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High Energy Physics - Theory

arXiv:1503.08578 (hep-th)
[Submitted on 30 Mar 2015 (v1), last revised 3 Sep 2015 (this version, v3)]

Title:Equivalence of Wilson Actions

Authors:H. Sonoda
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Abstract:We introduce the concept of equivalence among Wilson actions. Applying the concept to a real scalar theory on a euclidean space, we derive the exact renormalization group transformation of K. G. Wilson, and give a simple proof of universality of the critical exponents at any fixed point of the exact renormalization group transformation. We also show how to reduce the original formalism of Wilson to the simplified formalism by J. Polchinski.
Comments: 21 papges, no figure, LaTeX2e, updated version with Appendices C and D
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph)
Report number: KOBE-TH-15-02
Cite as: arXiv:1503.08578 [hep-th]
  (or arXiv:1503.08578v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1503.08578
Related DOI: https://doi.org/10.1093/ptep/ptv130

Submission history

From: Hidenori Sonoda [view email]
[v1] Mon, 30 Mar 2015 07:55:46 UTC (14 KB)
[v2] Thu, 13 Aug 2015 05:38:03 UTC (14 KB)
[v3] Thu, 3 Sep 2015 02:05:20 UTC (16 KB)
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