QUANTUM FIELD THEORY OF FERMION MIXING

Abstract

The fermion mixing transformations are studied in the quantum field theory framework. In particular neutrino mixing is considered and the Fock space of definite flavor states is shown to be unitarily inequivalent to the Fock space of definite mass states. The flavor oscillation formula is computed for two and three flavors mixing and the oscillation amplitude is found to be momentum dependent, a result which may be subject to experimental test. The flavor vacuum state exhibits the structure of $SU(2)$ generalized coherent state.

28 pages, LaTex

Cited by in corpus (139)

• Oscillations of neutrinos and mesons in quantum field theory
• Entanglement in neutrino oscillations
• The exact formula for neutrino oscillations
• Quantum Field Theory of three flavor neutrino mixing and oscillations with CP violation
• Quantum Field Theory of boson mixing
• Neutrino mixing contribution to the cosmological constant
• Towards a unique formula for neutrino oscillations in vacuum
• Note on the field theory of neutrino mixing
• Neutrino mixing as a source of dark energy
• The General Theory of Quantum Field Mixing
• GUP parameter from Maximal Acceleration
• Remarks on flavor-neutrino propagators and oscillation formulae
• CPT Violating Decoherence and LSND: a possible window to Planck scale Physics
• Einstein, Planck and Vera Rubin: relevant encounters between the Cosmological and the Quantum Worlds
• Dark energy and particle mixing
• Lepton charge and neutrino mixing in pion decay processes
• Neutrino oscillations in extended theories of gravity
• Fock States of Flavor Neutrinos are Unphysical
• Decoherent Neutrino Mixing, Dark Energy and Matter-Antimatter Asymmetry
• A field-theoretical approach to entanglement in neutrino mixing and oscillations
• Dark energy, cosmological constant and neutrino mixing
• Phenomenology of flavor oscillations with non-perturbative effects from quantum field theory
• Remarks on the neutrino oscillation formula
• Non-thermal signature of the Unruh effect in field mixing
• Role of neutrino mixing in accelerated proton decay
• Flavor and chiral oscillations with Dirac wave packets
• Neutrino oscillations from relativistic flavor currents
• Currents and charges for mixed fields
• Fermion mixing in quasi-free states
• Nonperturbative Vacuum Effect in the Quantum Field Theory of Meson Mixing
• Wave packet approach to quantum correlations in neutrino oscillations
• Neutrino flavor oscillations without flavor states
• q-generalized Tsallis thermostatistics in Unruh effect for mixed fields
• Quantum Field Theory of Meson Mixing
• Dirac Spinors and Flavor Oscillations
• Neutrino Flavor States and the Quantum Theory of Neutrino Oscillations
• Time-energy uncertainty relation for neutrino oscillations in curved spacetime
• Regularization schemes and the multiplicative anomaly
• Flavour Condensates in Brane Models and Dark Energy
• Towards a microscopic construction of flavour vacua from a space-time foam model
• Saez-Ballester gravity in Kantowski-Sachs Universe: a new reconstruction paradigm for Barrow Holographic Dark Energy
• Neutrino mixing, flavor states and dark energy
• On the beta-decay of the accelerated proton and neutrino oscillations: a three-flavor description with CP violation
• Casimir effect for mixed fields
• Complete complementarity relations for quantum correlations in neutrino oscillations
• Neutrino oscillations in the Unruh radiation
• Flavor Energy uncertainty relations for neutrino oscillations in quantum field theory
• Particle quantum states with indefinite mass and neutrino oscillations
• Neutrino mixing and Lorentz invariance
• Mixing and oscillations of neutral particles in Quantum Field Theory
• Mixing-induced Spontaneous Supersymmetry Breaking
• Effects of gravitational lensing on neutrino oscillation in $\gamma$-spacetime
• On flavor conservation in weak interaction decays involving mixed neutrinos
• Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos
• Vacuum structure and effective potential at finite temperature: a variational approach
• Dynamical generation of field mixing via flavor vacuum condensate
• Particle mixing, flavor condensate and dark energy
• Non-abelian gauge structure in neutrino mixing
• Measuring the heavy neutrino oscillations in rare W boson decays at the Large Hadron Collider
• Quantum flavor oscillations extended to the Dirac theory
• First quantized approaches to neutrino oscillations and second quantization
• On the role of the rotations and Bogoliubov transformations in neutrino mixing
• CPT and lepton number violation in neutrino sector: Modified mass matrix and oscillation due to gravity
• Neutrino oscillations in accelerated frames
• Chiral oscillations in the non-relativistic regime
• Quantum correlations and the neutrino mass degeneracy problem
• Non-cyclic phases for neutrino oscillations in quantum field theory
• Effective field theory for lambda-sigma^0 mixing in nuclear matter
