scholarly journals CURRENT PHYSICS RESULTS FROM STAGGERED CHIRAL PERTURBATION THEORY

2006 ◽  
Vol 21 (39) ◽  
pp. 2913-2930 ◽  
Author(s):  
C. AUBIN
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Quark Mass ◽  
Continuum Limit ◽  
Decay Constant ◽  
Pion Mass ◽  
Meson Decay ◽  
Mass Limit ◽  
Chiral Perturbation ◽  
Decay Constants

We review several results that have been obtained using lattice QCD with the staggered quark formulation. Our focus is on the quantities that have been calculated numerically with low statistical errors and have been extrapolated to the physical quark mass limit and continuum limit using staggered chiral perturbation theory. We limit our discussion to a brief introduction to staggered quarks, and applications of staggered chiral perturbation theory to the pion mass, decay constant, and heavy–light meson decay constants.

scholarly journals ChPT loops for the lattice: pion mass and decay constant, HVP at finite volume and nn̅-oscillations

2018 ◽  
Vol 175 ◽  
pp. 06011
Author(s):  
Johan Bijnens
Keyword(s):  
Perturbation Theory ◽  
Finite Volume ◽  
Chiral Perturbation Theory ◽  
Vacuum Polarization ◽  
Decay Constant ◽  
Pion Mass ◽  
Loop Order ◽  
Chiral Perturbation ◽  
Lattice Calculations

I present higher loop order results for several calculations in Chiral perturbation Theory. 1) Two-loop results at finite volume for hadronic vacuum polarization. 2) A three-loop calculation of the pion mass and decay constant in two-flavour ChPT. For the pion mass all needed auxiliary parameters can be determined from lattice calculations of ππ-scattering. 3) Chiral corrections to neutron-anti-neutron oscillations.

scholarly journals Topological susceptibility in 2+1-flavor QCD with chiral fermions

2018 ◽  
Vol 175 ◽  
pp. 04008 ◽  
Author(s):  
Sinya Aoki ◽  
Guido Cossu ◽  
Hidenori Fukaya ◽  
Shoji Hashimoto ◽  
Takashi Kaneko
Keyword(s):  
Quark Mass ◽  
Topological Charge ◽  
Decay Constant ◽  
Pion Mass ◽  
Chiral Condensate ◽  
Mass Dependence ◽  
Chiral Perturbation ◽  
Physical Point ◽  
Domain Wall Fermions ◽  
Quark Mass Dependence

We compute the topological susceptibility Xt of 2+1-flavor lattice QCD with dynamical Möbius domain-wall fermions, whose residual mass is kept at 1 MeV or smaller. In our analysis, we focus on the fluctuation of the topological charge density in a “slab” sub-volume of the simulated lattice, as proposed by Bietenholz et al. The quark mass dependence of our results agrees well with the prediction of the chiral perturbation theory, from which the chiral condensate is extracted. Combining the results for the pion mass Mπ and decay constant Fπ, we obtain Xt = 0.227(02)(11)M2πF2π at the physical point, where the first error is statistical and the second is systematic.

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