无间隙可积模型动力响应的阈值奇异性
Threshold singularities in the dynamic response of gapless integrable models
摘要：
本文发展了一种渐近精确处理无间隙可积模型动态响应函数中阈值奇异性的方法。该方法利用可积性将原问题转化为变形哈密顿量的低能性质。变形哈密顿量是局域的，因此可以用常规的场论方法进行分析。我们将该技术应用到具有最近邻排斥的晶格上的无自旋费米子，并评估动态结构因子中表征阈值奇异性的指数。
英文摘要：
We develop a method of an asymptotically exact treatment of threshold singularities in dynamic response functions of gapless integrable models. The method utilizes the integrability to recast the original problem in terms of the low-energy properties of a certain deformed Hamiltonian. The deformed Hamiltonian is local, hence it can be analysed using the conventional field theory methods. We apply the technique to spinless fermions on a lattice with nearest-neighbors repulsion, and evaluate the exponent characterizing the threshold singularity in the dynamic structure factor.
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