skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Baryon chiral perturbation theory combined with the 1 / N c expansion in SU(3): Framework

Journal Article · · Physical Review D
 [1];  [1]
  1. Hampton Univ., Hampton, VA (United States). Dept. of Physics; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Baryon Chiral Perturbation Theory combined with the $$1/N_c$$ expansion is implemented for three flavors. Here, Baryon masses, vector charges and axial vector couplings are studied to one-loop and organized according to the $$\xi$$-expansion, in which the $$1/N_c$$ and the low energy power countings are linked according to $$1/N_c={\cal{O}}(\xi)={\cal{O}}(p)$$. The renormalization to $${\cal{O}}(\xi^3)$$ necessary for the mentioned observables is provided, along with applications to the baryon masses and axial couplings as obtained in lattice QCD calculations.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC05-06OR23177; PHY-1307413; PHY-1613951
OSTI ID:
1426860
Alternate ID(s):
OSTI ID: 1426019
Report Number(s):
JLAB-THY-18-3; DOE/OR/23177-4277; arXiv:1712.01672; PRVDAQ; TRN: US1802453
Journal Information:
Physical Review D, Vol. 97, Issue 5; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

References (88)

Structure of Phenomenological Lagrangians. II journal January 1969
Ab Initio Determination of Light Hadron Masses journal November 2008
Review of Particle Physics journal October 2016
Chiral corrections to the baryon axial currents journal April 1991
Spin-flavor structure of large N c baryons journal April 1995
Baryon spectrum with N f = 2 + 1 + 1 twisted mass fermions journal October 2014
Infrared regularization with spin-3/2 fields journal July 2003
Light hadron spectroscopy using domain wall valence quarks on an asqtad sea journal March 2009
Systematic expansion for spin particles in baryon chiral perturbation theory journal March 1997
Baryon vector current in the chiral and 1 / N c expansions journal December 2014
Large- N QCD Baryon Dynamics—Exact Results from Its Relation to the Static Strong-Coupling Theory journal January 1984
Baryon chiral perturbation theory using a heavy fermion lagrangian journal February 1991
Large- N baryonic soliton and quarks journal October 1984
Baryon matrix elements of the vector current in chiral perturbation theory text January 1989
Hadron structure from lattice quantum chromodynamics journal May 2010
Baryon-pion couplings from large-Nc QCD journal October 1993
Introduction to Chiral Perturbation Theory book January 2003
2 + 1 flavor lattice QCD toward the physical point journal February 2009
Nucleons with chiral loops journal October 1988
Flavor symmetry breaking in the 1/ N c expansion journal January 1996
Chiral Lagrangian for baryons in the 1 N c expansion journal March 1996
The Goldberger–Treiman discrepancy in SU(3) journal May 1999
Chiral Dynamics in Nucleons and Nuclei journal June 1995
Departures from chiral symmetry journal March 1975
First results from 2 + 1 dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass journal February 2009
Axial nucleon form factors from lattice QCD journal February 2011
Baryons in the expansion journal November 1979
Pion-nucleon scattering in a new approach to chiral perturbation theory journal June 1998
Lattice baryons in the 1 / N expansion journal August 2012
SU ( 3 ) symmetry breaking in hyperon semileptonic decays journal October 1998
Renormalization of relativistic baryon chiral perturbation theory and power counting journal September 2003
Peripheral transverse densities of the baryon octet from chiral effective field theory and dispersion analysis journal August 2017
Structure of Phenomenological Lagrangians. I journal January 1969
corrections to the baryon axial currents in QCD journal October 1993
Nucleon structure with two flavors of dynamical domain-wall fermions journal July 2008
Continuum limit physics from 2 + 1 flavor domain wall QCD journal April 2011
Low-energy expansion of the pion-nucleon Lagrangian journal January 1996
Light hadron masses from lattice QCD journal April 2012
