2017•viXraOpen access

DERIVATION OF INTERACTIONS FROM DIRAC EQUATION

Vu B Ho

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Abstract

In this work, we show that a massless physical field that accompanies a massive particle can be derived from Dirac equation, such as an electron is accompanied by the Coulomb electrostatic field, and we show that Dirac equation can also be generalised to form a field equation to describe internal dynamics of massless physical fields by considering the components of the momentum operators as matrix operators rather than scalar operators as in the original Dirac equation. One of many remarkable results that can be obtained from the generalised Dirac field equation is a linear potential that may be used to describe the quark confinement at large distances in the quark model.

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What this paper is about

In this work, we show that a massless physical field that accompanies a massive particle can be derived from Dirac equation, such as an electron is accompanied by the Coulomb electrostatic field, and we show that Dirac equation can also be generalised to form a field equation to describe internal dynamics of massless physical fields by considering the components of the momentum operators as matrix operators rather than scalar operators as in the original Dirac equation. One of many remarkable results that can be obtained from the generalised Dirac field equation is a linear potential that may be used to describe the quark confinement at large distances in the quark model.

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Available abstract

In this work, we show that a massless physical field that accompanies a massive particle can be derived from Dirac equation, such as an electron is accompanied by the Coulomb electrostatic field, and we show that Dirac equation can also be generalised to form a field equation to describe internal dynamics of massless physical fields by considering the components of the momentum operators as matrix operators rather than scalar operators as in the original Dirac equation. One of many remarkable results that can be obtained from the generalised Dirac field equation is a linear potential that may be used to describe the quark confinement at large distances in the quark model.

Key concepts: Dirac equation, Dirac sea, Two-body Dirac equations, Physics, Dirac algebra, Causal fermion system, Massless particle, Dirac fermion

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