标题： 手征扩展的量子色动力学 显示英文标题

标题： Chirally Extended Quantum Chromodynamics

摘要： 我们提出了一种扩展量子色动力学（XQCD）拉格朗日量，在其中费米子通过一种保持手征不变性的Yukawa耦合与基本标量场%$\sigma$和$\pi$相互作用。 我们的主要动机是找到QCD的一种新的格点表述方法，以避免通常在裸夸克质量调整到手征极限时遇到的临界减速问题。 研究了XQCD的相图和弱耦合极限。它们暗示了一个猜想，即XQCD的连续极限与常规格点表述QCD的连续极限相同。 作为这种普适性的例子，我们给出了两个原型模型的大N解，这些模型中的虚假pion质量和sigma共振随截止值趋于无穷大。即使这个普适性猜想被证明是错误的，我们相信XQCD仍将在格点上的QCD现象学中作为一个低能有效作用有用。 建议进行数值模拟以进一步研究XQCD提取QCD预测的潜在好处。 附上图形的Postscript文件。搜索字符串“fig11.ps”、“fig22.ps”、“fig33.ps”。 显示英文摘要

摘要： We propose an extended Quantum Chromodynamics (XQCD) Lagrangian in which the fermions are coupled to elementary scalar %$\sigma$ and $\pi$ fields through a Yukawa coupling which preserves chiral invariance. Our principle motivation is to find a new lattice formulation for QCD which avoids the source of critical slowing down usually encountered as the bare quark mass is tuned to the chiral limit. The phase diagram and the weak coupling limit for XQCD are studied. They suggest a conjecture that the continuum limit of XQCD is the same as the continuum limit of conventional lattice formulation of QCD. As examples of such universality, we present the large N solutions of two prototype models for XQCD, in which the mass of the spurious pion and sigma resonance go to infinity with the cut-off. Even if the universality conjecture turns out to be false, we believe that XQCD will still be useful as a low energy effective action for QCD phenomenology on the lattice. Numerical simulations are recommended to further investigate the possible benefits of XQCD in extracting QCD predictions. Postscript files for figures are attached. Search for strings "fig11.ps", "fig22.ps", "fig33.ps".