Renormalization of Higher Derivative Operators in the Matrix Model

Details Renormalization of Higher Derivative Operators in the Matrix Model Renormalization of Higher Derivative Operators in the Matrix Model

1998-05-01

arxiv.org/abs/hep-th/9805007v3

Phys.Lett. B444 (1998) 103-110

Physics

High Energy Physics

High Energy Physics - Theory

14 pages latex. Note added in light of recent developments

Scientific paper

10.1016/S0370-2693(98)01354-9

$M$-theory is believed to be described in various dimensions by large $N$ field theories. It has been further conjectured that at finite $N$, these theories describe the discrete light cone quantization (DLCQ) of $M$ theory. Even at low energies, this is not necessarily the same thing as the DLCQ of supergravity. It is believed that this is only the case for quantities which are protected by non-renormalization theorems. In 0+1 and 1+1 dimensions, we provide further evidence of a non-renormalization theorem for the $v^4$ terms, but also give evidence that there are not such theorems at order $v^8$ and higher.

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