Erratum to “Two loop computation of the Schrödinger functional in lattice QCD”

We compute the Schrödinger functional (SF) for the case of lattice QCD with Wilson fermions (with and without SW improvement) at two-loop order in lattice perturbation theory. This allows us to extract the three-loop β-function in the SF-scheme. These results are required to compute the running coupling, the Λ-parameter and quark masses by finite size techniques with negligible systematic errors. In addition our results enable the implementation of two-loop O(a) improvement in SF-simulations. This article is based on the revised version of ref. [11].

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“…In the final section 5 we compute the coefficients in eq.(1.1). A summary of part of this work has already been given in [16].…”

Section: Introductionmentioning

confidence: 99%

Two-loop computation of the Schrödinger functional in lattice QCD

2000

Self Cite

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“…Ref. [7] and references therein) and is presented here with increased accuracy for the c SW -dependent coefficients:…”

Section: Setup Of the Calculation And Resultsmentioning

confidence: 99%

“…Refs. [5][6][7][8]). In fact, we will first compute this two-loop relation, which in turn will allow us to derive b Given the difficulty of this computation, two different strategies have been adopted by each of the authors independently.…”

Section: Introductionmentioning

confidence: 99%

The three-loop β-function of QCD with the clover action

Bode¹,

Panagopoulos²

2002

Nuclear Physics B

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We calculate, to 3 loops in perturbation theory, the bare β-function of QCD, formulated on the lattice with the clover fermionic action. The dependence of our result on the number of colors N , the number of fermionic flavors N f , as well as the clover parameter c SW , is shown explicitly.A direct outcome of our calculation is the two-loop relation between the bare coupling constant g 0 and the one renormalized in the MS scheme.Further, we can immediately derive the three-loop correction to the relation between the lattice Λ-parameter and g 0 , which is important in checks of asymptotic scaling. For typical values of c SW , this correction is found to be very pronounced.

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“…The fermion propagators must be calculated numerically. A recurrence scheme similar to the other propagators is developed and will be described elsewhere [6]. The 9 diagrams involving fermions are summed in position space.…”

Section: Perturbative Expansionmentioning

confidence: 99%

“…Apart from the well known blocking procedure an alternative method has been developed and will be described in [6]. Since further development is in progress and further data are being generated, all results are preliminary.…”

Section: Perturbative Expansionmentioning

confidence: 99%

Two loop lattice expansion of the SchrÃ¶dinger functional coupling in improved QCD

Bode¹

2000

Nuclear Physics B - Proceedings Supplements

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The contributions of the improved fermion action of Sheikholeslami and Wohlert to the two loop coefficient of the expansion of the Schrödinger functional coupling in terms of the lattice coupling are calculated for the gauge group SU(3). These coefficients are required for the second order relation of lattice data to the MS-coupling. By taking into account all improvement coefficients we are able to improve the Schrödinger functional to two loop order. This article is based on the revised version of [9].

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Erratum to “Two loop computation of the Schrödinger functional in lattice QCD”

Cited by 33 publications

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Two-loop computation of the Schrödinger functional in lattice QCD

Two-loop computation of the Schrödinger functional in lattice QCD

The three-loop β-function of QCD with the clover action

Two loop lattice expansion of the SchrÃ¶dinger functional coupling in improved QCD

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