Scalar Field theory in $\kappa$-Minkowski spacetime from twist

Abstract

Using the twist deformation of $U(igl(4,R))$, the linear part of the diffeomorphism, we define a scalar function and construct a free scalar field theory in four-dimensional $\kappa$-Minkowski spacetime. The action in momentum space turns out to differ only in integration measure from the commutative theory.

14 pages, no figures, minor changes, add references

References in corpus (17)

• Kappa-Minkowski space-time and the star product realizations
• Twisted Statistics in kappa-Minkowski Spacetime
• Fock space, quantum fields and kappa-Poincaré symmetries
• Field theory on $\kappa$--Minkowski space revisited: Noether charges and breaking of Lorentz symmetry
• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• From noncommutative kappa-Minkowski to Minkowski space-time
• Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
• Generalized kappa-deformed spaces, star-products, and their realizations
• Symplectic geometry and Noether charges for Hopf algebra space-time symmetries
• kappa-deformed Spacetime From Twist
• $\kappa$-Deformed Statistics and Classical Fourmomentum Addition Law
• Covariant particle exchange for kappa-deformed theories in 1+1 dimensions
• Differential structure on the $\kappa$-Minkowski spacetime from twist
• On general properties of Lorentz invariant formulation of noncommutative quantum field theory
• $\kappa -$Minkowski spacetime and a uniformly accelerating observer
• Blackbody radiation in κ-Minkowski spacetime
• Casimir energy of a spherical shell in $\kappa -$Minkowski spacetime

Cited by in corpus (17)

• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Scalar Field Theory on Non-commutative Snyder Space-Time
• Generalized Poincare algebras, Hopf algebras and kappa-Minkowski spacetime
• Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
• Toward the classification of differential calculi on $\kappa$-Minkowski space and related field theories
• K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist
• Differential algebras on kappa-Minkowski space and action of the Lorentz algebra
• $\kappa$-Deformed Phase Space, Hopf Algebroid and Twisting
• $\kappa$-deformed complex fields and discrete symmetries
• Realizations of $\kappa$-Minkowski space, Drinfeld twists and related symmetry algebras
• Kappa-deformation of phase space; generalized Poincare algebras and R-matrix
• Differential forms and k-Minkowski spacetime from extended twist
• Universal $\kappa$-Poincaré covariant differential calculus over $\kappa$-Minkowski space
• Quantum particles in non-commutative space-time: an identity crisis
• Deformed phase spaces with group valued momenta
• Noncommutative kappa-Minkowski phi4 theory: Construction, properties and propagation
• Braided Statistics from Abelian Twist in $\kappa$-Minkowski Spacetime