Critical look at the role of the bare parameters in the renormalization of σ-derivable approximations

Urko Reinosa, Z. Szép

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6 Citations (Scopus)

Abstract

We revisit the renormalization of Φ-derivable approximations from a slightly different point of view than the one which is usually followed in previous works. We pay particular attention to the question of the existence of a solution to the self-consistent equation that defines the two-point function in the Cornwall-Jackiw-Tomboulis formalism and to the fact that some of the ultraviolet divergences which appear if one formally expands the solution in powers of the bare coupling do not always appear as divergences at the level of the solution itself. We discuss these issues using a particular truncation of the Φ functional, namely, the simplest truncation which brings nontrivial momentum and field dependence to the two-point function.

Original languageEnglish
Article number045034
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume85
Issue number4
DOIs
Publication statusPublished - Feb 24 2012

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divergence
approximation
formalism
momentum

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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