A twisted look on kappa-Minkowski: U(1) gauge theory

Abstract

Kappa-Minkowski space-time is an example of noncommutative space-time with potentially interesting phenomenological consequences. However, the construction of field theories on this space, although operationally well-defined, is plagued with ambiguities. A part of ambiguities can be resolved by clarifying the geometrical picture of gauge transformations on the kappa-Minkowski space-time. To this end we use the twist approach to construct the noncommutative U(1) gauge theory coupled to fermions. However, in this approach we cannot maintain the kappa-Poincaré symmetry; the corresponding symmetry of the twisted kappa-Minkowski space is the twisted igl(1,3) symmetry. We construct an action for the gauge and matter fields in a geometric way, as an integral of a maximal form. We use the Seiberg-Witten map to relate noncommutative and commutative degrees of freedom and expand the action to obtain the first order corrections in the deformation parameter.

24 pages, clarifications added, reference list updated, to appear in JHEP

References in corpus (7)

• Kappa-Minkowski space-time and the star product realizations
• Relative locality: A deepening of the relativity principle
• Gauge theories on the kappa-Minkowski spacetime
• Noncommutative D=4 gravity coupled to fermions
• Bounds on an energy-dependent and observer-independent speed of light from violations of locality
• Scalar field theory on kappa-Minkowski spacetime and translation and Lorentz invariance
• Low-energy constraints on kappa-Minkowski extension of the Standard Model

Cited by in corpus (24)

• On the $\kappa$-Dirac Oscillator revisited
• Noncommutative Scalar Quasinormal Modes of the Reissner Nordström Black Hole
• Noncommutative field theory from angular twist
• Pauli-Jordan Function and Scalar Field Quantization in $\kappa$-Minkowski Noncommutative Spacetime
• Gauge theories on quantum spaces
• $k$-Minkowski-deformation of $U(1)$ gauge theory
• The 2D $\kappa$-Dirac oscillator
• Poisson gauge theory
• Noncommutativity and logarithmic correction to the black hole entropy
• Gauge Theory on Twisted $\kappa$-Minkowski: Old Problems and Possible Solutions
• Kappa-deformation of phase space; generalized Poincare algebras and R-matrix
• Seiberg-Witten maps and scattering amplitudes of NCQED
• Universal $\kappa$-Poincaré covariant differential calculus over $\kappa$-Minkowski space
• $L_{\infty }$-Bootstrap Approach to Non-Commutative Gauge Theories
• Lie-Poisson gauge theories and $\kappa$-Minkowski electrodynamics
• Field theories on $\rho$-deformed Minkowski space-time
• Directly from $H$-flux to the family of three nonlocal $R$-flux theories
• Poisson electrodynamics on $\kappa$-Minkowski space-time
• $\kappa$-General-Relativity I: a Non-Commutative GR Theory with the $\kappa$-Minkowski Spacetime as its Flat Limit
• $\kappa$-deformed power spectrum and modified Unruh temperature
• Dirac Operators on Noncommutative Curved Spacetimes
• Entropy of black holes, charged probes and noncommutative generalization
• DSR-relativistic spacetime picture and the phenomenology of Planck-scale-modified time dilation
• Star-products for Lie-algebraic noncommutative Minkowski space-times