Real-time dynamics of the O(N) model in 1+1 dimensions

Abstract

We study the non-equilibrium dynamics of the O(N) model in classical and quantum field theory in 1+1 dimensions, for N > 1. We compare numerical results obtained using the Hartree approximation and two next to leading order approximations, the bare vertex approximation and the 2PI-1/N expansion. The later approximations differ through terms of order g^2, where g is the scaled coupling constant, g=λ/N. In this paper we investigate the statement regarding the convergence with respect to g. We find that the differences between these twoapproximation schemes diminish for larger values of N, when λis fixed.

arXiv comment6 pages, 5 figures

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Cited by in corpus (12)

• Quantum dynamics and thermalization for out-of-equilibrium phi^4-theory
• Tachyonic preheating using 2PI-1/N dynamics and the classical approximation
• Equilibration in phi^4 theory in 3+1 dimensions
• Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
• Shear Viscosity in the O(N) Model
• Far-from-equilibrium quantum many-body dynamics
• Transport coefficients in large N_f gauge theories with massive fermions
• BCS-BEC crossover with a finite-range interaction
• Renormalizing the Schwinger-Dyson equations in the auxiliary field formulation of $\lambda {\varphi }^4$ field theory
• Renormalized broken-symmetry Schwinger-Dyson equations and the 2PI-1/N expansion for the O(N) model
• Auxiliary field approach to dilute Bose gases with tunable interactions
• Quantum dynamics of Phi**4 field theory beyond leading order in 1+1 dimensions