Recent Developments in Chiral Perturbation Theory

Abstract

I review recent developments in chiral perturbation theory (CHPT) which is the effective field theory of the standard model below the chiral symmetry breaking scale. The effective chiral Lagrangian formulated in terms of the pseudoscalar Goldstone bosons ($\pi ,K,\eta$) is briefly discussed. It is shown how one can gain insight into the ratios of the light quark masses and to what extent these statements are model--independent. A few selected topics concerning the dynamics and interactions of the Goldstone bosons are considered. These are $\pi \pi$ and $\pi K$ scattering, some non--leptonic kaon decays and the problem of strong pionic final state interactions. CHPT also allows to make precise statements about the temperature dependence of QCD Green functions and the finite size effects related to the propagation of the (almost) massless pseudoscalar mesons. A central topic is the inclusion of matter fields, baryon CHPT. The relativistic and the heavy fermion formulation of coupling the baryons to the Goldstone fields are discussed. As applications, photo--nucleon processes, the $\pi N$ $\Sigma$--term and non--leptonic hyperon decays are presented. Implications of the spontaneously broken chiral symmetry on the nuclear forces and meson exchange currents are also described. Finally, the use of effective field theory methods in the strongly coupled Higgs sector and in the calculation of oblique electroweak corrections is touched upon.

TeX, 110 pages, 15 figures available upon request, BUTP-93/01

References in corpus (12)

• Three-Body Interactions Among Nucleons and Pions
• Chiral Perturbation Theory for the Quenched Approximation of QCD
• Strong Decays of Excited Heavy Mesons In Chiral Perturbation Theory
• Nambu Jona-Lasinio Like Models and the Low Energy Effective Action of QCD
• A global fit of $\pi \pi$ and $\pi K$ elastic scattering in ChPT with dispersion relations
• Violations of Dashen's Theorem
• Chiral Perturbation Theory for SU(3) Breaking in Heavy Meson Systems
• Effective Field Theory of Anomalous Gauge-Boson Couplings at High-Energy pp Colliders
• Electromagnetic Polarisability of the Nucleon in Chiral Perturbation Theory
• Weak Radiative Hyperon Decays in Chiral Perturbation Theory
• QCD Hadron Spectroscopy with Staggered Dynamical Quarks at $\beta =5.6$
• Vector-Boson versus Gluon Fusion at Hadron Colliders

Cited by in corpus (196)

