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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

10.1016/0010-938x(94)00146-w

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1826-9869

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Alternative interaction between spinor and YangMi

Authors: E Marx
Publish Date: 2007/10/16
Volume: 81, Issue: 4, Pages: 759-769
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Abstract

We introduce a new interaction between the classical spinorisospinor field and the YangMills field This interaction is derived from a Lagrangian density that is invariant under Lorentz transformations in spacetime and local unimodular transformations in isospace We find a new conserved isovector current density via Noether’s theorem The source of the isoscalar part of the YangMills field is an isoscalar current density which has to be conserved as a constraint the corresponding charge is no longer positive definite which makes this formalism suitable for use in the context of relativistic quantum mechanicsМы вводим новое вэаимодействие между классическим спинорнымиэоспИнор ным полем и полем ЯнгаМиллса Это вэаимодействие выводится иэ плотности Лагранжиана которая является инвариантной относительно преобраэований Лоренца в пространствевремени и относительно локальных унимодальных преобраэований в иэопространстве Мы получаем новую сохраняюшуюся плотность иэовекторного тока череэ теорему Нозтера Источник для иэоскалярной части поля ЯнгаМиллса представляет иэоскалярную плотность тока которая должна сохраняться как ограничение соответствуюший эаряд не является положительно определенным что делает зтот формалиэм удобным для испольэования в релятивистской квантовой механикеS’introduce una nuova interazione tra il campo classico spinorialeisospinoriale e il campo di YangMills Questa interazione si deriva da una densità lagrangiana che è invariante rispetto a trasformazioni di Lorentz nello spaziotempo e rispetto a transformazioni locali unimodulari nell’isospazio Si trova una nuova densità di corrente isovettoriale conservata mediante il teorema di Noether La sorgente della parte isoscalare del campo di YangMills è una densità di corrente isoscalare che si deve conservare come vincolo la carica corrispondente non è più definita positiva il che rende questo formalismo adatto ad essere usato nell’ambito della meccanica quantistica relativistica

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  2. Projector in constrained quantum dynamics
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  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
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  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
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  58. A new approach to conformal invariant field theories
  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
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  66. Deformation and interaction energies in statistical multifragmentation
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