Perturbative Corrections for Staggered Fermion Bilinears

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We calculate the perturbative corrections to fermion bilinears that are used in numerical simulations when extracting weak matric elements using staggered fermions.This extends previous calculations of Golterman and Smit, and Daniel and Sheard.In particular, we calculate the corrections for non-local bilinears defined in Landau gauge with gauge links excluded.We do this for the simplest operators, i.e. those defined on a 2^4 hypercube, and for tree level improved operators which live on 4^4 hypercubes.We also consider gauge invariant operators in which the "tadpole" contributions are suppressed by projecting the sums of products of gauge links back in to the gauge group.In ... continued below

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Patel, Apoorva & Sharpe, Stephen January 1, 1992.

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We calculate the perturbative corrections to fermion bilinears that are used in numerical simulations when extracting weak matric elements using staggered fermions.This extends previous calculations of Golterman and Smit, and Daniel and Sheard.In particular, we calculate the corrections for non-local bilinears defined in Landau gauge with gauge links excluded.We do this for the simplest operators, i.e. those defined on a 2^4 hypercube, and for tree level improved operators which live on 4^4 hypercubes.We also consider gauge invariant operators in which the "tadpole" contributions are suppressed by projecting the sums of products of gauge links back in to the gauge group.In all cases, we find that the variation in the size of the perturbative corrections is smaller than those with the gauge invariant unimproved operators.This is most strikingly true for the smeared operators.We investigate the efficacy of the mean-field method of Lepage and Mackenzie at summing up tadpole

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  • Journal Name: Nuclear Physics B

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  • Report No.: CEBAF-TH-92-20
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 954334
  • Archival Resource Key: ark:/67531/metadc931095

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  • January 1, 1992

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  • Nov. 13, 2016, 7:26 p.m.

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  • Nov. 30, 2016, 4:24 p.m.

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Patel, Apoorva & Sharpe, Stephen. Perturbative Corrections for Staggered Fermion Bilinears, article, January 1, 1992; [Newport News, Virginia]. (digital.library.unt.edu/ark:/67531/metadc931095/: accessed November 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.