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cond-mat.stat-mechMar 25, 2003
8
citations (OpenAlex)
authors
  • John Cardy
arXiv abstractPDF
paper

Lecture on Branched Polymers and Dimensional Reduction

arXiv:cond-mat/0302495

Abstract

This is a pedagogical account of the recent results of Brydges and Imbrie, described from the point of view of Grassmann integration. Some simple extensions are pointed out.

17 pages, 3 figures. v2: references updated. v.3: funding acknowledgments added

References in corpus (3)

  • Dimensional Reduction and Crossover to Mean-Field Behavior for Branched Polymers
  • Dimensional Reduction Formulas for Branched Polymer Correlation Functions
  • Branched Polymers and Dimensional Reduction

Cited by in corpus (6)

  • Dimensional reduction in superconducting arrays and frustrated magnets
  • Evidence for Supersymmetry in the Random-Field Ising Model at D = 5
  • Random Field Ising Model and Parisi-Sourlas Supersymmetry. Part II. Renormalization Group
  • The confinement free energies of non-ideal branched polymers and ideal unbranched polymers are the same
  • Dimensional reduction for generalized continuum polymers
  • Conformation of single-stranded RNA in a virus capsid: implications of dimensional reduction
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