Improved continuum limit lattice action for QCD with wilson fermions

Sheikholeslami, B.; Wohlert, R.

doi:10.1016/0550-3213(85)90002-1

Cited by 1,253 publications

(1,598 citation statements)

References 17 publications

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“…The SW-Clover fermion action [15] for the light quarks was used, in the quenched approximation. The treelevel improved [13,14] propagators of the heavy quarks were computed in the static limit.…”

Section: Numerical Resultsmentioning

confidence: 99%

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mixing in the HQET

Gimenez

Martinelli

1997

Physics Letters B

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We present a high statistics, quenched lattice calculation of the B-parameters B B d and B Bs , computed at lowest order in the HQET. The results were obtained using a sample of 600 quenched gauge field configurations, generated by Monte Carlo simulation at β = 6.0 on a 24 3 × 40 lattice. For the light quarks the SW-Clover action was used; the propagator of the lattice HQET was also tree-level improved. Our best estimate of the renormalization scale independent B-parameter isB B d = 1.03 ± 0.06±0.18. B B d has been obtained by using "boosted" perturbation theory to calculate the renormalization constants which relate the matrix elements of the lattice operators to the corresponding amplitudes in the continuum. Due to the large statistics, the errors in the extraction of the matrix elements of the relevant bare operators are rather small. The main systematic error, corresponding to ±0.18 in the above result, comes from the uncertainty in the evaluation of the renormalization constants, for which the one-loop corrections are rather large. The non-perturbative evaluation of these constants will help to reduce the final error. We also obtainB Bs /B B d = 1.01 ± 0.01 and f 2 BsB Bs /f 2 B dB B d = 1.38 ± 0.07.

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Section: Numerical Resultsmentioning

confidence: 99%

“…In our case the tree-level improved SW-Clover action [15] was used and the operators were improved by rotating the light-quark propagators [16].…”

Section: Introductionmentioning

confidence: 99%

mixing in the HQET

Gimenez

Martinelli

1997

Physics Letters B

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“…is the one we are primarily interested in, as well as its O(a)-improved version [2,3]. In these equations, ∇ µ and ∇ * µ denote the gauge-covariant forward and backward difference operators, and m 0 the bare quark mass.…”

Section: Lattice Dirac Operatormentioning

confidence: 99%

“…In run D 1 the coefficient c sw of the Sheikholeslami-Wohlert improvement term [2,3] was set to the value determined by the ALPHA collaboration [14]. A number N cfg of statistically decorrelated gauge-field configurations was generated in each case and later used for the calculation of the gap distributions.…”

Section: Simulation Parametersmentioning

confidence: 99%

“…An infamous exception are the chiral symmetries, and although the symmetry-violating terms vanish proportionally to the lattice spacing (or its square if the theory is Symanzik-improved [2,3]), the presence of these terms complicates the lattice theory considerably. In particular, the fact that the massive Wilson-Dirac operator is not protected from arbitrarily small eigenvalues may lead to instabilities in numerical simulations.…”

Section: Introductionmentioning

confidence: 99%

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Stability of lattice QCD simulations and the thermodynamic limit

Debbio¹,

Giusti²,

Lüscher³

et al. 2006

J. High Energy Phys.

148

253

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We study the spectral gap of the Wilson-Dirac operator in two-flavour lattice QCD as a function of the lattice spacing a, the space-time volume V and the current-quark mass m. It turns out that the median of the probability distribution of the gap scales proportionally to m and that its width is practically equal to a/ √ V . In particular, numerical simulations are safe from accidental zero modes in the large-volume regime of QCD.

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On heated surface transport of heat bearing thermal radiation and MHD Cross flow with effects of nonuniform heat sink/source and buoyancy opposing/assisting flow

et al. 2021

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Heat transport subject to nonlinear thermal radiation has multiple applications in physics, industry, engineering field, and space technology, such as aerodynamic rockets, solar power technology, large open water reservoirs, and gas‐cooled nuclear reactors. This effort studies the magnetohydrodynamic flow of cross fluid, which is a type of non‐Newtonian, along a heated surface. Furthermore, the transportation of heat in the fluid is induced by thermal radiation. Furthermore, the behavior of opposing/assisting flow and impact of nonuniform heat sink/source is scrutinized. The reserved suitable transformations are carried out to shift the ruling equations into nondimensional class. Through reserved transformations, two nonlinear partial differential equations are altered into corresponding nonlinear ordinary differential equations. Then a scheme of integration referred to as Runge–Kutta–Fehlberg is imposed to get a numerical solution of these. The impact of parameters are mentioned concisely on temperature and velocity profiles in the absence and presence of a magnetic parameter. It is proved that the presence of a magnetic field steps up the velocity and temperature as well.

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Improved continuum limit lattice action for QCD with wilson fermions

Cited by 1,253 publications

References 17 publications

mixing in the HQET

mixing in the HQET

Stability of lattice QCD simulations and the thermodynamic limit

On heated surface transport of heat bearing thermal radiation and MHD Cross flow with effects of nonuniform heat sink/source and buoyancy opposing/assisting flow

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