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Prog. Theor. Phys. Supplement No.107 (1992) pp. 229-242
Vector-Model Approach to Non-Perturbative Theory of Random Filaments
Tamiaki Yoneya
Institute of Physics, University of Tokyo, Komaba, Tokyo 153
Abstract:
It is explained how vector models can be used to describe the physics
of random filaments with arbitrary random branches. The continuum
limit is obtained in the large-N limit by taking a double scaling
limit which is analogous to that in the matrix models. The models
exhibit various interesting properties, such as, nonperturbative
instability, connection with the KP hierarchy, Virasoro structure,
among others, which can be compared with the corresponding behaviors
of the matrix models. When the target space is a continuum, the
critical theories in the scaling limit are equivalent with
superrenormalizable local field theories and the fractal dimensions of
the random filaments are given by 2k/(k-1) (k=2, 3, …) at the
k-th critical point.
URL :
http://ptp.ipap.jp/link?PTPS/107/229/
DOI : 10.1143/PTPS.107.229
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