<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Λ</mml:mi></mml:math>-parameter of lattice QCD with Symanzik improved gluon actions

Skouroupathis, A.; Panagopoulos, H.

doi:10.1103/physrevd.76.114514

Cited by 7 publications

(10 citation statements)

References 30 publications

(34 reference statements)

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“…The dotted line represents the propagation of a σ particle. 12 Actually, like in LQCD, NP corrections appear also in other n-point correlators. The ΔLj ad hoc that would describe all these effects is much more complicated than the formula we gave for LQCD.…”

Section: Fig 6 (Color Online)mentioning

confidence: 99%

“…(4.9)-(4.14) persist up to mom 2 ¼ Oðb −2 Þ, and conjecture the asymptotic behavior With the building blocks provided by the NP Oðb 2 Þ corrections to the gluon-gluon-scalar, Q L=R -Q L=R -scalar and Q L=R -Q L=R -scalar-gluon vertices given in Eqs. (4.12)-(4.14), we are in position to compute the leading fermion self-energy diagrams and the structure of 12 This way of estimating NP effects in certain vertices of the model (3.1) can be justified looking at the structure of the relevant Schwinger-Dyson equations.…”

Section: Symanzik Expansionmentioning

confidence: 99%

“…[9] and plotted as a function of a=r 0 after determining the relation between g 2 0 and aΛ QCD =r 0 Λ QCD combining results from Refs. [10][11][12][13][14]. Simulation data are extracted from measurements carried out in a number of LQCD studies employing Wilson fermions.…”

Section: A Some Numericsmentioning

confidence: 99%

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Nonperturbative mechanism for elementary particle mass generation

Frezzotti

Rossi

2015

Phys. Rev. D

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Taking inspiration from lattice QCD data, we argue that a finite nonperturbative contribution to the quark mass is generated as a consequence of the dynamical phenomenon of spontaneous chiral symmetry breaking, in turn triggered by the explicit breaking of chiral symmetry induced by the critical Wilson term in the action. In pure lattice QCD this mass term cannot be separated from the unavoidably associated linearly divergent contribution. However, if QCD is enlarged to a theory where also a scalar field is present, coupled to an SU(2) doublet of fermions via a Yukawa and a Wilson-like term, then in the phase where the scalar field takes a nonvanishing expectation value, a dynamically generated and "naturally" light fermion mass (numerically unrelated to the expectation value of the scalar field) is conjectured to emerge at a critical value of the Yukawa coupling where the symmetry of the model is maximally enhanced. Masses dynamically generated in this way display a natural hierarchy according to which the stronger is the strongest of the interactions the fermion is subjected to, the larger will be its mass.

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Section: Fig 6 (Color Online)mentioning

confidence: 99%

Section: Symanzik Expansionmentioning

confidence: 99%

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Nonperturbative mechanism for elementary particle mass generation

Frezzotti

Rossi

2015

Phys. Rev. D

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“…(Our notations l 0 , l g 0 , l f 0 follow the papers of Panagopoulos and collaborators, e.g., [14]) The relation bewteen g and g 0 up to one loop now follows from (11):…”

Section: γ(A) Has the Loop Expansionmentioning

confidence: 99%

“…This is useful as an intermediate step for relating the MS coupling to the coupling defined in nonperturbative lattice schemes such as the ones based on the static quark potential [1,2] and Schrödinger functional [3,4], and is also needed to translate bare lattice quark masses into the MS scheme (see, e.g., [5,6]). The one loop coefficient in the expansion is of further interest because it determines the ratio of the lattice and MS Λ-parameters [7,8,9,10,11,12,13,14]. Moreover, the one loop coefficient is also needed for determining the two loop relation between the couplings, from which the third term in the lattice beta-function (governing the approach to the continuum limit) can be determined [3,15,16,17,18,19].…”

Section: Introductionmentioning

confidence: 99%

Relation between bare lattice coupling andMS¯coupling at one loop with general lattice fermions

Adams

2008

Phys. Rev. D

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A compact general integral formula is derived from which the fermionic contribution to the one-loop coefficient in the perturbative expansion of the M S coupling in powers of the bare lattice coupling can be extracted. It is seen to reproduce the known results for unimproved naive, staggered and Wilson fermions, and has advantageous features which facilitate the evaluation in the case of improved lattice fermion formulations. This is illustrated in the case of Wilson clover fermions, and an expression in terms of known lattice integrals is obtained in this case which gives the coefficient to much greater numerical accuracy than in the previous literature.

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Scale setting and the light baryon spectrum in Nf = 2 + 1 QCD with Wilson fermions

Bali¹,

Collins²,

Peter³

et al. 2023

J. High Energ. Phys.

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We determine the light baryon spectrum on ensembles generated by the Coordinated Lattice Simulations (CLS) effort, employing Nf = 2 + 1 flavours of non-perturbatively improved Wilson fermions. The hadron masses are interpolated and extrapolated within the quark mass plane, utilizing three distinct trajectories, two of which intersect close to the physical quark mass point and the third one approaching the SU(3) chiral limit. The results are extrapolated to the continuum limit, utilizing six different lattice spacings ranging from a ≈ 0.10 fm down to below 0.04 fm. The light pion mass varies from Mπ ≈ 429 MeV down to 127 MeV. In general, the spatial extent is kept larger than four times the inverse pion mass and larger than 2.3 fm, with additional small and large volume ensembles to investigate finite size effects. We determine the Wilson flow scales $$ \sqrt{t_{0,\textrm{ph}}}={0.1449}_{(9)}^{(7)}\textrm{fm} $$ t 0 , ph = 0.1449 9 7 fm [1] and $$ {t}_0^{\ast}\approx {t}_{0,\textrm{ph}} $$ t 0 ∗ ≈ t 0 , ph [2] from the octet cascade (Ξ baryon). Determining the light baryon spectrum in the continuum limit, we find the nucleon mass $$ {m}_N={941.7}_{(7.6)}^{(6.5)} $$ m N = 941.7 7.6 6.5 MeV and the other stable baryon masses to agree with their experimental values within sub-percent level uncertainties. Moreover, we determine SU(3) and SU(2) chiral perturbation theory low energy constants, including the octet and the Ω baryon sigma terms σπN = 43.9(4.7) MeV, $$ {\sigma}_{\pi \Lambda}={28.2}_{(5.4)}^{(4.3)} $$ σ π Λ = 28.2 5.4 4.3 MeV, $$ {\sigma}_{\pi \Sigma}={25.9}_{(6.1)}^{(3.8)} $$ σ π Σ = 25.9 6.1 3.8 MeV, $$ {\sigma}_{\pi \Xi}={11.2}_{(6.4)}^{(4.5)} $$ σ π Ξ = 11.2 6.4 4.5 and $$ {\sigma}_{\pi \Omega}={6.9}_{(4.3)}^{(5.3)} $$ σ π Ω = 6.9 4.3 5.3 MeV, as well as various parameters, renormalization factors and improvement coefficients that are relevant for simulations with our lattice action.

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Λ-parameter of lattice QCD with Symanzik improved gluon actions

Cited by 7 publications

References 30 publications

Nonperturbative mechanism for elementary particle mass generation

Nonperturbative mechanism for elementary particle mass generation

Relation between bare lattice coupling andMS¯coupling at one loop with general lattice fermions

Scale setting and the light baryon spectrum in Nf = 2 + 1 QCD with Wilson fermions

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