Large N Master Field Optimization for Multi-Matrix Systems - Joao Rodrigues (University of the Witwatersrand, South Africa)

8 Jan 2026, 15:15
1h
Seminar Room (NITheCS, Merensky Building,Stellenbosch University)

Seminar Room

NITheCS, Merensky Building,Stellenbosch University

Merriman Ave, Stellenbosch Central, Stellenbosch, 7600

Speaker

Joao Rodrigues (University of the Witwatersrand, South Africa)

Description

It is shown how large N properties of multi-matrix systems can be obtained by minimization of a loop truncated effective Hamiltonian expressed directly in terms of gauge invariant operators. The large N loop space constraints are handled by the use of master variables. For two and three massless Yang-Mills coupled matrices, highly accurate results for large N planar correlators, as well as spectrum, are presented. Generalization to larger number of matrices, relevant for systems such as BFSS, are discussed.

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