Reply [to “Comment on ‘An evaluation of marginal waters as a natural resource in Israel’ by N. Buras and P. Darr”]

Buras, Nathan; Darr, P.

doi:10.1029/wr017i001p00254

Cited by 7 publications

(9 citation statements)

References 2 publications

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“…The result agrees with that of Ref. [27]. 12 We are assuming flavor non-singlet operators, which differ from singlet operators at the 2-loop level.…”

Section: Choosing µA and Gsupporting

confidence: 89%

Perturbative corrections for staggered fermion bilinears

1993

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We calculate the perturbative corrections to fermion bilinears that are used in numerical simulations when extracting weak matrix 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 contributions. In a companion paper we apply these results to four-fermion operators.

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“…The result agrees with that of Ref. [27]. 12 We are assuming flavor non-singlet operators, which differ from singlet operators at the 2-loop level.…”

Section: Choosing µA and Gsupporting

confidence: 89%

Perturbative corrections for staggered fermion bilinears

1993

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“…27 Parliament also passed a bill amending the Courts Act to allow the MoJ to have an inordinate influence on court presidents. 28 No sooner had he been given the authority to change the personnel of the NCJ, than the MoJ set out to create vacancies at the SC, so that the newly appointed NCJ could fill them with government appointees. In an unprecedented move, the Polish government promoted a bill to remove every single SC judge.…”

Section: Commandeering the Ncj And The Scmentioning

confidence: 99%

The Clash of Powers in Poland’s Rule of Law Crisis: Tools of Attack and Self-Defense

Matczak

2020

Hague J Rule Law

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Many people must be wondering how it is possible that Poland, not so long ago hailed for its exemplary transition from a communist dictatorship to a liberal democracy, could have so swiftly descended into authoritarianism via a crisis in the rule of law. The majority of commentators point to the size and ferocity of the attack on those mechanisms meant to safeguard the rule of law, whereas few focus on the weakness of their defence. This article attempts to redress that imbalance. The crucial facts of the Polish crisis are first presented, and the nature of both the attacks on the rule of law in Poland and the measures taken in its defence are then presented. In describing their defence, this article not only draws on Nicholas Barber's concept of the self-defence of institutions, but attempts to improve upon it in the light of the Polish crisis. Further in the article, I argue that one of the reasons for the success of the assault on the rule of law is the formalistic legal mindset that is prevalent among Polish lawyers. This mindset is characterized by a reductionism of the interpretative premises to be applied when deciding constitutional cases. This reductionism is conspicuous in the application of bright-line rules with no consideration of general constitutional principles. I argue that the development of a robust, non-formalistic methodology of legal decision-making is a prerequisite for a successful defence of the rule of law.

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“…Let us consider a bilinear operator, O SF with spin S and flavor F . In the M S scheme, there are three distinct sets of commutation rules regarding γ 5 : Naive Dimensional Regularization (NDR), Dimensional Reduction (DRED, DREZ), and t'Hooft-Veltman prescription (HV) [23,25,22]. Here, we choose NDR, the most commonly used scheme.…”

Section: B Bilinear Operatorsmentioning

confidence: 99%

“…C Cont S is a finite constant term which depends on the regularization and renormalization scheme. For the NDR scheme [23],…”

Section: B Bilinear Operatorsmentioning

confidence: 99%

Perturbative matching of the staggered four-fermion operators forε′/ε

Lee

2001

Phys. Rev. D

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Using staggered fermions, we calculate the perturbative corrections to the bilinear and four-fermion operators that are used in the numerical study of weak matrix elements for ⑀Ј/⑀. We present results for one-loop matching coefficients between continuum operators, calculated in the naive dimensional regularization ͑NDR͒ scheme, and gauge invariant staggered fermion operators. In particular, we concentrate on Feynman diagrams of the current-current insertion type. We also present results for the tadpole improved operators. These results, combined with existing results for penguin diagrams, provide a complete one-loop renormalization of the staggered four-fermion operators. Therefore, using our results, it is possible to match a lattice calculation of K 0 -K 0 mixing and K→ decays to the continuum NDR results with all corrections of O(g 2 ) included.

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Reply [to “Comment on ‘An evaluation of marginal waters as a natural resource in Israel’ by N. Buras and P. Darr”]

Cited by 7 publications

References 2 publications

Perturbative corrections for staggered fermion bilinears

Perturbative corrections for staggered fermion bilinears

The Clash of Powers in Poland’s Rule of Law Crisis: Tools of Attack and Self-Defense

Perturbative matching of the staggered four-fermion operators forε′/ε

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