On the path integral representation for quantum spin models and its application to the quantum cavity method and to Monte Carlo simulations

Understand

The cavity method is a well established technique for solving classical spin models on sparse random graphs (mean-field models with finite connectivity).

• Laumann et al.
• [arXiv:0706.4391] proposed recently an extension of this method to quantum spin-1/2 models in a transverse field, using a discretized Suzuki-Trotter imaginary time formalism.
• Here we show how to take analytically the continuous imaginary time limit.