Published November 2003 | Version v1
Journal article Metadata-only

Ghost-matter mixing and Feigenbaum universality in string theory

Creators

  • 1. ITEP, Moscow (Russian Federation)
  • 2. Theoretical Physics, Dept. of Physics, Oxford Univ., Oxford (United Kingdom)
  • 3. Dept. of Physical Sciences, Univ. of Helsinki, Helsinki Inst. of Physics, Helsinki (Finland)

Description

Brane-like vertex operators, defining backgrounds with the ghost-matter mixing in Neveu -Schwarz-Ramond superstring theory, play an important role in world-sheet formulation of D-branes and M-theory. It is shown that dilaton 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. It is also shown that Feigenbaum universality constant δ = 4.669..., describing transitions from order to chaos in a huge variety of dynamical systems, appears analytically in these RG equations

Abstract (Russian)

Новые вершинные операторы, описывающие браны в теории струны, приводят к смешиванию материи с духами на мировом листе. Изучается влияние этого смешивания на ренормгрупповые потоки на мировом листе на примере дилатонной β-функции. Показано, что вследствие смешивания материи с духами ренормгрупповые уравнения становятся стохастическими и приводят к немарковским уравнениям Фоккера-Планка. Показано, что в этих уравнениях возникает знаменитая константа Фейгенбаума δ = 4.669..., описывающая переход к хаосу

Additional details

Publishing Information

Journal Title
Yadernaya Fizika
Journal Volume
66
Journal Issue
11
Journal Page Range
p. 2111-2118
ISSN
0044-0027
CODEN
IDFZA7

Conference

Title
Current directions in classical approaches, dedicated to eighty-year of K.A. Ter-Martirosyan
Acronym
International seminar
Dates
30 Sep - 1 Oct 2002
Place
Moscow (Russian Federation)

INIS

Country of Publication
Russian Federation
Country of Input or Organization
Russian Federation
INIS RN
36084487
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
FOKKER-PLANCK EQUATION; RENORMALIZATION; SPACE-TIME; STOCHASTIC PROCESSES; SUPERSTRING MODELS; VERTEX FUNCTIONS
Descriptors DEC
COMPOSITE MODELS; DIFFERENTIAL EQUATIONS; EQUATIONS; EXTENDED PARTICLE MODEL; FUNCTIONS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; QUARK MODEL; STRING MODELS

Optional Information

Notes
11 refs.