scholarly journals Non-perturbative renormalization of quark mass in N f = 2 + 1 QCD with the Schrödinger functional scheme

2010 ◽  
Vol 2010 (8) ◽  
Author(s):  
S. Aoki ◽  
◽  
K.-I. Ishikawa ◽  
N. Ishizuka ◽  
T. Izubuchi ◽  
...  
Keyword(s):  
Quark Mass ◽  
Functional Scheme ◽  
Perturbative Renormalization

scholarly journals Non-perturbative renormalization in domain-wall QCD by Schrödinger functional scheme

2002 ◽  
Vol 106-107 ◽  
pp. 844-846
Author(s):  
S. Aoki ◽  
Y. Aoki ◽  
S. Ejiri ◽  
M. Fukugita ◽  
S. Hashimoto ◽  
...  
Keyword(s):  
Domain Wall ◽  
Functional Scheme ◽  
Perturbative Renormalization

scholarly journals Non-perturbative determination of improvement coefficients $$b_\mathrm{m}$$ and $$b_\mathrm{A}-b_\mathrm{P}$$ and normalisation factor $$Z_\mathrm{m}Z_\mathrm{P}/Z_\mathrm{A}$$ with $$N_\mathrm{f}= 3$$ Wilson fermions

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
Giulia Maria de Divitiis ◽  
Patrick Fritzsch ◽  
Jochen Heitger ◽  
Carl Christian Köster ◽  
Simon Kuberski ◽  
...  
Keyword(s):  
Large Volume ◽  
Quark Mass ◽  
Gauge Coupling ◽  
Perturbative Calculation ◽  
Quark Masses ◽  
Functional Scheme ◽  
Normalisation Factor ◽  
Mass Renormalisation ◽  
Wilson Fermions

Abstract We determine non-perturbatively the normalisation parameter $$Z_\mathrm{m}Z_\mathrm{P}/Z_\mathrm{A}$$ZmZP/ZA as well as the Symanzik coefficients $$b_\mathrm{m}$$bm and $$b_\mathrm{A}-b_\mathrm{P}$$bA-bP, required in $$\mathrm{O}(a)$$O(a) improved quark mass renormalisation with Wilson fermions. The strategy underlying their computation involves simulations in $$N_\mathrm{f}=3$$Nf=3 QCD with $$\mathrm{O}(a)$$O(a) improved massless sea and non-degenerate valence quarks in the finite-volume Schrödinger functional scheme. Our results, which cover the typical gauge coupling range of large-volume $$N_\mathrm{f}=2+1$$Nf=2+1 QCD simulations with Wilson fermions at lattice spacings below $$0.1\,\mathrm{fm}$$0.1fm, are of particular use for the non-perturbative calculation of $$\mathrm{O}(a)$$O(a) improved renormalised quark masses.

scholarly journals Perturbative vs non-perturbative renormalization: the case of the quark mass

2011 ◽  
Author(s):  
Francesco Di Renzo ◽  
Michele Brambilla ◽  
Luigi Scorzato
Keyword(s):  
Quark Mass ◽  
Perturbative Renormalization

A hybrid Gaussian and plane wave density functional scheme

1997 ◽  
Vol 92 (3) ◽  
pp. 477-487 ◽  
Author(s):  
GERALD LIPPERT ◽  
JuRG HUTTER ◽  
MICHELE PARRINELLO
Keyword(s):  
Plane Wave ◽  
Density Functional ◽  
Functional Scheme

Water, Water, Here and There

2018 ◽  
Author(s):  
Steven E. Vigdor
Keyword(s):  
Quark Mass ◽  
Mass Difference ◽  
Baryon Number ◽  
Electroweak Phase Transition ◽  
Hydrogen Burning ◽  
Quark Masses ◽  
Grand Unified Theories ◽  
Down Quark ◽  
Unified Theories ◽  
The Stability

Chapter 4 deals with the stability of the proton, hence of hydrogen, and how to reconcile that stability with the baryon number nonconservation (or baryon conservation) needed to establish a matter–antimatter imbalance in the infant universe. Sakharov’s three conditions for establishing a matter–antimatter imbalance are presented. Grand unified theories and experimental searches for proton decay are described. The concept of spontaneous symmetry breaking is introduced in describing the electroweak phase transition in the infant universe. That transition is treated as the potential site for introducing the imbalance between quarks and antiquarks, via either baryogenesis or leptogenesis models. The up–down quark mass difference is presented as essential for providing the stability of hydrogen and of the deuteron, which serves as a crucial stepping stone in stellar hydrogen-burning reactions that generate the energy and elements needed for life. Constraints on quark masses from lattice QCD calculations and violations of chiral symmetry are discussed.

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