一维费米气体的杂质格林函数
Impurity Green's function of a one-dimensional Fermi-gas
摘要：
考虑自旋为1/2的费米子通过任意强度的$δ$函数排斥势相互作用的一维气体。对于除一个外所有费米子自旋向上的情形，我们计算了自旋向下的费米子的含时两点关联函数。这种杂质格林函数在热力学极限中表示为可积线性积分算子的Fredholm行列式的积分。
英文摘要：
We consider a one-dimensional gas of spin-1/2 fermions interacting through $δ$-function repulsive potential of an arbitrary strength. For the case of all fermions but one having spin up, we calculate time-dependent two-point correlation function of the spin-down fermion. This impurity Green's function is represented in the thermodynamic limit as an integral of Fredholm determinants of integrable linear integral operators.
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