Numerical Loop Space for Multi-matrix systems

Abstract: We revisit the problem of solving multi-matrix quantum mechanics, at large $N$, numerically. The approach adopted uses collective field theory to give a loop space representation of the dynamics, leading to a constrained optimization problem. The constraint is solved using a master-field parametrization. The complete fluctuation spectrum is also computable in the above scheme, and is of immediate physical relevance. The numerical results presented prove that this approach solves, by numerical loop space methods, the general two matrix model problem.

condensed matterHEP - theory

Audience: researchers in the topic

Numerical Methods in Theoretical Physics