Comments on Large N Matrix Model

TL;DR

This paper investigates the large N matrix model focusing on quantum fluctuations, deriving Feynman rules, and exploring divergences, with insights into D-instanton configurations and their relation to quantum field theory.

Contribution

It provides explicit Feynman rules for the large N matrix model and links D-instanton backgrounds to momentum space discretization in QFT.

Findings

Derived Feynman rules for the matrix model

Connected D-instantons to momentum discretization

Analyzed divergence structures analogous to UV divergences

Abstract

The large N Matrix model is studied with attention to the quantum fluctuations around a given diagonal background. Feynman rules are explicitly derived and their relation to those in usual Yang-Mills theory is discussed. Background D-instanton configuration is naturally identified as a discretization of momentum space of a corresponding QFT. The structure of large N divergence is also studied on the analogy of UV divergences in QFT.