On the definition of renormalized field products

We study the redefinition of the field products appearing in a Lagrangian and its equations of motion in a Normal Product framework. We propose a method of defining these products, which give the finite Green's functions, in such a way that the canonical derivation of the equations of motion is...

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Bibliographic Details
Published inAnnals of physics Vol. 105; no. 2; pp. 350 - 366
Main Author Collecott, P.S.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.01.1977
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ISSN0003-4916
1096-035X
DOI10.1016/0003-4916(77)90244-5

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Summary:We study the redefinition of the field products appearing in a Lagrangian and its equations of motion in a Normal Product framework. We propose a method of defining these products, which give the finite Green's functions, in such a way that the canonical derivation of the equations of motion is preserved. This involves the use of the Wilson Expansion in a Dimensionally Regularized form. As an example a ϕ 4, ϕ 3, field theory in four dimensions is fully redefined to the 1-loop level.
ISSN:0003-4916
1096-035X
DOI:10.1016/0003-4916(77)90244-5