Baryon chiral perturbation theory in manifestly Lorentz invariant form journal July 1999
Pion–nucleon scattering in an effective chiral field theory with explicit spin- fields journal January 2001
Baryon resonances in large N c QCD journal March 2015
Chiral extrapolation of g A with explicit Δ ( 1232 ) degrees of freedom journal January 2007
Nucleon Axial Charge in ( 2 + 1 )-Flavor Dynamical-Lattice QCD with Domain-Wall Fermions journal April 2008
Flavor blindness and patterns of flavor symmetry breaking in lattice simulations of up, down, and strange quarks journal September 2011
Nucleon Axial Charge in Full Lattice QCD journal February 2006
Chiral dynamics and peripheral transverse densities journal January 2014
N c dependencies of baryon masses: Analysis with lattice QCD and effective theory journal July 2014
Heavy baryon chiral perturbation theory with light deltas journal October 1998
Matrix elements of S U ( 6 ) generators for baryons at arbitrary N c journal June 2006
Nonlinear Realizations of Chiral Symmetry journal February 1968
Chiral extrapolations and the covariant small scale expansion☆☆This research is part of the EU Integrated Infrastructure Initiative Hadron Physics Project under contract number RII3-CT-2004-506078. Work supported in part by DFG (SFB/TR 16, “Subnuclear Structure of Matter”) and BMBF. journal August 2005
Light-front representation of chiral dynamics with Δ isobar and large-N c relations journal June 2016
1 N c expansion for baryons journal May 1994
The Δ(1232) -resonance in chiral effective field theory journal July 2008
S EMILEPTONIC H YPERON D ECAYS journal December 2003
Nucleon form factors with 2 + 1 flavor dynamical domain-wall fermions journal June 2009
Baryon masses and axial couplings in the combined 1 / N c and chiral expansions journal January 2013
A planar diagram theory for strong interactions journal April 1974
Nucleon structure from mixed action calculations using 2 + 1 flavors of asqtad sea and domain wall valence fermions journal November 2010
Spin and Unitary Spin Independence of Strong Interactions journal August 1964
Hadron structure in lattice QCD journal April 2012
The role of the Δ isobar in chiral perturbation theory and hedgehog soliton models journal October 1992
Chiral structure of the nucleon journal December 1992
Renormalization of the baryon axial vector current in large- N c chiral perturbation theory journal November 2006
Including the Δ ( 1232 ) resonance in baryon chiral perturbation theory journal November 2005
Nucleon mass: From lattice QCD to the chiral limit journal June 2006
Introduction to Chiral Perturbation Theory conference January 1994
Review of Particle Physics text January 2008
Review of Particle Physics text January 2018
Review of Particle Physics text January 2012
The Delta(1232) Resonance in Chiral Effective Field Theory text January 2007
Nucleon structure with two flavors of dynamical domain-wall fermions text January 2008
Ab-initio Determination of Light Hadron Masses text January 2009
Physical Point Simulation in 2+1 Flavor Lattice QCD text January 2009
Hadron structure from lattice quantum chromodynamics text January 2009
Flavour blindness and patterns of flavour symmetry breaking in lattice simulations of up, down and strange quarks text January 2011
Hadron Structure in Lattice QCD text January 2011
Light Hadron Masses from Lattice QCD text January 2012
The Nc dependencies of baryon masses: Analysis with Lattice QCD and Effective Theory text January 2014
Baryon resonances in large $N_c$ QCD text January 2014
Light-front representation of chiral dynamics with Delta isobar and large-N_c relations text January 2016
Matrix Elements of SU(6) Generators for Baryons at Arbitrary $N_c$ text January 2006
Baryon-Pion Couplings from Large-N QCD text January 1993
Spin-Flavor Structure of Large N Baryons text January 1994
Flavor Symmetry Breaking in the 1/N Expansion text January 1995
Pion--Nucleon Scattering in a New Approach to Chiral Perturbation Theory text January 1997
Heavy Baryon Chiral Perturbation Theory with Light Deltas text January 1997
The Goldberger-Treiman Discrepancy in SU(3) text January 1999