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matrix model

Contents

Idea

Matrix models are physical models in which the dynamical quantities are square matrices (in certain class of matrices, e.g. hermitian), in other words, a Lagrangian/Hamiltonian depends on matrix quantities and is usually taken at the limit when the size of matrix tends to infinity.

Matrix models are studied mainly in the context of statistical mechanics (see random matrix theory) or in quantum field theory.

Matrix models that have been argued to capture D-brane dynamics and nonperturbative effects in string theory include

References

First inkling of matrix models from the large N limit of QCD:

Discussion of topological recursion for matrix models originates with

See also

category: physics