On the Feynman—Gell-Mann equation

✍ Scribed by Franco Gallone

• Publisher: Elsevier Science
• Year: 1970
• Tongue: English
• Weight: 613 KB
• Volume: 57
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(70)90269-1

✦ Synopsis

The Feynman-Gell-Mann equation is reduced to the form of an invariant Gel'fand equation for spin one-half. A Lagrangian theory from which this equation may be derived is proposed. It is shown that a Feynman-Gell-Mann equation for charge -e is transformed by space inversion into the complex conjugate of the same equation for charge +e. Both unitary and antiunitary time inversion transformation laws are found. In this formulation charge conjugation is equivalent to complex conjugation and the request of full Lorentz invariance and of a Lagrangian density for the Feynman-Gell-Mann equation leads to recover the second order Dirac equation.