二维反铁磁体的Lorentz协变性和维数交叉
Lorentz Covariance and the Dimensional Crossover of 2d-Antiferromagnets
摘要：
我们推导了二维反铁磁海森堡模型的晶格$β$ -函数，它允许非微扰量子蒙特卡罗真空的晶格相互作用耦合直接与强面间和自旋各向异性存在下的非线性西格玛模型的零温不动点相关.除了通常的重正化的带隙无序态的量子临界点附近，我们表明，这将导致一个手性的激发态的光谱加倍。
英文摘要：
We derive a lattice $β$-function for the 2d-Antiferromagnetic Heisenberg model, which allows the lattice interaction couplings of the nonperturbative Quantum Monte Carlo vacuum to be related directly to the zero-temperature fixed points of the nonlinear sigma model in the presence of strong interplanar and spin anisotropies. In addition to the usual renormalization of the gapful disordered state in the vicinity of the quantum critical point, we show that this leads to a chiral doubling of the spectra of excited states.
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