SU(N)规范理论中共形相的证据
Evidence for a conformal phase in SU(N) gauge theories
摘要:
本文讨论了四维SU(N)规范理论中共形相的存在性。在这个晶格研究中,我们探索裸参数空间中的模型,改变晶格耦合和裸质量。用三种颜色和十二种味道的动力学交错费米子的基本表象进行了模拟。手性序参量和质谱的理论分析表明,在零温度下的手征对称性的恢复和库仑相的存在下,描绘了一个场景兼容的存在下,在非零耦合的红外稳定的固定点。我们的分析支持这样的结论,即在16个半口味的渐近自由损失之前,类QCD理论的共形窗口的起始小于Nf=12。我们讨论开放的问题和未来的方向。
英文摘要:
We discuss the existence of a conformal phase in SU(N) gauge theories in four dimensions. In this lattice study we explore the model in the bare parameter space, varying the lattice coupling and bare mass. Simulations are carried out with three colors and twelve flavors of dynamical staggered fermions in the fundamental representation. The analysis of the chiral order parameter and the mass spectrum of the theory indicates the restoration of chiral symmetry at zero temperature and the presence of a Coulomb-like phase, depicting a scenario compatible with the existence of an infrared stable fixed point at nonzero coupling. Our analysis supports the conclusion that the onset of the conformal window for QCD-like theories is smaller than Nf=12, before the loss of asymptotic freedom at sixteen and a half flavors. We discuss open questions and future directions.
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