Chaos in M(atrix) theory
โ Scribed by I.Ya. Aref'eva; P.B. Medvedev; O.A. Rytchkov; I.V. Volovich
- Book ID
- 104363940
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 615 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0960-0779
No coin nor oath required. For personal study only.
โฆ Synopsis
We consider the classical and quantum dynamics in M(atrix) theory. Using a simple ansatz we show that a classical trajectory exhibits a chaotic motion. We argue that the holographic feature of M(atrix) theory is related with the repulsive feature of energy eigenvalues in quantum chaotic system. Chaotic dynamics in N = 2 supersymmetric Yang-Mills theory is also discussed. We demonstrate that after the separation of "slow" and "fast" modes there is a singular contribution from the "slow" modes to the Hamiltonian of the "fast" modes.
๐ SIMILAR VOLUMES
I attempt to give a pedagogical introduction to the matrix model of M-theory as developed by BanksD FischlerD Shenker and Susskind @BFSSA. In the rst lectureD I introduce and review the relevant aspects of D-branes with the emergence of the matrix model action. The second lecture deals with the appe