Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-12-08
Phys.Rev.D81:076007,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 revtex pages; a coefficient has been corrected in eq. (34), four new references added; final version to appear in Phys. Rev
Scientific paper
10.1103/PhysRevD.81.076007
Looking for an observable manifestation of the so-called unnaturalness of scalar fields we introduce a seemingly new set of differential equations for connected Green functions. These equations describe the momentum dependence of the Green functions and are close relatives to the previously known renormalization group equations. Applying the new equations to the theory of scalar field with $\phi^4$ interaction we identify a relation between the four-point Green function and the propagator which expresses the unnaturalness of the scalar field. Possible manifestations of the unnaturalness at low momenta are briefly discussed.
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