Yang-Mills theories with chiral matter at strong coupling
Yang-Mills theories with chiral matter at strong coupling
复制标题
强耦合下手性物质的杨-米尔斯理论
DOI：
10.1103/physrevd.79.105010
复制
发表时间：
2008
影响因子：
5
通讯作者：
M. Ünsal
中科院分区：
文献类型：
--
作者：
M. Shifman;M. Ünsal
杨-米尔斯理论的强耦合动力学与手征费米子内容仍然在很大程度上难以捉摸，尽管多年来的努力。在这项工作中，我们提出了一个动力学框架，在其中我们可以解决手征，非超对称规范理论，特别是手征的非微扰性质S{sub 1} x R{sub 3}。双迹变形被用来稳定中心对称真空。这允许人们平滑地将较小的（S{sub 1}）连接到较大的（S{sub 1}）物理（R{sub 4}是极限情况），其中双迹变形被关闭。特别是，发生的质量差距的规范部门和线性限制，由于bions的分析证明。我们发现的手征对称实现的模式，这取决于环运营商，一类新的拓扑激发的结构。变形手征理论，不像未变形的，满足体积独立性下降到任意小的体积（一个工作江口河合减少）在大N限制。这种等价性可能为强耦合手征规范场理论开辟新的前景。
Strong coupling dynamics of Yang-Mills theories with chiral fermion content remained largely elusive despite much effort over the years. In this work, we propose a dynamical framework in which we can address non-perturbative properties of chiral, non-supersymmetric gauge theories, in particular, chiral quiver theories on S{sub 1} x R{sub 3}. Double-trace deformations are used to stabilize the center-symmetric vacuum. This allows one to smoothly connect smaller(S{sub 1}) to larger(S{sub 1}) physics (R{sub 4} is the limiting case) where the double-trace deformations are switched off. In particular, occurrence of the mass gap in the gauge sector and linear confinement due to bions are analytically demonstrated. We find the pattern of the chiral symmetry realization which depends on the structure of the ring operators, a novel class of topological excitations. The deformed chiral theory, unlike the undeformed one, satisfies volume independence down to arbitrarily small volumes (a working Eguchi-Kawai reduction) in the large N limit. This equivalence, may open new perspectives on strong coupling chiral gauge theories on R{sub 4}.