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Triviality of λϕ 4 theory in 3+1‐dimensional spatially flat Robertson‐Walker space in Gaussian approximation
Author(s) -
Pohle Leipzig H.J.
Publication year - 1990
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113110312
Subject(s) - renormalization , ansatz , triviality , physics , gaussian , mathematical physics , space (punctuation) , tensor (intrinsic definition) , adiabatic process , renormalization group , stress–energy tensor , position and momentum space , quantum mechanics , classical mechanics , quantum electrodynamics , mathematics , mathematical analysis , exact solutions in general relativity , geometry , linguistics , philosophy
Abstract We investigate λϕ 4 theory within the Gaussian approximation in spatially flat Robertson‐Walker space in 3+1 dimensions. After having performed an adiabatic expansion for one of the ansatz functions we find that the renormalization of the energy‐momentum tensor provides two additional constraints which have to be satisfied by bare couplings. These conditions force the theory to be trivial after renormalization.