scholarly journals Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory

2011 ◽  
Vol 84 (7) ◽  
Author(s):  
Li-sheng Geng ◽  
Xiu-lei Ren ◽  
J. Martin-Camalich ◽  
W. Weise
Keyword(s):  
Perturbation Theory ◽  
Finite Volume ◽  
Chiral Perturbation Theory ◽  
Chiral Perturbation ◽  
Octet Baryon ◽  
Volume Effects

scholarly journals LOWEST-LYING OCTET BARYON MASSES IN COVARIANT BARYON CHIRAL PERTURBATION THEORY

2014 ◽  
Vol 26 ◽  
pp. 1460068
Author(s):  
XIU-LEI REN ◽  
LISHENG GENG ◽  
JIE MENG ◽  
HIROSHI TOKI
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Mass Shell ◽  
Renormalization Scheme ◽  
Leading Order ◽  
Chiral Perturbation ◽  
Octet Baryon ◽  
Self Consistent ◽  
Reasonable Description ◽  
Consistent Treatment

We report on a systematic study of the ground-state octet baryon masses in the covariant baryon chiral perturbation theory with the extended-on-mass-shell renormalization scheme up to next-to-next-to-next-to-leading order, taking into account the contributions of the virtual decuplet baryons. A reasonable description of the lattice results is achieved by fitting simultaneously all the publicly availablenf = 2 + 1lattice QCD data. It confirms that the various lattice simulations are consistent with each other. We stress that a self-consistent treatment of finite-volume corrections is important to obtain a χ2/d.o.f. about 1.

scholarly journals Two Loop Partially Quenched and Finite Volume Chiral Perturbation Theory Results

2005 ◽  
Author(s):  
Johan Bijnens ◽  
Niclas Danielsson ◽  
Karim Ghorbani ◽  
Timo Lahde
Keyword(s):  
Perturbation Theory ◽  
Finite Volume ◽  
Chiral Perturbation Theory ◽  
Chiral Perturbation

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.

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