Renormalization theory in four-dimensional scalar fields (I) | Zendy

Giovanni Gallavotti | Zendy; F. Nicol� | Zendy

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Renormalization theory in four-dimensional scalar fields (I)

Author(s) -

Giovanni Gallavotti,

F. Nicol�

Publication year - 1985

Publication title -

communications in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.662

H-Index - 152

eISSN - 1432-0916

pISSN - 0010-3616

DOI - 10.1007/bf01217729

Subject(s) - renormalization , renormalization group , scalar (mathematics) , functional renormalization group , scalar field theory , mathematical physics , simple (philosophy) , physics , mathematics , asymptotic safety in quantum gravity , quantum mechanics , quantum gravity , quantum , geometry , philosophy , epistemology

We present a renormalization group approach to the renormaliza-tion theory of $\varphy^4_4$, using techniques that have been introducedand used in previous papers and that lead to very simple methods to boundthe coefficients of the effective potential and of the Schwingerfunctions. The main aim of this paper is to show how one can in this wayobtain the $n!$-bounds

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