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math-phDec 1, 2012
20
citations (OpenAlex)
authors
  • J. Dimock
institutions
  • University at Buffalo, State University of New York
arXiv abstractPDF
paper

The Renormalization Group According to Balaban - II. Large fields

arXiv:1212.5562 · doi:10.1063/1.4821275

Abstract

This is an expository account of Balaban's approach to the renormalization group. The method is illustrated with a treatment of the the ultraviolet problem for the scalar phi^4 model on toroidal lattice in dimension d=3. In this second paper we control the large field contribution to the partition function.

94 pages, minor changes

References in corpus (2)

  • The Renormalization Group According to Balaban - I. Small fields
  • The Renormalization Group According to Balaban - III. Convergence

Cited by in corpus (13)

  • Hamiltonian Renormalisation I: Derivation from Osterwalder-Schrader Reconstruction
  • Action principle for OPE
  • Hamiltonian Renormalisation IV. Renormalisation Flow of D+1 dimensional free scalar fields and Rotation Invariance
  • The Renormalization Group According to Balaban - III. Convergence
  • Snowmass White Paper: The Quest to Define QFT
  • Nonperturbative renormalization of scalar QED in d=3
  • Stability for QED in d=3: an overview
  • Mass Gap in weakly coupled abelian Higgs on a unit lattice
  • Ultraviolet Stability for QED in d=3
  • Multiscale block averaging for QED in d=3
  • Mass Gap in U(1) Higgs-Yukawa model on a unit lattice
  • Ultraviolet regularity for QED in d=3
  • Asymptotics for Some Logistic Maps and the Renormalization Group
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