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Euclidean scalar field theory in the bilocal approximation

2018/01/24 by S. Nagy, János Polonyi, J. Polonyi +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cutoff #Euclidean geometry #Euclidean space #Field theory (psychology) #Geometry #Infinitesimal #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum gravity #Quantum mechanics #Renormalization #Renormalization group #Saddle #Saddle point #Scalar (mathematics) #Scalar field theory #Universality (dynamical systems) #hep-th

paper · pdf · doi:10.1103/physrevd.97.085002

published as Phys. Rev. D 97, 085002 (2018) · 23 pages, 5 figures

arxiv created 2018/01/24 · openalex publication_date 2018/04/02 · arxiv updated 2018/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The blocking step of the renormalization group method is usually carried out by restricting it to fluctuations and to local blocked action. The tree-level, bilocal saddle point contribution to the blocking, defined by the infinitesimal decrease of the sharp cutoff in momentum space, is followed within the three dimensional Euclidean \ensuremathφ6 model in this work. The phase structure is changed, new phases and relevant operators are found, and certain universality classes are restricted by the bilocal saddle point.

Citations