• DOI:10.1088/1126-6708/2003/10/057
• Corpus ID: 10761604

Testing the gaussian expansion method in exactly solvable matrix models

@article{Nishimura2003TestingTG,
  title={Testing the gaussian expansion method in exactly solvable matrix models},
  author={Jun Nishimura and Toshiyuki Okubo and Fumihiko Sugino},
  journal={Journal of High Energy Physics},
  year={2003},
  volume={2003},
  pages={057-057}
}

• J. Nishimura, Toshiyuki Okubo, Fumihiko Sugino
• Published 30 September 2003
• Physics
• Journal of High Energy Physics

The gaussian expansion has been developed since early 80s as a powerful analytical method, which enables nonperturbative studies of various systems using `perturbative' calculations. Recently the method has been used to suggest that 4d space-time is generated dynamically in a matrix model formulation of superstring theory. Here we clarify the nature of the method by applying it to exactly solvable one-matrix models with various kinds of potential including the ones unbounded from below and of the double-well type. We also formulate a prescription to include a linear term in the gaussian action in a way consistent with the loop expansion, and test it in some concrete examples. We discuss a case where we obtain two distinct plateaus in the parameter space of the gaussian action, corresponding to different large-N solutions. This clarifies the situation encountered in the dynamical determination of the space-time dimensionality in the previous works.