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Non-perturbative scaling in the scalar theory
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hep-th
hep-ph
keywords
scalarscalingtheoryapproachbehaviorclassconditionsdata
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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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