具有非对角开边界的SU(2)不变Thirring模型的精确解

Exact solution of SU(2)-invariant Thirring model with non-diagonal open boundaries

利用量子反散射方法研究了1+1维时空中具有非对角开边界条件下的SU(2)不变Thirring模型.于辅助空间引入独立于谱参量的规范变换,找到了适当的Fock真空态.通过BetheAnsatz方法得到了系统相应转移矩阵的本征值和本征态,及其谱参数所满足的BetheAnsatz方程,并讨论了体系的边界自由度.

The SU（2）-invariant Thirring model with non-diagonal open boundaries in one spatial and one time dimensions is studied in the framework of quantum inverse scattering method. With the help of guage transformation independent of spectral parameter in the auxiliary space, suitable Fock vacuum state is constructed. The eigenvalues and its Bethe Ansatz equations of the transfer matrix are obtained by mean of Bethe Ansatz, and finally the boundary freedom degrees of the system are discussed.