scholarly journals Nucleon-mass difference in chiral perturbation theory and nuclear forces

2004 ◽  
Vol 70 (4) ◽  
Author(s):  
J. L. Friar ◽  
U. van Kolck ◽  
M. C. M. Rentmeester ◽  
R. G. E. Timmermans
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Mass Difference ◽  
Nucleon Mass ◽  
Nuclear Forces ◽  
Chiral Perturbation

scholarly journals The nucleon mass in Nf=2 lattice QCD: finite size effects from chiral perturbation theory

2004 ◽  
Vol 689 (3) ◽  
pp. 175-194 ◽  
Author(s):  
A. Ali Khan ◽  
T. Bakeyev ◽  
M. Göckeler ◽  
T.R. Hemmert ◽  
R. Horsley ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Lattice Qcd ◽  
Chiral Perturbation Theory ◽  
Size Effects ◽  
Finite Size ◽  
Nucleon Mass ◽  
Chiral Perturbation ◽  
Finite Size Effects

scholarly journals Consistency between SU(3) and SU(2) covariant baryon chiral perturbation theory for the nucleon mass

2017 ◽  
Vol 766 ◽  
pp. 325-333 ◽  
Author(s):  
Xiu-Lei Ren ◽  
L. Alvarez-Ruso ◽  
Li-Sheng Geng ◽  
Tim Ledwig ◽  
Jie Meng ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Nucleon Mass ◽  
Chiral Perturbation

scholarly journals CHIRAL PERTURBATION THEORY WITH NUCLEONS

1992 ◽  
Vol 01 (03) ◽  
pp. 561-601 ◽  
Author(s):  
Ulf-G. Meißner
Keyword(s):  
Perturbation Theory ◽  
Chiral Symmetry ◽  
Chiral Perturbation Theory ◽  
Chiral Limit ◽  
Nuclear Forces ◽  
Chiral Perturbation ◽  
Chiral Structure ◽  
Quark Masses ◽  
Alternative Approach ◽  
Working Out

I review the constraints posed on the interactions of pions, nucleons and photons by the spontaneously broken chiral symmetry of QCD. The framework to perform these calculations, chiral perturbation theory, is briefly discussed in the meson sector. The method is a simultaneous expansion of the Greens functions in powers of external momenta and quark masses around the massless case, the chiral limit. To perform this expansion, use is made of a phenomenological Lagrangian which encodes the Ward–identities and pertinent symmetries of QCD. The concept of chiral power counting is introduced. The main part of the lectures consists in describing how to include baryons (nucleons) and how the chiral structure is modified by the fact that the nucleon mass in the chiral limit does not vanish. Particular emphasis is put on working out applications to show the strengths and limitations of the method. Some processes which are discussed are threshold photopion production, low-energy Compton scattering off nucleons, πN scattering and the σ–term. The implications of the broken chiral symmetry on the nuclear forces are briefly described. An alternative approach, in which the baryons are treated as very heavy fields, is touched upon.

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 Chiral perturbation theory and finite size effects on the nucleon mass in unquenched QCD

2004 ◽  
Vol 129-130 ◽  
pp. 176-178 ◽  
Author(s):  
A. Ali Khan ◽  
T. Bakeyev ◽  
M. Göckeler ◽  
T.R. Hemmert ◽  
R. Horsley ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Size Effects ◽  
Finite Size ◽  
Nucleon Mass ◽  
Chiral Perturbation ◽  
Finite Size Effects
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