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|Title:||Relation between bare lattice coupling and MS̅ coupling at one loop with general lattice fermions||Authors:||Adams, David H.||Keywords:||DRNTU::Science||Issue Date:||2008||Source:||Adams, D. (2008). Relation between bare lattice coupling and MS̅ coupling at one loop with general lattice fermions. Physical Review D, 78(1).||Series/Report no.:||Physical review D||Abstract:||A compact general integral formula is derived from which the fermionic contribution to the one-loop coefficient in the perturbative expansion of the MS̅ coupling in powers of the bare lattice coupling can be extracted. It is seen to reproduce the known results for unimproved naive, staggered and Wilson fermions, and has advantageous features which facilitate the evaluation in the case of improved lattice fermion formulations. This is illustrated in the case of Wilson clover fermions, and an expression in terms of known lattice integrals is obtained in this case which gives the coefficient to much greater numerical accuracy than in the previous literature.||URI:||https://hdl.handle.net/10356/104003
|DOI:||http://dx.doi.org/10.1103/PhysRevD.78.014512||Rights:||© 2008 The American Physical Society. This paper was published in Physical Review D and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: [http://dx.doi.org/10.1103/PhysRevD.78.014512]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.||Fulltext Permission:||open||Fulltext Availability:||With Fulltext|
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