TY - JOUR

T1 - Effective theory for the soft fluctuation modes in the spontaneously broken phase of the N-component scalar field theory

AU - Jakovác, A.

AU - Petreczky, P.

AU - Szép, Zs

PY - 2000/1/1

Y1 - 2000/1/1

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevD.61.025006

DO - 10.1103/PhysRevD.61.025006

M3 - Article

AN - SCOPUS:17044388610

VL - 61

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 2

ER -