Baryons as Chiral Solitons in the Nambu--Jona-Lasinio Model

Abstract

The description of baryons as chiral solitons of the Nambu--Jona--Lasinio (NJL) model is reviewed. A motivation for the soliton description of baryons is provided from large $N_C$ QCD. Rigorous results on the spontaneous breaking of chiral symmetry in QCD are discussed. It is then argued that the NJL model provides a fair description of low--energy hadron physics. The NJL model is therefore employed to mimic the low--energy chiral flavor dynamics of QCD. The model is bosonized by functional integral techniques and the physical content of the emerging effective meson theory is discussed. In particular, its relation to the Skyrme model is established. The static soliton solutions of the bosonized NJL model are found, their properties discussed, and the influence of various meson fields studied. These considerations provide strong support of Witten's conjecture that baryons can be understood as soliton solutions of effective meson theories. The chiral soliton of the NJL model is then quantized in a semiclassical fashion and various static properties of the nucleon are studied. The dominating $1/N_C$ corrections to the semiclassically quantized soliton are investigated. Time--dependent meson fluctuations off the chiral soliton are explored and employed to estimate the quantum corrections to the soliton mass. Finally, hyperons are described as chiral solitons of the NJL model. This is done in both, the collective rotational approach of Yabu and Ando as well as in the bound state approach of Callan and Klebanov.

120 pages, uuencoded and compressed postscript file is submitted, hardcopy available upon request.

References in corpus (6)

• Axial Properties of the Nucleon with $1/N_c$-Corrections in the solitonic SU(3)-NJL-Model
• Estimate of Quantum corrections to the Mass of the Chiral Soliton in the Nambu--Jona--Lasinio Model
• On the analytic properties of chiral solitons in the presence of the $\omega$--meson
• Diquarks in a chiral soliton field
• The Skyrmion limit of the Nambu--Jona-Lasinio soliton
• Topologically non--trivial chiral transformations: The chiral invariant elimination of the axial vector meson

Cited by in corpus (154)

