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### Lattice Monte Carlo data versus perturbation theory / Chris Allton

Swansea University Author:

Abstract

The differences between lattice Monte Carlo data and perturbation theory are usually associated with the bad'' behaviour of the bare lattice coupling g_0 due to the effects of large (and unknown) higher order coefficients in the g_0 perturbative series. In this philosophy a new, renormal...

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Published: 1996 http://inspirehep.net/record/424611 https://cronfa.swan.ac.uk/Record/cronfa28464 No Tags, Be the first to tag this record!
first_indexed 2016-06-02T18:23:36Z 2018-02-09T05:12:36Z cronfa28464 SURis 2016-08-08T12:37:58.9269093v2284642016-06-02Lattice Monte Carlo data versus perturbation theoryde706a260fa1e1e47430693e135f41c70000-0003-0795-124XChrisAlltonChris Alltontruefalse2016-06-02SPHThe differences between lattice Monte Carlo data and perturbation theory are usually associated with the bad'' behaviour of the bare lattice coupling g_0 due to the effects of large (and unknown) higher order coefficients in the g_0 perturbative series. In this philosophy a new, renormalised coupling g' is defined with the aim of reducing the higher order coefficients of the perturbative series in g'. An improvement in the agreement between lattice data and this new perturbation series is generally observed. In this paper an alternative scenario is discussed where lattice artifacts are proposed as the cause of the disagreement between lattice data and the g_0-perturbative series. We find that this interpretation provides excellent agreement between lattice data and perturbation theory in g_0 corrected for lattice artifacts. We show that this viewpoint leads typically to an order of magnitude improvement in the agreement between lattice data and perturbation theory, compared to typical g' perturbation expansions. The success of this procedure leads to a determination of Lambda_MSbar~{N_f=0} of 220 +- 20 MeV. Lattice data studied includes quenched values of the string tension, the hadronic scale r_0, the discrete beta function Delta\beta, M_rho, f_pi and the 1P-1S splitting in charmonium. The new 3-loop term of the lattice beta- function has been incorporated in this study. A discussion of the implication of this result for lattice calculations is presented.Working paper311219961996-12-31http://inspirehep.net/record/424611COLLEGE NANMEPhysicsCOLLEGE CODESPHSwansea University2016-08-08T12:37:58.92690932016-06-02T15:06:22.2689682College of SciencePhysicsChrisAllton0000-0003-0795-124X1 2016-08-08T12:37:58.9269093 v2 28464 2016-06-02 Lattice Monte Carlo data versus perturbation theory de706a260fa1e1e47430693e135f41c7 0000-0003-0795-124X Chris Allton Chris Allton true false 2016-06-02 SPH The differences between lattice Monte Carlo data and perturbation theory are usually associated with the bad'' behaviour of the bare lattice coupling g_0 due to the effects of large (and unknown) higher order coefficients in the g_0 perturbative series. In this philosophy a new, renormalised coupling g' is defined with the aim of reducing the higher order coefficients of the perturbative series in g'. An improvement in the agreement between lattice data and this new perturbation series is generally observed. In this paper an alternative scenario is discussed where lattice artifacts are proposed as the cause of the disagreement between lattice data and the g_0-perturbative series. We find that this interpretation provides excellent agreement between lattice data and perturbation theory in g_0 corrected for lattice artifacts. We show that this viewpoint leads typically to an order of magnitude improvement in the agreement between lattice data and perturbation theory, compared to typical g' perturbation expansions. The success of this procedure leads to a determination of Lambda_MSbar~{N_f=0} of 220 +- 20 MeV. Lattice data studied includes quenched values of the string tension, the hadronic scale r_0, the discrete beta function Delta\beta, M_rho, f_pi and the 1P-1S splitting in charmonium. The new 3-loop term of the lattice beta- function has been incorporated in this study. A discussion of the implication of this result for lattice calculations is presented. Working paper 31 12 1996 1996-12-31 http://inspirehep.net/record/424611 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-08-08T12:37:58.9269093 2016-06-02T15:06:22.2689682 College of Science Physics Chris Allton 0000-0003-0795-124X 1 Lattice Monte Carlo data versus perturbation theory Lattice Monte Carlo data versus perturbation theory Chris, Allton Lattice Monte Carlo data versus perturbation theory Lattice Monte Carlo data versus perturbation theory Lattice Monte Carlo data versus perturbation theory Lattice Monte Carlo data versus perturbation theory Lattice Monte Carlo data versus perturbation theory de706a260fa1e1e47430693e135f41c7 de706a260fa1e1e47430693e135f41c7_***_Chris, Allton Chris, Allton Chris Allton Working paper 1996 Swansea University College of Science collegeofscience College of Science collegeofscience College of Science Physics{{{_:::_}}}College of Science{{{_:::_}}}Physics http://inspirehep.net/record/424611 0 0 The differences between lattice Monte Carlo data and perturbation theory are usually associated with the bad'' behaviour of the bare lattice coupling g_0 due to the effects of large (and unknown) higher order coefficients in the g_0 perturbative series. In this philosophy a new, renormalised coupling g' is defined with the aim of reducing the higher order coefficients of the perturbative series in g'. An improvement in the agreement between lattice data and this new perturbation series is generally observed. In this paper an alternative scenario is discussed where lattice artifacts are proposed as the cause of the disagreement between lattice data and the g_0-perturbative series. We find that this interpretation provides excellent agreement between lattice data and perturbation theory in g_0 corrected for lattice artifacts. We show that this viewpoint leads typically to an order of magnitude improvement in the agreement between lattice data and perturbation theory, compared to typical g' perturbation expansions. The success of this procedure leads to a determination of Lambda_MSbar~{N_f=0} of 220 +- 20 MeV. Lattice data studied includes quenched values of the string tension, the hadronic scale r_0, the discrete beta function Delta\beta, M_rho, f_pi and the 1P-1S splitting in charmonium. The new 3-loop term of the lattice beta- function has been incorporated in this study. A discussion of the implication of this result for lattice calculations is presented. 1996-12-31T03:43:31Z 1711839968269172736 10.823442