A non-perturbative exploration of the high energy regime in 
                
                  
                
                $$N_{\mathrm{f}}=3$$
                
                  
                    
                      
                        N
                        f
                      
                      =
                      3
                    
                  
                
               QCD

Brida, Mattia Dalla; Fritzsch, Patrick; Korzec, Tomasz; Ramos, Alberto; Sint, Stefan; Sommer, Rainer

doi:10.1140/epjc/s10052-018-5838-5

Cited by 19 publications

(23 citation statements)

References 37 publications

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“…The ALPHA Collaboration is devoting considerable resources to the determination of the non-perturbative evolution of the renormalised QCD parameters (strong coupling and quark masses) between a hadronic and a perturbative energy scale (µ had ≤ µ ≤ µ pt ). Quark masses are renormalised at µ had ∼ O(Λ QCD ) and evolved to µ pt ∼ O(M W ) [13,[26][27][28][29][30][31][32][33][34][35] in the SF scheme [36,37]. Both renormalisation and RG-running are done nonperturbatively.…”

Section: Quark Masses Renormalisation and Improvementmentioning

confidence: 99%

“…Equation (2.10) is formally exact and independent of perturbation theory as long as the renormalised parameters (g R , m iR ) and the continuum renormalisation group functions (i.e. the Callan-Symanzik β-function and the mass anomalous dimension τ ) are known non-perturbatively with satisfacory accuracy [13,[32][33][34][35]. Their computation in the SF scheme with N f = 3 massless quarks has been carried out in ref.…”

Section: Quark Masses Renormalisation and Improvementmentioning

confidence: 99%

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Light quark masses in $${N_\mathrm{f}=2+1}$$ lattice QCD with Wilson fermions

et al. 2020

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We present a lattice QCD determination of light quark masses with three sea-quark flavours (N f = 2+1). Bare quark masses are known from PCAC relations in the framework of CLS lattice computations with a non-perturbatively improved Wilson-Clover action and a tree-level Symanzik improved gauge action. They are fully non-perturbatively improved, including the recently computed Symanzik counter-term b A − b P . The mass renormalisation at hadronic scales and the renormalisation group running over a wide range of scales are known non-perturbatively in the Schrödinger functional scheme. In the present paper we perform detailed extrapolations to the physical point, obtaining (for the four-flavour theory) m u/d (2 GeV) = 3.54(12)(9) MeV and m s (2 GeV) = 95.7(2.5)(2.4) MeV in the MS scheme. For the mass ratio we have m s /m u/d = 27.0(1.0)(0.4). The RGI values in the three-flavour theory are M u/d = 4.70(15)(12) MeV and M s = 127.0(3.1)(3.2) MeV.

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Section: Quark Masses Renormalisation and Improvementmentioning

confidence: 99%

Section: Quark Masses Renormalisation and Improvementmentioning

confidence: 99%

Light quark masses in $${N_\mathrm{f}=2+1}$$ lattice QCD with Wilson fermions

et al. 2020

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“…Since we have seen that the one-loop anomalous dimension of O b vanishes, this is equivalent to the form used by the ALPHA collaboration recently [43,49].…”

Section: Schrödinger Functionalmentioning

confidence: 92%

“…For the static potential or P F , we refer the reader to [37,39]. Examples with higher orders in perturbation theory and with a combination of improvement of action and observable are found for example in [40][41][42][43].…”

Section: Improved Observablesmentioning

confidence: 99%

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Asymptotic behavior of cutoff effects in Yang–Mills theory and in Wilson’s lattice QCD

2020

Self Cite

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Discretization effects of lattice QCD are described by Symanzik's effective theory when the lattice spacing, a, is small. Asymptotic freedom predicts that the leading asymptotic behavior is ∼ a n min [ḡ 2 (a −1 )]γ 1 ∼ a n min 1 − log(aΛ) γ 1 . For spectral quantities, n min = d is given in terms of the (lowest) canonical dimension, d + 4, of the operators in the local effective Lagrangian andγ 1 is proportional to the leading eigenvalue of their one-loop anomalous dimension matrix γ (0) . We determine γ (0) for Yang-Mills theory (n min = 2) and discuss consequences in general and for perturbatively improved short distance observables. With the help of results from the literature, we also discuss the n min = 1 case of Wilson fermions with perturbative O(a) improvement and the discretization effects specific to the flavor currents. In all cases known so far, the discretization effects are found to disappear faster than the naive ∼ a n min and the log-corrections are a rather weak modification -in contrast to the two-dimensional O(3) sigma model.

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Monopole Condensation and Dynamical Chiral Symmetry Breaking in Dual QCD Formulation

Punetha¹

2021

Springer Proceedings in Materials

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In the non-perturbative regime of SU (3) dual QCD, the phenomena of monopole condensation and dynamical chiral symmetry breaking (DCSB) have been studied, and a non-trivial solution to the dynamical breakdown of chiral symmetry has been obtained from QCD's Schwinger-Dyson equations (SDEs). The dynamically generated quark mass-function represents the fundamental expression to demonstrate DCSB and has been found to be directly proportional to the strong coupling constant and glueball masses. The DCSB appears to be strong for large values of coupling constant and vector glueball mass and therefore ensures QCD-monopole condensation responsible for the color confinement.

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A non-perturbative exploration of the high energy regime in $$N_{\mathrm{f}}=3$$ N f = 3 QCD

Cited by 19 publications

References 37 publications

Light quark masses in $${N_\mathrm{f}=2+1}$$ lattice QCD with Wilson fermions

Light quark masses in $${N_\mathrm{f}=2+1}$$ lattice QCD with Wilson fermions

Asymptotic behavior of cutoff effects in Yang–Mills theory and in Wilson’s lattice QCD

Monopole Condensation and Dynamical Chiral Symmetry Breaking in Dual QCD Formulation

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