On string cosmology and the RG flow in 2d field theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, Latex, BUTP-94/7, Imperial/TP/93-94/29 (some footnotes and references added.)

Scientific paper

10.1016/0550-3213(94)90131-7

Time-dependent solutions of bosonic string theory resemble renormalisation group trajectories in the space of 2d field theories: they often interpolate between repulsive and attractive static solutions. It is shown that the attractive static solutions are those whose spatial sections are minima of |\bar c-25|, where \bar c is the `c-function'. The size of the domain of attraction of such a solution may be a measure of the probability of the corresponding string vacuum. Our discussion has also an implication for the RG flow in theories coupled to dynamical 2d gravity: the flow from models with c>25 to models with c<25 is forbidden.

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