• Hard Exclusive Reactions and the Structure of Hadrons
• Chiral perturbation theory
• Baryons as relativistic three-quark bound states
• Baryons as non-topological chiral solitons
• SU(N) gauge theories at large N
• Inhomogeneous chiral condensates
• Polyakov loop in chiral quark models at finite temperature
• Calculating Vacuum Energies in Renormalizable Quantum Field Theories: A New Approach to the Casimir Problem
• The Strange Quark Contribution to the Proton's Magnetic Moment
• Stable Solitons in Three Dimensional Free Space: Self-Trapped Bose-Einstein Condensates with Spin-Orbit Coupling
• Baryon Resonance Extraction from piN Data using a Unitary Multichannel Model
• The phase diagram and bulk thermodynamical quantities in the NJL model at finite temperature and density
• Multidimensional solitons: Well-established results and novel findings
• Octet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model
• Thermodynamics of deformed AdS${}_5$ model with a positive/negative quadratic correction in graviton-dilaton system
• Neutron star properties in the quark-meson coupling model
• Twisted toroidal vortex-solitons in inhomogeneous media with repulsive nonlinearity
• Pion light-cone wave function and pion distribution amplitude in the Nambu-Jona-Lasinio model
• Soliton gyroscopes in media with spatially growing repulsive nonlinearity
• Diquark confinement in an extended NJL model
• Transversity distributions in the nucleon in the large-N_c limit
• Chiral Symmetry and the Nucleon Spin Structure Functions
• Flow Equations without Mean Field Ambiguity
• On photoexcitation of baryon antidecuplet
• From holography towards real-world nuclear matter
• Spectral quark model and low-energy hadron phenomenology
• Generalized Beth--Uhlenbeck approach to mesons and diquarks in hot, dense quark matter
• On the strange vector form factors of the nucleon in the NJL soliton model
• Nucleon Form Factors in a Covariant Diquark-Quark Model
• Meson loops in the Nambu-Jona-Lasinio model
• Polarized Nucleon Structure Functions within a Chiral Soliton Model
• Solitons in a chiral quark model with non-local interactions
• Light-flavor sea-quark distributions in the nucleon in the SU(3) chiral quark soliton model (I) -- phenomenological predictions --
• Chiral Symmetry and the Nucleon Structure Functions
• Hadron Structure Functions in a Chiral Quark Model: Regularization, Scaling and Sum Rules
• Three-dimensional hybrid vortex solitons
• Heavy Fermion Stabilization of Solitons in 1+1 Dimensions
• Generalized form factors, generalized parton distributions and the spin contents of the nucleon
• Flavor-Spin Symmetry Estimate of the Nucleon Tensor Charge
• Strange form factors in the context of SAMPLE, HAPPEX, and A4 experiments
• Nucleon Structure Functions from a Chiral Soliton
• Symmetry conserving approach to the quantization of the non-topological SU(3) soliton
• Inhomogeneous chiral symmetry breaking in dense neutron-star matter
• Chiral solitons in nuclei: Electromagnetic form factors
• Current Conservation in the Covariant Quark-Diquark Model of the Nucleon
• Axial-vector form factors of the nucleon within the chiral quark-soliton model and their strange components
• Influence of vector interactions on the hadron-quark/gluon phase transition
• Phase diagrams in the Hadron-PNJL model
• Skyrme models and nuclear matter equation of state
• Fractional and Integer Charges from Levinson's Theorem
• Regge phenomenology of pion photoproduction off the nucleon at forward angles
• Searching for Quantum Solitons in a 3+1 Dimensional Chiral Yukawa Model
• Strange and singlet form factors of the nucleon: Predictions for G0, A4, and HAPPEX-II experiments
• Quark Condensation, Induced Symmetry Breaking and Color Superconductivity at High Density
• Chiral Odd Structure Functions from a Chiral Soliton
• Low Energy Chiral Lagrangian in Curved Space-Time from the Spectral Quark Model
• Nuclear Matter Properties of the Modified Quark Meson Coupling Model
• Polarized quark distributions in nuclear matter
• Layers of deformed instantons in holographic baryonic matter
• Quantum QED Flux Tubes in 2+1 and 3+1 Dimensions
• Phase Transition of Finite Size Quark Droplets with Isospin Chemical Potential in the Nanbu--Jona-Lasinio Model
• Form Factors of the Nucleon Axial Current
• A renormalizable extension of the NJL-model
• Relation Between Chiral Susceptibility and Solutions of Gap Equation in Nambu--Jona-Lasinio Model
• The sigma-term form factor of the nucleon in the large-Nc limit
• Magnetic Moments of Baryons with a Single Heavy Quark
• On the Chiral Quark Soliton Model with Pauli-Villars Regularization
• Hadron-quark phase transition in asymmetric matter with dynamical quark masses
• Doubly Heavy Tetraquarks in the Chiral Quark Soliton Model
• Parity-violating aysmmetries in elastic $\vec{e}p$ scattering in the chiral quark-soliton model: Comparison with A4, G0, HAPPEX and SAMPLE
• The electroproduction of the $\Delta$(1232) in the chiral quark-soliton model
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Spin and Orbital Angular Momentum Distribution Functions of the Nucleon
• Do we expect light flavor sea-quark asymmetry also for the spin-dependent distribution functions of the nucleon?
• Baryons as Hybrids of Solitons and Three Quark Bound States
• Soliton solutions of the fermion-Skyrmion system in (2+1) dimensions
• Baryon masses in a chiral expansion with meson-baryon form factors
