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Spinor

About: Spinor is a research topic. Over the lifetime, 8663 publications have been published within this topic receiving 173995 citations.


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Journal ArticleDOI
TL;DR: In this paper, a detailed quantitative calculation is carried out of the tunneling process described by the Belavin-Polyakov-Schwarz-Tyupkin field configuration, where a certain chiral symmetry is violated as a consequence of the Adler-Bell-Jackiw anomaly.
Abstract: A detailed quantitative calculation is carried out of the tunneling process described by the Belavin-Polyakov-Schwarz-Tyupkin field configuration. A certain chiral symmetry is violated as a consequence of the Adler-Bell-Jackiw anomaly. The collective motions of the pseudoparticle and all contributions from single loops of scalar, spinor, and vector fields are taken into account. The result is an effective interaction Lagrangian for the spinors.

2,171 citations

Journal ArticleDOI
TL;DR: In this article, it was shown that the existence of two-component Pauli spinors satisfying a second order differential equation and the suggestion that in β decay these spinors act without gradient couplings leads to an essentially unique weak four-fermion coupling.
Abstract: The representation of Fermi particles by two-component Pauli spinors satisfying a second order differential equation and the suggestion that in β decay these spinors act without gradient couplings leads to an essentially unique weak four-fermion coupling. It is equivalent to equal amounts of vector and axial vector coupling with two-component neutrinos and conservation of leptons. (The relative sign is not determined theoretically.) It is taken to be "universal"; the lifetime of the μ agrees to within the experimental errors of 2%. The vector part of the coupling is, by analogy with electric charge, assumed to be not renormalized by virtual mesons. This requires, for example, that pions are also "charged" in the sense that there is a direct interaction in which, say, a π0 goes to π- and an electron goes to a neutrino. The weak decays of strange particles will result qualitatively if the universality is extended to include a coupling involving a Λ or Σ fermion. Parity is then not conserved even for those decays like K→2π or 3π which involve no neutrinos. The theory is at variance with the measured angular correlation of electron and neutrino in He6, and with the fact that fewer than 10^-4 pion decay into electron and neutrino.

1,494 citations

Journal ArticleDOI
TL;DR: In this article, a superconductive solution describing the protonneutron doublet is obtained from a nonlinear spinor field Lagrangian, where the pions of finite mass are found as nucleonantinucleon bound states by introducing a small bare mass into the Lagrangians which otherwise possesses a certain type of the gamma /sub 5/ invariance.
Abstract: Continuing the program developed in a previous paper, a "superconductive" solution describing the protonneutron doublet is obtained from a nonlinear spinor field Lagrangian. The pions of finite mass are found as nucleonantinucleon bound states by introducing a small bare mass into the Lagrangian which otherwise possesses a certain type of the gamma /sub 5/ invariance. In addition, heavier mesons and two-nucleon bound states are obtained in the same approximation. On the basis of numerical mass relations, it is suggested that the bare nucleon field is similar to the electron-neutrino field, and further speculations are made concerning the complete description of the baryons and leptons. (auth)

1,478 citations

Journal ArticleDOI
TL;DR: In this article, the authors investigate the world volume theory that describes $N$ coincident M2-branes ending on an M5-brane and show how a Basu-Harvey fuzzy funnel arises as the Bogomol'nyi-Prasad-Sommerfield solution.
Abstract: We investigate the worldvolume theory that describes $N$ coincident M2-branes ending on an M5-brane. We argue that the fields that describe the transverse spacetime coordinates take values in a nonassociative algebra. We postulate a set of supersymmetry transformations and find that they close into a novel gauge symmetry. We propose a three-dimensional $N=2$ supersymmetric action to describe the truncation of the full theory to the scalar and spinor fields, and show how a Basu-Harvey fuzzy funnel arises as the Bogomol'nyi-Prasad-Sommerfield solution to this theory.

1,111 citations

Posted Content
17 May 2001
TL;DR: The octonions are the largest of the four normed division algebras and stand at the crossroads of many interesting fields of mathematics as discussed by the authors, including quantum logic, special relativity and supersymmetry.
Abstract: The octonions are the largest of the four normed division algebras While somewhat neglected due to their nonassociativity, they stand at the crossroads of many interesting fields of mathematics Here we describe them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups We also touch upon their applications in quantum logic, special relativity and supersymmetry

989 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023288
2022423
2021266
2020276
2019316
2018293