Three-loop beta function and non-perturbative αs in asymmetric momentum scheme | Zendy

P. Boucaud | Zendy; J. P. Leroy | Zendy; Jacques Micheli | Zendy; O. Pène | Zendy; C. Roiesnel | Zendy

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Three-loop beta function and non-perturbative α_s in asymmetric momentum scheme

Author(s) -

P. Boucaud,

J. P. Leroy,

Jacques Micheli,

O. Pène,

C. Roiesnel

Publication year - 1998

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1998/12/004

Subject(s) - physics , lambda , lattice (music) , coupling constant , particle physics , quantum chromodynamics , quark , loop (graph theory) , beta (programming language) , lattice qcd , momentum (technical analysis) , lattice gauge theory , lattice constant , gauge theory , quantum electrodynamics , mathematical physics , quantum mechanics , mathematics , combinatorics , economics , finance , computer science , acoustics , diffraction , programming language

We determine the three-loop coefficient of the beta function in theasymmetric momentum subtraction scheme in Landau gauge. This scheme isconvenient for lattice studies of \alpha_s, the running coupling constant ofQCD. We present high statistics lattice results for \alpha_s in the SU(3)Yang-Mills theory without quark, compare with the three-loop running andextract the value of the corresponding \Lambda_\msbar parameter. We estimatethe systematic error coming from four-loop terms. We obtain the result:\Lambda_\msbar = 295 (5) (15) {a^{-1}(\beta=6.0) \over 1.97 GeV} MeV.Comment: 9 pages, LaTeX with two figures. The final analysis has been revisited to include an estimation of the systematic error coming from higher-order term

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