• Phase transition of strongly interacting matter with a chemical potential dependent Polyakov loop potential
• The vacuum nature of the QCD condensates
• Mesons as qbar-q Bound States from Euclidean 2-Point Correlators in the Bethe-Salpeter Approach
• Approximating chiral quark models with linear sigma-models
• Dressed Polyakov loop and flavor dependent phase transitions
• Nucleon Structure Functions from a Chiral Soliton in the Infinite Momentum Frame
• Confined Chiral Solitons in the Spectral Quark Model
• Strange nucleon form factors: Solitonic approach to $G_M^s$, $G_E^s$, ${\tilde{G}}_A^p$ and ${\tilde{G}}_A^n$ and comparison with world data
• Flavor structure of the unpolarized and longitudinally-polarized sea-quark distributions in the nucleon
• Vector transition form factors of the $N{K}^{\ast }\to {\Theta }^{+}$ and $N{\bar{K}}^{\ast }\to {\Sigma }_{\overline{10}}^{\ast -}$ in the SU(3) chiral quark-soliton model
• Solitons in curved spacetime
• On the analytic properties of chiral solitons in the presence of the $\omega$--meson
• The UA(1) problem and the role of correlated q qbar exchange in effective theories of QCD
• Thermal Mass Spectra of Scalar and Pseudo-Scalar Mesons in IR-improved Soft-Wall AdS/QCD Model with Finite Chemical Potential
• Self-consistent bounces in two dimensions
• Chiral soliton model at finite temperature and density
• Goldberger-Treiman Relation and g_piNN from the Three Quark BS/Faddeev Approach in the NJL Model
• False vacuum decay by self-consistent bounces in four dimensions
• Nucleon structure functions and longitudinal spin asymmetries in the chiral quark constituent model
• Self-bound quark matter in the NJL model revisited: from schematic droplets to domain-wall solitons
• Solution of the Kwiecinski evolution equations for unintegrated parton distributions using the Mellin transform
• Nucleon form factors and parton distributions in nonlocal chiral effective theory
• Electromagnetic transition form factors, $E2/M1$ and $C2/M1$ ratios of the baryon decuplet
• Heavy Baryons with Strangeness in a Soliton Model
• Hyperfine Splitting of Low-Lying Heavy Baryons
• Nucleon Structure Functions in the Three Flavor NJL Soliton Model
• Temperature Dependence of the Effective Bag Constant and the Radius of a Nucleon in the Global Color Symmetry Model of QCD
• Strangeness Contribution to the Polarized Nucleon Structure Function $g_1(x)$
• From scale properties of physical amplitudes to a predictive formulation of the Nambu-Jona-Lasinio model
• Models and Potentials in Hadron Spectroscopy
• Quark flavor distribution functions for the octet baryons in the chiral quark constituent model
• B=3 Tetrahedrally Symmetric Solitons in the Chiral Quark Soliton Model
• The nucleon in the chiral quark model: an alternative computation scheme
• Pionic dressing of baryons in chiral quark models
• Tensor charge and anomalous magnetic moment correlation
• Excited fermions on kinks and the Dirac sea
• Relativistic NJL Model with Light and Heavy Quarks
• Variational Approach to Excited Fermions on Kinks
• Electromagnetic and Axial-Vector Form Factors of the Quarks and Nucleon
• Transition rates for q q bar -> pi pi pi in a chiral model
• Nucleon Properties in the Polyakov Quark Meson Model
• Pion mass dependence of the electromagnetic form factors of singly heavy baryons
• Chiral Quark Model
• Diquarks in a chiral soliton field
• Monopole Excitations of Baryons in the Nambu--Jona--Lasinio Soliton Model
• Can the nucleon axial charge be O(Nc^0)?
• Flavour structure of the nucleon electromagnetic form factors and transverse charge densities in the chiral quark-soliton model
• Heavy baryon decay widths in the large $N_c$ limit in chiral theory
• Effect of Dynamical SU(2) Gluons to the Gap Equation of Nambu--Jona-Lasinio Model in Constant Background Magnetic Field
• Nucleon Structure Functions from the NJL-Model Chiral Soliton
• Invisible Charm Exotica
• Chiral Soliton Models and Nucleon Structure Functions
• Degeneracy of the quarks, shell structure in the chiral soliton
• Towards a holographic quark-hadron continuity
• Nucleon Structure Functions in a Chiral Soliton Model
• Heavy Quark Solitons in the Nambu--Jona-Lasinio Model
• Time-dependent Ginzburg-Landau Equation in the Nambu--Jona-Lasinio Model
• Octet and Decuplet Baryons in a Confining and Covariant Diquark-Quark Model
• Axially symmetric multi-baryon solutions and their quantization in the chiral quark soliton model
• Parton distributions in the chiral quark model: a continuum computation
• Instability of the hedgehog shape for the octet baryon in the chiral quark soliton model
• Nucleon structure functions from a chiral soliton
• Quantum stabilization of a hedgehog type of cosmic string
• Exotic Baryons in Chiral Soliton Models
• Structure Functions of the Nucleon in a Soliton Model
• Vacuum and thermal fluctuation energies of a soliton at finite temperatures
• RPA-Approach to the Excitations of the Nucleon, Part I: Theory
• RPA-Approach to the Excitations of the Nucleon, Part II: Phenomenology
• Soliton formation in the Nambu-Jona-Lasinio model
• Hadron Structure Functions in a Chiral Quark Model
• On the physics behind the form factor ratio ${\mu }_p{G}_E^p(Q^2)/G_M^p(Q^2)$
• Soliton Models for the Nucleon and Predictions for the Nucleon Spin Structure
• Quarks and Antiquarks in Nuclei
• Quantization of the chiral soliton in medium
• Beautiful Exotica
• Landscape of heavy baryons from the perspective of the chiral quark-soliton model
• Chiral Solitons