Critical hopping parameter in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:mi>a</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>improved lattice QCD

Panagopoulos, H.; Proestos, Yiannis

doi:10.1103/physrevd.65.014511

Cited by 23 publications

(29 citation statements)

References 15 publications

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“…Its value is known to two loops for Wilson fermions: [30] (confirmed independently in [31]), and for clover fermions: [32] (with Wilson gluons), [33] (with Symanzik gluons).…”

Section: F Fermion Mass Renormalizationmentioning

confidence: 99%

Two-loop renormalization of scalar and pseudoscalar fermion bilinears on the lattice

Skouroupathis

Panagopoulos

2007

Phys. Rev. D

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We compute the two-loop renormalization functions, in the RI ′ scheme, of local bilinear quark operatorsψΓψ, where Γ denotes the Scalar and Pseudoscalar Dirac matrices, in the lattice formulation of QCD. We consider both the flavor non-singlet and singlet operators; the latter, in the scalar case, leads directly to the two-loop fermion mass renormalization, Z m .As a prerequisite for the above, we also compute the quark field renormalization, Z ψ , up to two loops.We use the clover action for fermions and the Wilson action for gluons. Our results are given as a polynomial in c SW , in terms of both the renormalized and bare coupling constant, in the renormalized Feynman gauge. We also confirm the 1-loop renormalization functions, for generic gauge.Finally, we present our results in the M S scheme, for easier comparison with calculations in the continuum.The corresponding results, for fermions in an arbitrary representation, are included in an Appendix.

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“…Its value is known to two loops for Wilson fermions: [30] (confirmed independently in [31]), and for clover fermions: [32] (with Wilson gluons), [33] (with Symanzik gluons).…”

Section: F Fermion Mass Renormalizationmentioning

confidence: 99%

Two-loop renormalization of scalar and pseudoscalar fermion bilinears on the lattice

Skouroupathis

Panagopoulos

2007

Phys. Rev. D

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“…Ref. [8] suggests that this mis-tuning is reduced to 1% for the highest values of β in this work, 11 < β < 12.…”

Section: Tuning the Critical Massmentioning

confidence: 99%

“…We determined the critical mass for each value of the bare coupling constant using the twoloop cactus improved critical mass of [8]. We estimate that the resulting value of the critical mass is mis-tuned by approximately 18% at β = 6.0, 15% at β = 6.1 and 12% at β = 6.3, by comparing the perturbative predictions to the nonperturbative results quoted in [9].…”

Section: Tuning the Critical Massmentioning

confidence: 99%

Finite volume renormalization scheme for fermionic operators

Monahan¹,

Orginos²

2014

Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013)

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“…Details on the definition of dm as well as a 2-loop calculation of dm with the same actions can be found in Ref. [6,7,8]. The result of the 1-loop diagrams contributing to dm 1−loop can be written as a polynomial in the clover parameter, and is independent of the number of fermion flavors N f .…”

Section: Critical Mass Of Clover Fermionsmentioning

confidence: 99%

Improving perturbation theory with cactus diagrams

Constantinou¹

2006

Proceedings of XXIVth International Symposium on Lattice Field Theory — PoS(LAT2006)

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We study a systematic improvement of perturbation theory for gauge fields on the lattice [1]; the improvement entails resumming, to all orders in the coupling constant, a dominant subclass of tadpole diagrams. This method, originally proposed for the Wilson gluon action [2], is extended here to encompass all possible gluon actions made of closed Wilson loops; any fermion action can be employed as well. The effect of resummation is to replace various parameters in the action (coupling constant, Symanzik and clover coefficient) by "dressed" values; the latter are solutions to certain coupled integral equations, which are easy to solve numerically. Some positive features of this method are: a) It is gauge invariant, b) it can be systematically applied to improve (to all orders) results obtained at any given order in perturbation theory, c) it does indeed absorb in the dressed parameters the bulk of tadpole contributions. Two different applications are presented: The additive renormalization of fermion masses, and the multiplicative renormalization Z V (Z A ) of the vector (axial) current. In many cases where non-perturbative estimates of renormalization functions are also available for comparison, the agreement with improved perturbative results is consistently better as compared to results from bare perturbation theory.

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Critical hopping parameter inO(a)improved lattice QCD

Cited by 23 publications

References 15 publications

Two-loop renormalization of scalar and pseudoscalar fermion bilinears on the lattice

Two-loop renormalization of scalar and pseudoscalar fermion bilinears on the lattice

Finite volume renormalization scheme for fermionic operators

Improving perturbation theory with cactus diagrams

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