Topic
Spinor field
About: Spinor field is a research topic. Over the lifetime, 1431 publications have been published within this topic receiving 29834 citations. The topic is also known as: spinor fields.
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TL;DR: In this paper, a superconductive solution describing the proton-neutron doublet is obtained from a nonlinear spinor field Lagrangian, and the pions of finite mass are found as nucleon-antinucleon bound states by introducing a small bare mass into the Lagrangians which otherwise possesses a certain type of the ∆-ensuremath{gamma{5}$ invariance.
Abstract: Continuing the program developed in a previous paper, a "superconductive" solution describing the proton-neutron doublet is obtained from a nonlinear spinor field Lagrangian. We find the pions of finite mass as nucleon-antinucleon bound states by introducing a small bare mass into the Lagrangian which otherwise possesses a certain type of the ${\ensuremath{\gamma}}_{5}$ 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.
3,923 citations
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
TL;DR: In this article, a Lagrangian model invariant under supergauge transformations is studied and the relations among masses and couplings are shown to be preserved by renormalization.
1,070 citations
TL;DR: The connection between the dual spinor model and supersymmetric Yang-Mills theories was studied in this article, where it was shown that in the low-energy region, the dual-spinor model yields a supersymmemic Yang-mills theory with O(4) internal symmetry.
899 citations
TL;DR: In this paper, the authors consider the model of a spinor field with arbitrary internal degrees of freedom having arbitrary nonderivative coupling to external scalar, pseudoscalar, vector, and axial-vector fields.
Abstract: We consider the model of a spinor field with arbitrary internal degrees of freedom having arbitrary nonderivative coupling to external scalar, pseudoscalar, vector, and axial-vector fields. By carefully defining the $S$ matrix in the interaction picture, the vector and axial-vector currents associated with the external vector and axial-vector fields are found to satisfy anomalous Ward identities. If we require that the vector currents satisfy the usual Ward identities, the divergence of the axial-vector current contains well-defined anomalous terms. These terms are explicitly calculated.
777 citations