论文标题
横向热波动障碍如何将手性螺旋的凝结物置入量子旋转液体
How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid
论文作者
论文摘要
对于具有全球$ O（n）$对称性的标量理论，当$ n = 2 $时，当拉格朗日（Lagrangian）的两个空间衍生物的术语中，就会出现空间不均匀的冷凝物。如果这种手性螺旋的冷凝物仅包含一种模式，以动量$ k_0 \ hat {z} $为特征，那么在非零温度下的扰动理论中，当静态模式的传播器具有双极时，当$ \ vec {k}^k}^2 = k_0^2 $。我们猜想，由于手性螺旋自发地打破了全局和时空对称性，因此这种双极是其静态横向模式的普遍特性。双极的波动在任何数量的空间尺寸和无序中产生线性红外差异，手性螺旋的冷凝物类似于类型的量子自旋液体。该区域的特征是，在大空间距离上，两个点函数是通常的指数级时振荡函数。我们证明了这一点，大致$ n $，建议所有$ n> 2 $都会发生这种情况。讨论了对四效模型和QCD的相图的影响。
For a scalar theory with a global $O(N)$ symmetry, when $N=2$ a spatially inhomogeneous condensate arises when the term in the Lagrangian with two spatial derivatives has a negative coefficient. If the condensate for such a chiral spiral includes only one mode, characterized by a momentum $k_0 \hat{z}$, then in perturbation theory at nonzero temperature the propagator for the static mode has a double pole when $\vec{k}^2 = k_0^2$. We conjecture that since chiral spirals spontaneously break both global and spacetime symmetries, that such double poles are a universal property of their static transverse modes. Fluctuations from double poles generate linear infrared divergences in any number of spatial dimensions and disorder the condensate of chiral spirals, analogous to a type of quantum spin liquid. The characteristic feature of this region is that over large spatial distances the two point function is the usual exponential times an oscillatory function. We prove this at large $N$ and suggest this occurs for all $N > 2$. Implications for four-fermion models and the phase diagram of QCD are discussed.
