Green functions and nonlinear systems: Short time expansion

Details Green functions and nonlinear systems: Short time expansion Green functions and nonlinear systems: Short time expansion

2007-04-12

arxiv.org/abs/0704.1568v3

Int.J.Mod.Phys.A23:299-308,2008

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 3 figures. Version accepted for publication in International Journal of Modern Physics A

Scientific paper

10.1142/S0217751X08038160

We show that Green function methods can be straightforwardly applied to nonlinear equations appearing as the leading order of a short time expansion. Higher order corrections can be then computed giving a satisfactory agreement with numerical results. The relevance of these results relies on the possibility of fully exploiting a gradient expansion in both classical and quantum field theory granting the existence of a strong coupling expansion. Having a Green function in this regime in quantum field theory amounts to obtain the corresponding spectrum of the theory.

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