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• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
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• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
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• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• Putative Light Scalar Nonet
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Virtual Photons in Chiral Perturbation Theory
• Vector meson-vector meson interaction in a hidden gauge unitary approach
• Evidence for the two pole structure of the Lambda(1405) resonance
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• Hadron Physics from the Global Color Model of QCD
• S-wave Kpi scattering in chiral perturbation theory with resonances
• Extension of the Chiral Perturbation Theory Meson Lagrangian to Order $P^6$
• Are Nonrenormalizable Gauge Theories Renormalizable?
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• The Y(3940), Z(3930) and the X(4160) as dynamically generated resonances from the vector-vector interaction
• Low-Energy Photon-Photon Collisions to Two-Loop Order
• Simple Description of Pion-Pion Scattering to 1 GeV
• On the Strangeness -1 S-wave Meson-Baryon Scattering
• Improving the convergence of the chiral expansion for nuclear forces I: Peripheral phases
• $K_{l4}$ - Decays Beyond One Loop
• Chiral Perturbation Theory Beyond One Loop
• Toy model for two chiral nonets
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• Charged Pion-Pair Production and Pion Polarizabilities to two Loops
• Consistent Calculation of the Nucleon Electromagnetic Polarizabilities in Chiral Perturbation Theory Beyond Next-to-Leading Order
• Surprises in threshold antikaon-nucleon physics
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• Evidence for a scalar kappa(900) resonance in pi-K scattering
• Unitarized pseudoscalar meson scattering amplitudes in three flavor linear sigma models
• KK bar scattering amplitude to one loop in chiral perturbation theory, its unitarization and pion form factors
• Towards a theory of hadron resonances
• The Standard Model Prediction for epsilon'/epsilon
• The reaction $\pi N\to \pi \pi N$ at threshold in chiral perturbation theory
• On the spin, parity and nature of the $\Xi (1620)$ resonance
• On the size of the sigma meson and its nature
• Radiative Neutron-Proton Capture in Effective Chiral Lagrangians
• $\Delta I=1/2$ rule for kaon decays derived from QCD infrared fixed point
• Exploring $\pp$ scattering in the $\1N$ picture
• Theoretical Study of the γγ-->meson-meson Reaction
• The vector form factor of the pion from unitarity and analyticity: a model-independent approach
• Chiral dynamics in the gamma p --> pi^0 eta p and gamma p --> pi^0 K^0 Sigma^+ reactions
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• Clues for the existence of two $K_1(1270)$ resonances
• Infrared regularization for spin-1 fields
• Tau Decays and Chiral Perturbation Theory
• Aspects of Nucleon Compton Scattering
• Threshold Pion Electroproduction in Chiral Perturbation Theory
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Hazma: A Python Toolkit for Studying Indirect Detection of Sub-GeV Dark Matter
• Meson exchange in the weak decay of Lambda hypernuclei and the Gamma_n/Gamma_p ratio
• Extraction of the light quark mass ratio from the decays psi' --> J/psi pi^0 (eta)
• Chiral symmetry in nuclei: partial restoration and its consequences
• Off shell pi N amplitude and the p p->p p pi0 reaction
• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
• Final State Interactions in Kaon Decays
• Charged Pion Polarizabilities to two Loops
• eta' to eta pi pi Decay as a Probe of a Possible Lowest-Lying Scalar Nonet
• $\Lambda (1405)$ production in the ${\pi }^{-}p\to K^0\pi \Sigma$ reaction
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• Hidden beauty baryon states in the local hidden gauge approach with heavy quark spin symmetry
• Thermal rho and sigma mesons from chiral symmetry and unitarity
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
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• Impact of the finite volume effects on the chiral behavior of fK and BK
• Chiral Unitary Approach To The N*N*pi, N*N*eta Couplings For The N*(1535) Resonance
• Behavior of the S Parameter in the Crossover Region Between Walking and QCD-Like Regimes of an SU(N) Gauge Theory
• The hyperon-nucleon interaction: conventional versus effective field theory approach
• Strange mesons in nuclear matter at finite temperature
• Low-energy QCD: Chiral coefficients and the quark-quark interaction
• Rho - omega mixing in chiral perturbation theory
• Chiral dynamics of p-wave in K^- p and coupled states
• Chiral invariant renormalization of the pion--nucleon interaction
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• Tests of non-standard electroweak couplings of right-handed quarks
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• The reaction $\pi N\to \pi \pi N$ above threshold in chiral perturbation theory
• Hyperon resonances coupled to pseudoscalar- and vector-baryon channels
• Study the molecular nature of $\sigma$, $f_0(980)$, and $a_0(980)$ states
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• The chiral quark condensate and pion decay constant in nuclear matter at next-to-leading order
• Investigation of the $e^{+}{e}^{-}\to \omega {\pi }^0\to {\pi }^0{\pi }^0\gamma$ reaction in the energy domain near the $\varphi$-meson
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• Spontaneous Magnetization of the O(3) Ferromagnet at Low Temperatures
