Fock space, quantum fields and kappa-Poincaré symmetries

Abstract

We study the quantization of a linear scalar field, whose symmetries are described by the kappa-Poincare' Hopf-algebra, via deformed Fock space construction. The one-particle sector of the theory exhibits a natural (planckian) cut-off for the field modes. At the multi-particle level the non-trivial co-algebra structure of kappa-Poincare' leads to a deformed bosonization in the construction of Fock space states. These physical states carry energy-momentum charges which are divergenceless and obey a deformed dispersion relation.

arXiv commentRevTeX, 17 pages, 5 figures

References in corpus (26)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
• The quantum structure of spacetime at the Planck scale and quantum fields
• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
• Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV-$\gamma$ paradoxes
• 3d Quantum Gravity and Effective Non-Commutative Quantum Field Theory
• New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications
• Quantum symmetry, the cosmological constant and Planck scale phenomenology
• Coproduct and star product in field theories on Lie-algebra non-commutative space-times
• Deformed Field Theory on kappa-spacetime
• Spin and Statistics on the Groenewold-Moyal Plane: Pauli-Forbidden Levels and Transitions
• Local D=4 Field Theory on $\kappa$--Deformed Minkowski Space
• 2+1 gravity and Doubly Special Relativity
• Statistics and UV-IR Mixing with Twisted Poincare Invariance
• From noncommutative kappa-Minkowski to Minkowski space-time
• Hopf-algebra description of noncommutative-spacetime symmetries
• Dirac spinors for Doubly Special Relativity and $\kappa$-Minkowski noncommutative spacetime
• Symplectic geometry and Noether charges for Hopf algebra space-time symmetries
• Noncommutative Field Theory from twisted Fock space
• Introduction to Quantum-Gravity Phenomenology
• Implications of Spacetime Quantization for the Bahcall-Waxman Neutrino Bound
• $\kappa -$Minkowski spacetime and a uniformly accelerating observer
• QFT with Twisted Poincaré Invariance and the Moyal Product
• Kappa-deformed quantum field theory and Casimir effect

Cited by in corpus (78)

• Minimal Length Scale Scenarios for Quantum Gravity
• Fundamental quantum optics experiments conceivable with satellites -- reaching relativistic distances and velocities
• Twisted Statistics in kappa-Minkowski Spacetime
• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Field theory on $\kappa$--Minkowski space revisited: Noether charges and breaking of Lorentz symmetry
• Towards Quantum Noncommutative $\kappa$-deformed Field Theory
• Scalar Field Theory on Non-commutative Snyder Space-Time
• 4d Deformed Special Relativity from Group Field Theories
• Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
• Constraints on the quantum gravity scale from kappa - Minkowski spacetime
• Fractional and noncommutative spacetimes
• Scalar field theory on kappa-Minkowski spacetime and translation and Lorentz invariance
• Generalized Poincare algebras, Hopf algebras and kappa-Minkowski spacetime
• Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem
• Lorentz invariant field theory on kappa-Minkowski space
• A no-pure-boost uncertainty principle from spacetime noncommutativity
• Anatomy of a deformed symmetry: field quantization on curved momentum space
• Rainbow statistics
• Pauli-Jordan Function and Scalar Field Quantization in $\kappa$-Minkowski Noncommutative Spacetime
• Quantum fields, non-locality and quantum group symmetries
• On kappa-deformation and triangular quasibialgebra structure
• Black-hole entropy and minimal diffusion
• The Hidden Quantum Groups Symmetry of Super-renormalizable Gravity
• Covariant particle exchange for kappa-deformed theories in 1+1 dimensions
• Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
• K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist
• Interplay between curvature and Planck-scale effects in astrophysics and cosmology
• Differential structure on the $\kappa$-Minkowski spacetime from twist
• $\kappa$-Deformed Phase Space, Hopf Algebroid and Twisting
• Differential Structure on kappa-Minkowski Spacetime Realized as Module of Twisted Weyl Algebra
• Kappa-deformed oscillators, the choice of star product and free kappa-deformed quantum fields
• $\kappa$-deformed complex fields and discrete symmetries
• Quantum statistics and noncommutative black holes
• Testing Noncommutative Spacetimes and Violations of the Pauli Exclusion Principle with underground experiments
• $k$-Minkowski-deformation of $U(1)$ gauge theory
• The 2D $\kappa$-Dirac oscillator
• Twisting and kappa-Poincare
• Kinematics of a relativistic particle with de Sitter momentum space
• Quantum spectral dimension in quantum field theory
• Star product and interacting fields on $\kappa$-Minkowski space
• Strongest atomic physics bounds on Non-Commutative Quantum Gravity Models
• Interplay between spacetime curvature, speed of light and quantum deformations of relativistic symmetries
• $\kappa$-Poincaré-comodules, Braided Tensor Products and Noncommutative Quantum Field Theory
• Signal propagation on $\kappa$-Minkowski spacetime and non-local two-point functions
• Scalar Field theory in $\kappa$-Minkowski spacetime from twist
• On limitations of the extent of inertial frames in non-commutative relativistic spacetimes
• Different realizations of kappa-momentum space and relative-locality effect
• Deformed Special Relativity from Asymptotically Safe Gravity
• Low-energy constraints on kappa-Minkowski extension of the Standard Model
• Field Theory on Curved Noncommutative Spacetimes
• Universal $\kappa$-Poincaré covariant differential calculus over $\kappa$-Minkowski space
• Differential forms and k-Minkowski spacetime from extended twist
• On the 5D differential calculus and translation transformations in 4D kappa-Minkowski noncommutative spacetime
• Canonical and Lie-algebraic twist deformations of $\kappa$-Poincare and contractions to $\kappa$-Galilei algebras
• Experimental test of Non-Commutative Quantum Gravity by VIP-2 Lead
• Effects of quantum deformation on the integer quantum Hall effect
• Beyond Fock space in three dimensional semiclassical gravity
• Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes
• A group theoretic description of the $\kappa$-Poincaré Hopf algebra
• Neutron-antineutron transition as a test-bed for dynamical CPT violations
• Extending general covariance: Moyal-type noncommutative manifolds
• Effects of quantum deformation on the Jaynes-Cummings and anti-Jaynes-Cummings models
• Quantum particles in non-commutative space-time: an identity crisis
• Correlation between opposite-helicity gravitons: Imprints on gravity-wave and microwave backgrounds
• Accelerated horizons and Planck-scale kinematics
• Quantization of fluctuations in DSR: the two-point function and beyond
• Multiparticle states in braided lightlike $\kappa$-Minkowski noncommutative QFT
• Deformed phase spaces with group valued momenta
• Hidden entanglement at the Planck scale: loss of unitarity and the information paradox
• kappa-Deformed Oscillators: Deformed Multiplication Versus Deformed Flip Operator and Multiparticle Clusters
• Quantization of kappa-deformed free fields and kappa-deformed oscillators
• Noncommutative kappa-Minkowski phi4 theory: Construction, properties and propagation
• The Weyl-Mellin quantization map for $\kappa$-Minkowski Noncommutative Spacetime
• Braided algebras and the kappa-deformed oscillators
• Quantum speed limit as a sensitive probe of Planck-scale effects
• Three-dimensional gravity and deformations of relativistic symmetries
• The covariant and on-shell statistics in kappa-deformed spacetime
• Primitively divergent diagrams in $\kappa$-deformed scalar field with quartic self-interaction