scholarly journals LATTICE STUDY ON KAON–NUCLEON SCATTERING LENGTH IN THE I=1 CHANNEL

2004 ◽  
Vol 19 (26) ◽  
pp. 4401-4412 ◽  
Author(s):  
GUANGWEI MENG ◽  
CHUAN MIAO ◽  
XINING DU ◽  
CHUAN LIU
Keyword(s):  
Perturbation Theory ◽  
Lattice Spacing ◽  
Continuum Limit ◽  
Scattering Length ◽  
Finite Lattice ◽  
Mass Region ◽  
Infinite Volume ◽  
Chiral Perturbation ◽  
Kaon Mass ◽  
Anisotropic Lattices

Using the tadpole improved clover Wilson quark action on small, coarse and anisotropic lattices, KN scattering length in the I=1 channel is calculated within quenched approximation. The results are extrapolated towards the chiral and physical kaon mass region. Finite volume and finite lattice spacing errors are also analyzed and a result in the infinite volume and continuum limit is obtained which is compatible with the experiment and the results from Chiral Perturbation Theory.

scholarly journals I=2 PION SCATTERING LENGTH WITH IMPROVED ACTIONS ON ANISOTROPIC LATTICES

2004 ◽  
Vol 19 (32) ◽  
pp. 5609-5614 ◽  
Author(s):  
XINING DU ◽  
GUANGWEI MENG ◽  
CHUAN MIAO ◽  
CHUAN LIU
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Continuum Limit ◽  
Scattering Length ◽  
Infinite Volume ◽  
Chiral Perturbation ◽  
Wilson Fermion ◽  
Pion Scattering ◽  
Anisotropic Lattices ◽  
Lattice Calculations

ππ scattering length in the I=2 channel is calculated within quenched approximation using improved gauge and improved Wilson fermion actions on anisotropic lattices. The results are extrapolated towards the chiral, infinite volume and continuum limit. This result improves our previous result on the scattering length. In the chiral, infinite volume and continuum limit, we obtain [Formula: see text], which is consistent with the result from Chiral Perturbation Theory, the experiment and results from other lattice calculations.

scholarly journals Chiral Perturbation Theory for Three-Flavour Lattice QCD with Isospin Splitting

2016 ◽  
Vol 2016 ◽  
pp. 1-6
Author(s):  
S. Engelnkemper ◽  
G. Münster
Keyword(s):  
Perturbation Theory ◽  
Lattice Qcd ◽  
Chiral Perturbation Theory ◽  
Lattice Spacing ◽  
Light Quark ◽  
Mass Difference ◽  
Finite Lattice ◽  
Chiral Perturbation ◽  
Isospin Splitting ◽  
The Masses

An important tool for the analysis of results of numerical simulations of lattice QCD is chiral perturbation theory. In the Wilson chiral perturbation theory the effects of the finite lattice spacingaare taken into account. In recent years the effects of isospin splitting on the masses of hadrons have been investigated in the Monte Carlo simulations. Correspondingly, in this paper we derive the expansions of the masses of the pseudoscalar mesons in chiral perturbation theory at next-to-leading order for twisted mass lattice QCD with three light quark flavours, taking the mass difference between the up- and downquarks into account. The results include terms up to ordersmq2in the quark masses,Δm2in the mass splitting between up- and downquarks, anda2in the lattice spacing, respectively.

scholarly journals The Leutwyler–Smilga relation on the lattice

2019 ◽  
Vol 35 (01) ◽  
pp. 1950346 ◽  
Author(s):  
Gernot Münster ◽  
Raimar Wulkenhaar
Keyword(s):  
Perturbation Theory ◽  
Quantum Chromodynamics ◽  
Lattice Qcd ◽  
Chiral Perturbation Theory ◽  
Effective Action ◽  
Lattice Spacing ◽  
Chiral Perturbation ◽  
Quark Masses

According to the Leutwyler–Smilga relation, in Quantum Chromodynamics (QCD), the topological susceptibility vanishes linearly with the quark masses. Calculations of the topological susceptibility in the context of lattice QCD, extrapolated to zero quark masses, show a remnant nonzero value as a lattice artefact. Employing the Atiyah–Singer theorem in the framework of Symanzik’s effective action and chiral perturbation theory, we show the validity of the Leutwyler–Smilga relation in lattice QCD with lattice artefacts of order a2 in the lattice spacing a.

