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Title of Journal: Nuov Cim A

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Abbravation: Il Nuovo Cimento A (1965-1970)

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Società Italiana di Fisica

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DOI

10.1016/0006-2952(75)90430-x

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1826-9869

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A new approach to conformal invariant field theori

Authors: S Fubini
Publish Date: 2008/01/18
Volume: 34, Issue: 4, Pages: 521-554
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Abstract

A new approach to conformal invariant field theories is presented The physical idea is to introduce a fundamental scale of hadron phenomena by means of a dilatation noninvariant vacuum state in the framework of a scaleinvariant Lagrangian field theory A new unconventional feature is that this programme can only be carried out if the «vacuum» state is not translation invariant The «vacuum» is still invariant under a 10parameter subgroup of the full conformal group but this subgroup does not coincide with the Poincaré group A physical interpretation based on an appropriate averaging on an infinite ensemble of equivalent «vacuum» states allows to preserve energy momentum conservation which is defined within a thermodynamical frameworkПредлагается новый подход к конформноинвариантным теориям поля Основная физическая идея представляет введение фундаментальной шкалы для адронных явлений с помощью расширения неинвариантного вакуумного состояния в рамках теории поля с масштабноинвариантным Лагранжианом Новая необычная особенность состоит в том что эта программа может быть реализована только если состояние «вакуума» не является трансляционно инвариантным «Вакуум» является инвариантным относительно 10параметрической подгруппы полностью конформной группы но эта подгруппа не совпадает с группой Пуанкаре Физическая интерпретация основанная на соответсвующем усреднении по бесконечному ансамблю эквивалентных «вакуумных» состояний приводит к закону сохранения энергииимпульса который определяется в рамках термодинамикиSi propone una nuova trattazione delle teorie dei campi invarianti conformi L’idea di partenza è di introdurre una lunghezza fondamentale per i fenomeni adronici utilizzando uno stato di vuoto non invariante rispetto a dilatazioni in corrispondenza a una Lagrangiana invariante conforme Una caratteristica non convenzionale di questo programma ha che questo richiede uno stato di «vuoto» non invariante rispetto a traslazioni Il «vuoto» è ancora invariante rispetto a un sottogruppo a 10 parametri del gruppo conforme ma tale sottogruppo non coincide con il gruppo di Poincaré Un’interpretazione fisica basata sulla media su un insieme di infiniti equivalenti «stati di vuoto» permette di preservare la conservazione del quadriimpulso

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  1. Second-order phase transitions in three dimensions
  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
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  10. Surface waves in pion-proton elastic scattering
  11. A study of two-pion exchange contributions to quasi-elastic scattering at high energies
  12. Discrimination between the standard theory of electroweak interactions and its extensions
  13. Coloured supersymmetry
  14. Three generations and a large top-quark mass
  15. Doppler shift attenuation measurements on 57 Fe and 57 Co
  16. Charge radii of nucleons
  17. Regge poles with kinematic cuts in pion photoproduction
  18. Existence of solutions of partial-wave dispersion relations and singular N/D equations
  19. SU 9 «composite» symmetry and weak interactions
  20. Small-angle scattering and absorption of 3.0 GeV/c antiprotons in nuclear emulsion
  21. The spectrum of b $$\bar c$$ , t $$\bar c$$ and t $$\bar b$$ ; bound states in the two-step potential model
  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
  31. A redefinition of quantum-mechanical exchange and Coulomb integrals by a reinterpretation of atomic and molecular orbitals as Taylor expansions of a potential and a similar treatment of the electromagnetic field.
  32. Two-variable crossing-symmetric expansion of the ππ scattering amplitude and low-energy parameter sum rules
  33. Reduction of complex electromagnetic fields to the irreducible representations of the inhomogeneous Lorentz group
  34. Investigation of the 149 Sm (n, α) 146 Nd reaction induced by fast neutrons
  35. Conformal covariance of Dirac-Maxwell and ’t Hooft-Polyakov monopole theories
  36. The $$\bar K$$ N system near thresholdsystem near thresholdСистема $$\bar K$$ N вблиэи порогавблиэи порога
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  39. The pion decay constant as a scale for hadron dynamics
  40. Absorption corrections for the double peripheral model
  41. The 12 C+ 12 C→α+ 20 Ne reaction mechanism and angular-momentum effects
  42. Multiple-quark-scattering analysis of hadron charge-exchange scattering
  43. Polarization of $$\Sigma ^ + and \bar \Sigma ^ - $$ hyperons produced in high-energy proton-nucleus collisionshyperons produced in high-energy proton-nucleus collisions
  44. Heavy-ion reactions with nucleon transfer
  45. Vertex functions and form factors for conformal spin-1/2 systems
  46. Baryon properties in chiral models
  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
  50. A homological approach to parametric Feynman integrals
  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
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  56. The proton leading-particle spectrum at accelerator energies
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  58. Lifetime of the ∑ − -hyperon
  59. Effective trajectories in the presence of Regge cuts
  60. π—-p interactions at 650 MeV
  61. Composite gauge fields from nonlinear realizations
  62. Approximate saturation of the algebra of axial currents
  63. A general treatment of current algebra
  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
  76. Evidences for associated heat generation and nuclear products release in palladium heavy-water electrolysis
  77. Nonstatistical structures in 12 C( 14 N, 4 He) 22 Na reaction
  78. On some properties of the multi-particle amplitude expressed as a function of group-theoretical variables
  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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  100. Electron form factors up to fourth order. - I
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  110. Some remarks on charges and their conservation in a classical SU 2 yang-mills theory
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