### 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(g^{2}) analogous to the anomalous dimension γ(g^{2}) for spin systems. The value of ζ(g^{2}) at the non-trivial fixed point in 4 + ε{lunate} dimensions gives the exponent η defined by Peskin.

Original language | English (US) |
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Pages (from-to) | 365-368 |

Number of pages | 4 |

Journal | Physics Letters B |

Volume | 103 |

Issue number | 4-5 |

DOIs | |

State | Published - Jul 30 1981 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters B*,

*103*(4-5), 365-368. https://doi.org/10.1016/0370-2693(81)90244-6

**The renormalization group equation for the Wilson loop.** / McKane, Alan J.; Stone, Michael.

Research output: Contribution to journal › Article

*Physics Letters B*, vol. 103, no. 4-5, pp. 365-368. https://doi.org/10.1016/0370-2693(81)90244-6

}

TY - JOUR

T1 - The renormalization group equation for the Wilson loop

AU - McKane, Alan J.

AU - Stone, Michael

PY - 1981/7/30

Y1 - 1981/7/30

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.

UR - http://www.scopus.com/inward/record.url?scp=49049151690&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=49049151690&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(81)90244-6

DO - 10.1016/0370-2693(81)90244-6

M3 - Article

AN - SCOPUS:49049151690

VL - 103

SP - 365

EP - 368

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4-5

ER -