Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-03-18
Phys.Rev. D68 (2003) 036002
Physics
High Energy Physics
High Energy Physics - Phenomenology
6 pages, 5 figures
Scientific paper
10.1103/PhysRevD.68.036002
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=\lambda/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 \lambda is fixed.
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