Effective theory for the soft fluctuation modes in the spontaneously broken phase of the N-component scalar field theory

A. Jakovác, P. Petreczky, Zs Szép

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Abstract

The effective dynamics of the low-frequency modes is derived for the (Formula presented) symmetric scalar field theory in the broken symmetry phase. The effect of the high-frequency fluctuations is taken into account at one-loop level exactly. A new length scale is shown to govern the long-time asymptotics of the linear response function of the Goldstone modes. The large time asymptotic decay of an arbitrary fluctuation is determined in the linear regime. We propose a set of local equations for the numerical solution of the effective nonlinear dynamics. The applicability of the usual gradient expansion is carefully assessed.

Original languageEnglish
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume61
Issue number2
DOIs
Publication statusPublished - Jan 1 2000

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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