从算子乘积展开得到强相互作用费米气体的精确关系
Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
摘要：
正如陈希纳所指出的那样，在具有两个自旋态和较大散射长度的费米气体中，动量分布有一个拖尾，在动量k较大时，拖尾会像1/k^4那样下降。他用新的方法来推导出精确的关系系数的尾巴在动量分布和各种其他性质的系统。我们利用量子场的算子乘积展开给出了这些关系式的简单推导。我们确定的系数作为一个局部算子的期望值的空间上的积分，该算子测量对的密度。
英文摘要：
The momentum distribution in a Fermi gas with two spin states and a large scattering length has a tail that falls off like 1/k^4 at large momentum k, as pointed out by Shina Tan. He used novel methods to derive exact relations between the coefficient of the tail in the momentum distribution and various other properties of the system. We present simple derivations of these relations using the operator product expansion for quantum fields. We identify the coefficient as the integral over space of the expectation value of a local operator that measures the density of pairs.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