• Flavour-Condensate-induced Breaking of Supersymmetry in Free Wess-Zumino Fluids
• On entanglement in neutrino mixing and oscillations
• Condensate Structure of D-particle Induced Flavour Vacuum
• Some non-trivial aspects of Poincaré and CPT invariance of flavor vacuum
• Spin-Independent Two-Neutrino Exchange Potential with Mixing and $CP$-Violation
• Functional integrals and inequivalent representations in Quantum Field Theory
• A Paradox on Quantum Field Theory of Neutrino Mixing and Oscillations
• Unified formalism for Thermal Quantum Field Theories: a geometric viewpoint
• Quantum Field Theory of Particle Oscillations: Neutron-Antineutron Conversion
• Non-relativistic neutrinos and the weak equivalence principle apparent violation
• Heuristic derivation of the Casimir effect from Generalized Uncertainty Principle
• Intrinsic flavor violation for massive neutrinos
• Dynamics of chiral oscillations - A comparative analysis with spin-flipping
• Charged lepton mixing and oscillations from neutrino mixing in the early Universe
• Evolution of coupled classical fields
• Time-to-space conversion in quantum field theory of flavor mixing
• Oscillations of Dirac and Majorana neutrinos in matter and a magnetic field
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Oscillations and evolution of a hot and dense gas of flavor neutrinos: a quantum field theory study
• Theory of Neutrino Oscillations
• Second-order corrections to neutrino two-flavor oscillation parameters in the wave packet approach
• Interactions and oscillations of coherent flavor eigenstates in beta decay
• Microscopic and Macroscopic Effects in the Decoherence of Neutrino Oscillations
• Neutrino production states in oscillation phenomena - are they pure or mixed?
• Physical flavor neutrino states
• Nonlocality and entropic uncertainty relations in neutrino oscillations
• On Neutrino Flavor States
• Flavor coupled with chiral oscillations in the presence of an external magnetic field
• Flavor vacuum entanglement in boson mixing
• A framework for dynamical generation of flavor mixing
• On flavor violation for massive and mixed neutrinos
• Mixing of fermions and spectral representation of propagator
• On the flavor/mass dichotomy for mixed neutrinos: a phenomenologically motivated analysis based on lepton charge conservation in neutron decay
• A note on oscillating neutrino states in quantum field theory
• Can Oscillating Neutrino States Be Formulated Universally?
• Maximal correlation between flavor entanglement and oscillation damping due to localization effects
• Doubling of the Algebra and Neutrino Mixing within Noncommutative Spectral Geometry
• Theoretical correlation between possible evidences of neutrino chiral oscillations and polarization measurements
• Dark energy induced by neutrino mixing
• Kaniadakis entropy-based characterization of IceCube PeV neutrino signals
• Time-energy uncertainty relation for neutrino oscillations: historical development, applications and future prospects
• Evolution of coupled fermions under the influence of an external axial-vector field
• Flavor neutrino states for pedestrians
• Neutrino Mixing and Oscillations in Quantum Field Theory
• Neutrino astrophysics : recent advances and open issues
• Additional time-dependent phase in the flavor-conversion formulas
• Flavor mixing in a Lee-type model
• An infrared origin of leptonic mixing and its test at DeepCore
• Virtual neutrino propagation at short baselines
• Generalized generating functional for mixed-representation Green's functions: A quantum mechanical approach
• Comment on the Comment on the paper "Can oscillating neutrino states be formulated universally?''
• Multiplicative anomaly and finite charge density
• Dark Matter and Dark Energy via Non-Perturbative (Flavour) Vacua
• Coherence in Neutrino Interactions
• Fermion mixing in curved spacetime
• Neutrino decoherence and violation of the strong equivalence principle
• On Normal ordering and Canonical transformations in Thermal Field Theory
• Neutrino oscillations as many-particle induced interference between distinguishable particles
• Synthesis of Majorana mass terms in low-energy quantum systems
• Ultralight dark photon and Casimir effect
• Majorana neutrino oscillations in vacuum
• Quantum Gravity, Flavour Vacua and Supersymmetry
• Evolution of Mixed Particles Interacting with Classical Sources
• Neutrino oscillations in a trapping potential
• Influence of second-order corrections to the energy-dependence of neutrino flavor conversion formulae
• Expectation values of flavor-neutrino numbers with respect to neutrino-source hadron states --Neutrino oscillations and decay probabilities--
• Particle mixing as possible explanation of the dark energy conundrum
• Neutrino Flavour Waves Through the Quantum Vacuum: A Theory of Oscillations
• Evolution of Coupled Scalar and Spinor Particles in Classical Field Theory
• Flavour Condensate and the Dark Sector of the Universe
• Gravitational effects on neutrino decoherence in Lense-Thirring metric