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Title of Journal: Nuovo Cimento A 19651970

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Abbravation: Il Nuovo Cimento A (1965-1970)

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Springer Berlin Heidelberg

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DOI

10.1002/smr.245

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1826-9869

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A general treatment of current algebra

Authors: S Fubini
Publish Date: 1967/11/01
Volume: 52, Issue: 1, Pages: 224-241
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Abstract

A treatment of current algebra is proposed in which the fundamental identities are directly expressed as statements on the location and residues of fixed poles in the complexJplane The use of a representation of the scattering amplitude due to Khuri which has a simple general relation with the original Regge representation will give the most natural way of writing our identities This new approach allows us to give a meaning to commutators whose corresponding sum rules had to be discarded because of the divergence of the dispersion integralsПредлагается рассмотрение алгебры токов в котором фундаментальные тождества непосредственно выражаются как утверждения о положении и вычетах фиксированных полюсов в комплекснойJ плоскости Использование представления амплитуды рассеяния разработанного Хури которое имеет простую общую связь с обычным представлением Редже даст наиболее естественный способ написания наших тождеств Этот новый метод позволяет получить значение коммутаторов чьи соответствующие правила сумм должны быть отброшены изза расходимости дисперсионных интеграловSi propone un metodo per trattare l’algebra delle correnti che permette di esprimere le identità fondamentali direttamente come asserzioni sulla posizione e sui residui di poli fissi nel piano complesso diJ L’uso della rappresentazione di Khuri per l’ampiezza di diffusione che è in relazione semplice e generale con la rappresentazione originale di Regge dà la maniera più naturale di scrivere le nostre identità Con questo nuovo metodo si riesce a dar significato a commutatori le cui regole di somma dovevano essere scartate a causa della divergenza degli integrali dispersivi

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  2. Projector in constrained quantum dynamics
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  4. Analysis of the reaction π + p → ρ 0 Δ ++ at 11.7 GeV/c incident momentum
  5. Primakoff effect and π 0 lifetime
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  8. A measurement of the magnetic moment of the Σ + -hyperon
  9. Elastic and inelastic scattering of 0.8 GeV polarized protons from 18 O
  10. Surface waves in pion-proton elastic scattering
  11. A study of two-pion exchange contributions to quasi-elastic scattering at high energies
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  15. Doppler shift attenuation measurements on 57 Fe and 57 Co
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  19. SU 9 «composite» symmetry and weak interactions
  20. Small-angle scattering and absorption of 3.0 GeV/c antiprotons in nuclear emulsion
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  22. The sequential light-particle emission in peripheral heavy-ion collisions. A theoretical approach
  23. Energy gain of spherical shell targets ablatively imploded by thermal radiation
  24. Finite-energy sum rules on hyperbolas. — II
  25. K X-ray spectrum of Na excited by photons
  26. Singular-value decomposition of the nucleon-nucleon reactance matrix
  27. Inelastic π - 3 He interaction at 180 MeV 3 He interaction at 180 MeV
  28. Mechanism of particle production in nucleon-nucleon interactions at very high energies
  29. 852 keV first-forbidden beta transition in 115 Cd g
  30. Natural orbital calculations of nucleon momentum distributions
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  32. Two-variable crossing-symmetric expansion of the ππ scattering amplitude and low-energy parameter sum rules
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  34. Investigation of the 149 Sm (n, α) 146 Nd reaction induced by fast neutrons
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  47. Nuclear models and the hypernuclear interaction
  48. A χ 2 -test to study the α 1 , α 2 , α 3 convergence for high-precision LEP data, having in mind the SUSY threshold
  49. A study of the low-mass part of the (Kππ) system in the reaction K − p→K − pπ + π − at 8.25 GeV/c
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  51. Once more on the role of the bound-state wave function in the leptonic decays of light hadrons
  52. Dynamical fission and transitional mechanisms in medium-mass heavy-ion reactions
  53. Non-regge and hyper-regge effects in pion-nucleon charge exchange scattering at high energies
  54. Direct reconstruction of the pp scattering matrix below 500 MeV, an attempt
  55. Alternative interaction between spinor and Yang-Mills fields
  56. The proton leading-particle spectrum at accelerator energies
  57. Multiple pion production associated with % MathType!MTEF!2!1!+- % feaafiart1ev1aaatuuDJXwAK1uy0Hwmaerbfv3ySLgzG0uy0Hgip5 % wzamXvP5wqonvsaeHbfv3ySLgzaeXafv3ySLgzGmvETj2BSbWexLMB % bXgBcf2CPn2qVrwzqf2zLnharCWqVvNCPvMCG4uz3bqehqvATv2CG4 % uz3bIuV1wyUbqeeuuDJXwAKbsr4rNCHbGeaGqiVu0Je9sqqrpepC0x % bbL8F4rqqrFfpiZxe9LqFHe9Lqpepeea0xd9q8as0-LqLs-Jirpepe % ea0-as0Fb9pgea0lrP0xe9Fve9Fve9qapdbiGaaiGadiWacmaaceGa % aqaafaGbaaGcbaacfaGab83sayaaraWaaWbaaSqabeaacaWFWaaaaa % aa!4CBE! $$ \bar K^0 $$ in the 12.6 GeV/c K−p reaction0 in the 12.6 GeV/c K−p reactionМножественное рождение пионов, свяэанное с % MathType!MTEF!2!1!+- % feaafiart1ev1aaatuuDJXwAK1uy0Hwmaerbfv3ySLgzG0uy0Hgip5 % wzamXvP5wqonvsaeHbfv3ySLgzaeXafv3ySLgzGmvETj2BSbWexLMB % bXgBcf2CPn2qVrwzqf2zLnharCWqVvNCPvMCG4uz3bqehqvATv2CG4 % uz3bIuV1wyUbqeeuuDJXwAKbsr4rNCHbGeaGqiVu0Je9sqqrpepC0x % bbL8F4rqqrFfpiZxe9LqFHe9Lqpepeea0xd9q8as0-LqLs-Jirpepe % ea0-as0Fb9pgea0lrP0xe9Fve9Fve9qapdbiGaaiGadiWacmaaceGa % aqaafaGbaaGcbaacfaGab83sayaaraWaaWbaaSqabeaacaWFWaaaaa % aa!4CBE! $$ \bar K^0 $$ в реакции K−p при 12.6 ГэВ/с0 в реакции K−p при 12.6 ГэВ/с
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  59. A new approach to conformal invariant field theories
  60. Effective trajectories in the presence of Regge cuts
  61. π—-p interactions at 650 MeV
  62. Composite gauge fields from nonlinear realizations
  63. Approximate saturation of the algebra of axial currents
  64. Piecewise analyticity of S -matrix elements and nonlocal interactions
  65. The deck model for nucleon diffraction dissociation at very high energies
  66. Deformation and interaction energies in statistical multifragmentation
  67. Strings and fields
  68. Bound states of the two-dimensional O N model at finite temperatures
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  71. Off-energy-shell phase shifts in potential scattering
  72. A boundary-condition model for the P 33 pion-nucleon state
  73. O 4 invariance of a Bethe-Salpeter equation
  74. Tests for general models of deep inelastic lepton scattering
  75. Dual model with second-sheet resonances for pion-nucleon scattering
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  79. Fully-symmetric dual models and Lorentz invariance
  80. A temporarily free SU 6 gauge field theory model for strong interactions
  81. Inclusive and exclusive cross-sections in K − p interactions at 14.3 GeV/c
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  106. Semi-relativistic equation for quark-antiquark systems
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  110. Some remarks on charges and their conservation in a classical SU 2 yang-mills theory
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