On the solution of certain singular integral equations of quantum field theory
From MaRDI portal
Publication:3255636
DOI10.1007/BF02747746zbMath0083.09902OpenAlexW2097077370MaRDI QIDQ3255636
Publication date: 1958
Published in: Il Nuovo Cimento (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02747746
Singular nonlinear integral equations (45G05) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)
Related Items
Existence of Solutions of N/D Equations ⋮ Quarkonium bound-state problem in momentum space revisited ⋮ Asymptotic behaviour of a function expressed through a dispersion integral ⋮ A renormalized, ghost-free lee model ⋮ Complex Singularities in Production Amplitudes ⋮ Lee Model with Two<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>V</mml:mi></mml:math>Particles ⋮ Study of pion-hyperon resonances by dispersion relations in the unphysical sheet ⋮ Semi-spectral Chebyshev method in quantum mechanics ⋮ Solution of the Källén-Pauli Equation ⋮ Final-state interactions among three particles ⋮ Rescattering effects in nucleon-to-meson form factors and application to tau-lepton-induced proton decay ⋮ \(C\) and \(CP\) violation in effective field theories ⋮ Dynamical Approach to the Selection Rule<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo>|</mml:mo><mml:mi>Δ</mml:mi><mml:mi>I</mml:mi><mml:mo>|</mml:mo><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:math> ⋮ The O(N) monolith reloaded: sum rules and form factor bootstrap ⋮ On the connection between theS-matrix and a class of non-local interactions — I ⋮ A Soluble Problem in Dispersion Theory ⋮ On the validity of the exponential law for the decay of an unstable particle ⋮ Unitarity Condition Below Physical Thresholds in the Normal and Anomalous Cases ⋮ Dispersion Relations for Pion-Hyperon Production and a Possible Pion-Hyperon Resonance ⋮ Renormalization Constants in Quantum Electrodynamics ⋮ Some rigorous analytic properties of transition amplitudes ⋮ Dispersion relations for scattering wave functions in potential theory ⋮ Relativistic Model Field Theory with Finite Self-Masses ⋮ Bootstrapping massive quantum field theories ⋮ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>V</mml:mi><mml:mo>−</mml:mo><mml:mi>θ</mml:mi></mml:math>Collisions in the Lee Model ⋮ The isoscalar amplitudes for meson photoproduction ⋮ Anomalous thresholds in dispersion theory - I ⋮ Leptonic decay modes of K-mesons and hyperons ⋮ Pion photon scattering ⋮ Analytic Properties and Rescattering Correction to the Born Approximation for Transition Matrix Elements ⋮ The \(I= 1\) pion-pion scattering amplitude and timelike pion form factor from \(N_{f}=2+1\) lattice QCD ⋮ Transition Matrix for Nucleon-Nucleon Scattering. II ⋮ \(K_{\pi}\) vector form factor constrained by \(\tau \to K{\pi}\nu_{\tau}\) and \(K_{l_3}\) decays ⋮ Propagator Ghosts and Regge Poles ⋮ Solution of a Singular Integral Equation from Scattering Theory ⋮ Calculation of Deuteron Stripping Amplitudes Using<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-Matrix Reduction Techniques ⋮ Overlapping Final-State Interactions ⋮ Production and Scattering in Simple Models ⋮ Effect of Overlapping Resonances in Final States ⋮ Accurate numerical solutions of integral equations with kernels containing poles ⋮ Dispersion theory of nucleon Compton scattering and polarizabilities ⋮ Fredholm Character of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>D</mml:mi></mml:mrow></mml:mfrac></mml:math>Equations ⋮ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>V</mml:mi><mml:mo>−</mml:mo><mml:mi>A</mml:mi></mml:math>Theory and the Decay of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Λ</mml:mi></mml:math>Hyperon ⋮ Theory of low-energy scattering in field theory ⋮ On the iteration of a singular integral equation ⋮ Stochastic description for open quantum systems ⋮ Pion-Pion Interactions in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>τ</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>τ</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>Decays
Cites Work
- Introduction to Some Recent Work in Meson Theory
- Low's Scattering Equation for the Charged and Neutral Scalar Theories
- Theory of Photomeson Production at Low Energies
- Integral Equations for the Transition Matrices in the Static Meson Theory
- On the nucleons magnetic moments contribution to the radiative pion-nucleon scattering
- Meaning of the Solutions of Low's Scattering Equation
- Pion Production in Pion-Nucleon Collisions