• Neutral Pion Photoproduction on Nuclei in Baryon Chiral Perturbation Theory
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• The extraction of hadronic parameters from experiments on pionium
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• Toy Model for Breaking Super Gauge Theories at the Effective Lagrangian Level
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• Scalar Lambda N and Lambda Lambda interaction in a chiral unitary approach
• Baryon masses in a chiral expansion with meson-baryon form factors
• A prediction of $D^{\ast }$-multi-$\rho$ states
• B --> pi and B --> K transitions in partially quenched chiral perturbation theory
• A study of $\eta K\bar{K}$ and ${\eta }^{\prime }K\bar{K}$ with the fixed center approximation to Faddeev equations
• The Glueball sector of two-flavor Color Superconductivity
• Non-perturbative chiral approach to Kp -->gamma Y reactions
• Three-body model for $K(1460)$ resonance
• The s-wave pion-nucleus optical potential
• Photoproduction of scalar mesons on protons and nuclei
• Predicting the existence of a 2.9 GeV $D{f}_0(980)$ molecular state
• Low--Energy Theorems for Weak Pion Production
• Hadron Structure in the Non-Perturbative Regime of QCD: Isospin Symmetry and its Violation
• Chiral Lagrangian and chiral quark model from confinement in QCD
• Electroweak Physics for Color Superconductivity
• In medium properties of axion within a Polyakov loop enhanced Nambu-Jona-Lasinio model
• Delta(1232) in piN -> pipiN reaction
• The reaction $\pi N\to \omega N$ in a dynamical coupled-channel approach
• Determination of the \bar K^0 d scattering length from the reaction pp \to d \bar K^0 K^+
• Introduction to Chiral Perturbation Theory
• Chiral condensate thermal evolution at finite baryon chemical potential within Chiral Perturbation Theory
• Indirect Detection of Sub-GeV Dark Matter Coupling to Quarks
• Chiral dynamics of baryon resonances and hadrons in a nuclear medium
• QCD chiral Lagrangian on the lattice, strong coupling expansion and Ward identities with Wilson fermions
• Baryon Chiral Perturbation Theory A.D. 1994
• Chiral Unitary Dynamics of Hadrons and Hadrons in a Nuclear Medium
• Renormalization of the f0(980) and a0(980) scalar resonances in a nuclear medium
• Description of $\rho (1700)$ as a $\rho K\bar{K}$ system with the fixed center approximation
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Quark mass dependence of baryon properties
• Is two-poles' $\Lambda (1405)$ one state or two?
• Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature
• (1+1)-dimensional Baryons from the SU(N) Color-Flavor Transformation
• On the Pais--Treiman method to measure $\pi \pi$ phase shifts in $K_{e4}$ decays
• Renormalization of the three flavor Lagrangian in heavy baryon chiral perturbation theory
• Upper Limits on a Possible Gluon Mass
• Unitarized chiral perturbation theory of hadrons
• The Convergence Radius of the Chiral Expansion in the Dyson-Schwinger Approach
• Isocalar Roper excitation in the pp --> pp pi0 reaction close to threshold
• Degeneracy patterns of chiral companions at finite temperature
• Probing the quark condensate by means of pi-pi scattering
• A Supersymmetric Effective Chiral Lagrangian
• The isospin symmetry breaking effects in $K_{e4}$ decays
• Inquiry for the π^+ π^- bound state conversion in two π^0 as being due to the Weinberg pion-pion-interaction lagrangian
• Reflections on Chiral Symmetry within QCD
• Dynamical Generation of Hyperon Resonances
• Threshold Pion Photo- and Electroproduction in Chiral Perturbation Theory
• Chiral dynamics of hadrons in nuclei
• The baryon mass calculation in the chiral soliton model at finite temperature and density
• Chiral unitary approach to hadron spectroscopy
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• Chiral effective field theories of the strong interactions
• States generated in the $K$-multi-$\rho$ interactions
• The structure functions of longitudinal virtual photon at low virtualities
• Quark condensate in QCD at nonzero magnetic field and temperature
• A unified formulation of one-loop tensor integrals for finite volume effects
• Pion-nucleon scattering with decuplet contribution in heavy baryon SU(3) chiral perturbation theory
• Three-Body approach to the K^- d Scattering Length in Particle Basis
• Massive States in Chiral Perturbation Theory
• Studying the baryon properties through chiral soliton model at finite temperature and denstity
• Exotic properties of N^*(1895) and its impact on photoproduction of light hyperons
• Chiral Perturbation Theory for Nuclear Physicists
• Pion-Pion Scattering in Two Dimensions
• Structural Vertices of Extended SU(3)-Chiral Lagrangians in the Large-N_c Approach
• Density resummation of perturbation series in a pion gas to leading order in chiral perturbation theory
• Pion-Pion Scattering in Chiral Perturbation and Dispersion Relation Theories
• Thermal Pions
• The Chiral 2-Sphere
• Topics in Chiral Perturbation Theory
• Chiral perturbation theory
• Recent developments in chiral dynamics of hadrons and hadrons in a nuclear medium
• Meson exchange between initial and final state and the $R_D$ ratio in the $\bar{B}\to D\bar{\nu }\ell ({\bar{\nu }}_{\tau }\tau )$ reactions
• Mean-field approximation for the chiral soliton in a chiral phase transition
• Remark on the Potential Function of the Linear Sigma Model
• Photo- and Electron-Production of Mesons on Nucleons and Nuclei
• Recent Developments in Chiral Unitary Dynamics of Resonances
• Chiral unitary theory: application to nuclear problems
• Aspects of Chiral Dynamics
• Electroweak Reactions in the Non-Perturbative Regime of QCD