書誌事項
- 公開日
- 2003-10-23
- DOI
-
- 10.1088/1126-6708/2003/10/057
- 10.48550/arxiv.hep-th/0309262
- 公開者
- Springer Science and Business Media LLC
説明
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.
30 pages, 15 figures, LaTeX; added references for section 1
収録刊行物
-
- Journal of High Energy Physics
-
Journal of High Energy Physics 2003 (10), 057-057, 2003-10-23
Springer Science and Business Media LLC
