Speaker
Description
Matrix models offer a framework in which spacetime can emerge dynamically without assuming a fixed background geometry. Supersymmetric Yang–Mills matrix models are particularly interesting from a physical perspective, but their numerical study is hindered by the sign problem associated with the complex Pfaffian. A possible approach to this difficulty is the regularized master-field approximation, which systematically approximates the large-N theory using finite-dimensional matrices. The large-N theory is regularized by requiring a finite set of Schwinger–Dyson equations to be satisfied as accurately as possible, thereby avoiding the sign problem in principle. In this work, we apply the regularized master-field approximation to mass-deformed supersymmetric Yang–Mills matrix models and demonstrate that it enables efficient and high-precision numerical calculations.