Phys. Rev. D 23, 2340–2348 (1981)Relationship between lattice and continuum definitions of the gauge-theory couplingReceived 21 July 1980; published in the issue dated 15 May 1981 We generalize the background-field method to lattice gauge theories. By evaluating the lattice partition function in a weak background lattice field for weak coupling we determine the relationship between the lattice definition of the coupling and that of dimensional regularization. This corresponds to a determination of the ratio of the renormalization scale parameters for these definitions. We find, for an SU(N) lattice gauge theory with the Wilson action, that (ΛM̅ S̅ /ΛL)SU(N)=38.852704exp(-3π2/11N2). © 1981 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.23.2340
DOI:
10.1103/PhysRevD.23.2340
PACS:
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