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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2003, Volume 77, Issue 6, Pages 309–313
(Mi jetpl2757)
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FIELDS, PARTICLES, AND NUCLEI
Feigenbaum universality in String theory
I. I. Koganab, D. Polyakovc a Theoretical Physics, Department of Physics, Oxford University
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center), Moscow
c Department of Physical Sciences, University of Helsinki and Helsinki Institute of Physics
Abstract:
Brane-like vertex operators, defining backgrounds with the ghost-matter mixing in NSR superstring theory, play an important role in a world-sheet formulation of D-branes and M theory, being creation operators for extended objects in the second quantized formalism. In this paper we show that dilaton's beta function in ghost-matter mixing backgrounds becomes stochastic. The renormalization group (RG) equations in ghost-matter mixing backgrounds lead to non-Markovian Fokker-Planck equations which solutions describe superstrings in curved space-times with brane-like metrics. We show that Feigenbaum universality constant $\delta=4,669\dots$ describing transitions from order to chaos in a huge variety of dynamical systems, appears analytically in these RG equations. We find that the appearance of this constant is related to the scaling of relative space-time curvatures at fixed points of the RG flow. In this picture the fixed points correspond to the period doubling of Feigenbaum iterational schemes.
Received: 23.12.2002 Revised: 10.02.2003
Citation:
I. I. Kogan, D. Polyakov, “Feigenbaum universality in String theory”, Pis'ma v Zh. Èksper. Teoret. Fiz., 77:6 (2003), 309–313; JETP Letters, 77:6 (2003), 260–265
Linking options:
https://www.mathnet.ru/eng/jetpl2757 https://www.mathnet.ru/eng/jetpl/v77/i6/p309
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