Abstract
We study the nonequilibrium dynamics of the $\mathrm{O}(N)$ 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 two-particle irreducible $1/N$ expansion. The latter approximations differ through terms of order ${g}^{2},$ where g is the scaled coupling constant, $g=\ensuremath{\lambda}/N.$ In this paper we investigate the statement regarding the convergence with respect to g. The differences between these two approximation schemes are computed and found to be already small for relatively small values of N, when $\ensuremath{\lambda}$ is fixed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
