷被筛选，并且夸克式的电位是恒定的。
The Yang-Mills theory is part of the Standard Model of particle physics. The lack of the mathematical understanding of the theory stands out in theoretical physics. In order to address this problem we observe that a recently proposed general model beyond the Standard Model resolves the energy scales of a lattice regularized Yang-Mills theory by means of an extra dimension. The extra dimension ensures that all intermediate length scales of the physical system are available by definition. In this paper we study the role of the extra dimension also in the case of the free boson field. We find that if the extra dimension size is large, the model describes the classical motion of the system. In the opposite limit we recover its standard quantum mechanical motion without loss of information. Therefore, the Hilbert space of states in the presence of the extra dimension describes physical phenomena at all energy scales. This observation allows us to raise the description of length scales by an extra dimension at the level of a principle for the theories beyond the Standard Model, the only modeling constraint being the correspondence principle. As it was shown recently, the fermion ground state energy of a gauge invariant Hamilton operator of Dirac fermions gives a particular lattice regularization of the Yang-Mills theory. Integration of gauge fields gives a pure fermion theory of color singlet fermion-antifermion pairs at each lattice site evolving along the extra dimension. Color confinement follows directly from this property. It allows for a saddle point solution in the limit of a large number of colors. In this paper we find that the glueball spectrum of the Yang-Mills regularized theory is of the Hagedron type and bounded below by a positive value. We show also that the color charge is screened and the quark-antiquark potential is constant.
