The renormalization group equation for the Wilson loop

Alan J. McKane; Michael Stone

doi:10.1016/0370-2693(81)90244-6

The renormalization group equation for the Wilson loop

Alan J. McKane, Michael Stone

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We formulate the renormalization group equation for Wilson loops in such a way as to make the analogy with spin systems more tranparent. We thus obtain a quantity ζ(g²) analogous to the anomalous dimension γ(g²) for spin systems. The value of ζ(g²) at the non-trivial fixed point in 4 + ε{lunate} dimensions gives the exponent η defined by Peskin.

Original language	English (US)
Pages (from-to)	365-368
Number of pages	4
Journal	Physics Letters B
Volume	103
Issue number	4-5
DOIs	https://doi.org/10.1016/0370-2693(81)90244-6
State	Published - Jul 30 1981

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Nuclear and High Energy Physics

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abstract = "We formulate the renormalization group equation for Wilson loops in such a way as to make the analogy with spin systems more tranparent. We thus obtain a quantity ζ(g2) analogous to the anomalous dimension γ(g2) for spin systems. The value of ζ(g2) at the non-trivial fixed point in 4 + ε{lunate} dimensions gives the exponent η defined by Peskin.",

author = "McKane, {Alan J.} and Michael Stone",

note = "Funding Information: We wish to thank E. Fradkin and J. Stack for useful discussions. AJM wishes to thank Professor J. Kogut and the Physics Department, University of Illinois for their hospitality during the period this work was being carried out. This work was supported in part by NSF grant PHY79-O0272.",

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AU - Stone, Michael

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N2 - We formulate the renormalization group equation for Wilson loops in such a way as to make the analogy with spin systems more tranparent. We thus obtain a quantity ζ(g2) analogous to the anomalous dimension γ(g2) for spin systems. The value of ζ(g2) at the non-trivial fixed point in 4 + ε{lunate} dimensions gives the exponent η defined by Peskin.

AB - We formulate the renormalization group equation for Wilson loops in such a way as to make the analogy with spin systems more tranparent. We thus obtain a quantity ζ(g2) analogous to the anomalous dimension γ(g2) for spin systems. The value of ζ(g2) at the non-trivial fixed point in 4 + ε{lunate} dimensions gives the exponent η defined by Peskin.

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The renormalization group equation for the Wilson loop

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