Non-perturbative scaling in the scalar theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, RevTeX

Scientific paper

10.1103/PhysRevD.62.027701

A new approach to study the scaling behavior of the scalar theory near the
Gaussian fixed point in $d$-dimensions is presented. For a class of initial
data an explicit use of the Green's function of the evolution equation is made.
It is thus discussed under which conditions non-polynomial relevant
interactions can be generated by the renormalization group flow.

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