J/ψ DECAYS AND η-η′-ι MIXING

1994 ◽  
Vol 09 (31) ◽  
pp. 5489-5506 ◽  
Author(s):  
ICHIJIRO KITAMURA ◽  
NORIKAZU MORISITA ◽  
TADAYUKI TESHIMA
Keyword(s):  
Experimental Data ◽  
Perturbation Theory ◽  
Mass Region ◽  
High Mass ◽  
Radial Excitation ◽  
Recent Experimental Data ◽  
Chiral Perturbation ◽  
Pseudoscalar Mesons ◽  
Low Mass ◽  
Excitation State

The mass region near η(1440) has more than one resonance, and two resonances with M≈1420 MeV and M≈1490 MeV are shown to give a better description of the recent experimental data. We investigate whether η(1420) or η(1490) is the glueball, if it exists, and which of them is the isospin 0 partner of the radially excited state η(1295) expected to exist near the 1500–1600 MeV region. We study the J/ψ→VP and Pγ decays, using the new data of 1992, to estimate the mixing among (η, η′, ι), where ι refers to the glueball, and obtain the result that the N component in ι is larger than the S component. Comparing the N and S components in ι with the N and S components in η(1420) and η(1490) obtained from their decaying pattern, we conjecture that the low mass state η(1420) is the glueball and the high mass state η(1490) is the radial excitation state. We discuss the relation between the mass formulae for the pseudoscalar mesons and the mixing among (η, η′, ι) obtained considering the chiral perturbation theory and the chiral U(3) × U(3) symmetry formulation.

scholarly journals Large N scaling and factorization in SU(N) Yang-Mills theory

2018 ◽  
Vol 175 ◽  
pp. 11018 ◽  
Author(s):  
Miguel García Vera ◽  
Rainer Sommer
Keyword(s):  
Lattice Spacing ◽  
Continuum Limit ◽  
Finite Lattice ◽  
Gradient Flow ◽  
Scaling Up ◽  
Wilson Loops ◽  
Yang Mills ◽  
Large N ◽  
The Continuum

We present results for Wilson loops smoothed with the Yang-Mills gradient flow and matched through the scale t0. They provide renormalized and precise operators allowing to test the 1/N2 scaling both at finite lattice spacing and in the continuum limit. Our results show an excellent scaling up to 1/N = 1/3. Additionally, we obtain a very precise non-perturbative confirmation of factorization in the large N limit.

scholarly journals Spectroscopy of Charmed and Bottom Hadrons using Lattice QCD

2018 ◽  
Vol 175 ◽  
pp. 05021 ◽  
Author(s):  
Sourav Mondal ◽  
M. Padmanath ◽  
Nilmani Mathur
Keyword(s):  
Perturbation Theory ◽  
Continuum Limit ◽  
Pion Mass ◽  
Heavy Baryon ◽  
Chiral Perturbation ◽  
Charmed Baryons ◽  
Quark Masses ◽  
Baryon Spectra ◽  
The Masses ◽  
The Continuum

We present preliminary results on the light, charmed and bottom baryon spectra using overlap valence quarks on the background of 2+1+1 flavours HISQ gauge configurations of the MILC collaboration. These calculations are performed on three different gauge ensembles at three lattice spacings (a ∼ 0.12 fm, 0.09 fm and 0.06 fm) and for physical strange, charm and bottom quark masses. The SU(2) heavy baryon chiral perturbation theory is used to extrapolate baryon masses to the physical pion mass and the continuum limit extrapolations are also performed. Our results are consistent with the well measured charmed baryons. We predict the masses of many other states which are yet to be discovered.

scholarly journals Neutron-neutron scattering length from the reaction γd → πnn employing chiral perturbation theory

2007 ◽  
Vol 33 (4) ◽  
pp. 339-348 ◽  
Author(s):  
V. Lensky ◽  
V. Baru ◽  
E. Epelbaum ◽  
C. Hanhart ◽  
J. Haidenbauer ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Neutron Scattering ◽  
Chiral Perturbation Theory ◽  
Scattering Length ◽  
Chiral Perturbation
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