Twisted Fermionic Oscillator Algebra in $\kappa$-Minkowski space-time

Abstract

In this paper, we investigate the twisted algebra of the fermionic oscillators associated with Dirac field defined in $\kappa$-Minkowski space-time. Starting from $\kappa$-deformed Dirac theory, which is invariant under the undeformed $\kappa$-Poincare algebra, using the twisted flip operator, we derive the deformed algebra of the creation and annihilation operators corresponding to the Dirac field quanta in $\kappa$-Minkowski space-time. In the limit $a\to 0$, the deformed algebra reduces to the commutative result.

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Cited by in corpus (2)

• Effect of Non-commutativity of space-time on Thermodynamics of Photon gas
• Particle Dynamics and Lie-algebraic type of Non-commutativity of space-time