Infrared regularization with spin-3/2 fields

Abstract

We present a Lorentz-invariant formulation of baryon chiral perturbation theory including spin-3/2 fields. Particular attention is paid to the projection on the spin-3/2 components of the delta fields. We also discuss the nucleon mass and the pion-nucleon sigma term.

9 pp, 1 fig

References in corpus (24)

• Chiral Dynamics in Nucleons and Nuclei
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• Roy equation analysis of pi pi scattering
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form
• Chiral expansion of baryon masses and $\sigma$-terms
• Low energy analysis of the nucleon electromagnetic form factors
• Effective theory of the Delta(1232) in Compton scattering off the nucleon
• The form factors of the nucleon at small momentum transfer
• Field theory of nucleon to higher-spin baryon transitions
• Pion--Nucleon Scattering in a New Approach to Chiral Perturbation Theory
• Low energy analysis of pi N --> pi N
• Chiral unitary meson-baryon dynamics in the presence of resonances: Elastic pion-nucleon scattering
• Critical Analysis of Baryon Masses and Sigma-Terms in Heavy Baryon Chiral Perturbation Theory
• Compton Scattering and the Spin Structure of the Nucleon at Low Energies
• Pion-nucleon scattering in an effective chiral field theory with explicit spin-3/2 fields
• Spin structure of the nucleon at low energies
• Comparison of Pion-Kaon Scattering in SU(3) Chiral Perturbation Theory and Dispersion Relations
• Novel analysis of chiral loop effects in the generalized Gerasimov-Drell-Hearn sum rule
• Baryon Masses in Chiral Perturbation Theory with Infrared Regularization
• Low Energy Pion--Nucleon Scattering in the Heavy Baryon and Infrared Schemes
• Chiral QCD: Baryon dynamics
• Chiral Effective Field Theories with explicit Spin 3/2 Degrees of Freedom---A Status Report

Cited by in corpus (49)

• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Electromagnetic excitation of the Delta(1232)-resonance
• Chiral Perturbation Theory and Baryon Properties
• 50 Years of Quantum Chromodynamics
• The Juelich hyperon-nucleon model revisited
• Towards a theory of hadron resonances
• Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory
• Nucleon mass: from lattice QCD to the chiral limit
• Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass
• Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances
• Meson-Baryon Effective Chiral Lagrangians to O(q^3)
• Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon
• Infrared regularization of baryon chiral perturbation theory reformulated
• Chiral Extrapolations and the Covariant Small Scale Expansion
• The nucleon and Delta-resonance masses in relativistic chiral effective-field theory
• Complex-mass renormalization in chiral effective field theory
• Baryon self energies in the chiral loop expansion
• Spin 3/2 Beyond the Rarita-Schwinger Framework
• On the quark-mass dependence of the baryon ground-state masses
• Three-nucleon force in chiral EFT with explicit $\Delta (1232)$ degrees of freedom: Longest-range contributions at fourth order
• Symmetry of massive Rarita-Schwinger fields
• Mass and width of the Roper resonance using complex-mass renormalization
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory
• Infrared and extended on-mass-shell renormalization of two-loop diagrams
• Chiral Corrections to the Hyperon Vector Form Factors
• Chiral corrections to the Roper mass
• Phase-shift analysis of low-energy ${\pi }^{\pm }p$ elastic-scattering data
• Hyperon decay form factors in chiral perturbation theory
• Nucleon-to-Delta axial transition form factors in relativistic baryon chiral perturbation theory
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• Magnetic moment of the Roper resonance
• Ordinary muon capture on a proton in manifestly Lorentz invariant baryon chiral perturbation theory
• The width of the Roper resonance in baryon chiral perturbation theory
• On the possibility of a discontinuous quark-mass dependence of baryon octet and decuplet masses
• The reaction pi N to pi pi N in a meson-exchange approach
• The width of the $\Delta$-resonance at two loop order in baryon chiral perturbation theory
• The magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• The mass of the Delta resonance in a finite volume: fourth-order calculation
• The Lorentz- and CPT-Violating Standard Model Extension in Chiral Perturbation Theory
• Baryon Chiral Perturbation Theory combined with the $1/{\mathbf{N}}_{\mathbf{c}}$ Expansion in SU(3) I: Framework
• Complete Relativistic Description of the N*(1520)
• Meson-baryon sigma terms in QCD Sum Rules
• Quark mass dependence of nucleon mass and axial-vector coupling constant
• Electromagnetic transition form factors of the Roper resonance in baryon chiral perturbation theory
• Mass and width of the $\Delta (1232)$ resonance using complex-mass renormalization
• The chiral Lagrangian with three flavors and large-Nc sum rules
• The chiral limit of QCD and above
• The first PDF moments for three dynamical flavors in Baryon Chiral Perturbation Theory
• On the photon mass generation in Rarita-Schwinger QED