Quantum Field Theory of Meson Mixing

Abstract

We have developed a quantum field theoretic framework for scalar and pseudoscalar meson mixing and oscillations in time. The unitary inequivalence of the Fock space of base (unmixed) eigenstates and the physical mixed eigenstates is proven and shown to lead to a rich condensate structure. This is exploited to develop formulas for two flavor boson oscillations in systems of arbitrary boson occupation number. The mixing and oscillation can be understood in terms of vacuum condensate which interacts with the bare particles to induce non-trivial effects. We apply these formulas to analyze the mixing of $\eta$ with ${\eta }^{\prime }$ and comment on the $K_L{K}_S$ system. In addition, we consider the mixing of boson coherent states, which may have future applications in the construction of meson lasers.

12 pages, 3 figures; Eqs.(10-12) corrected, leading to new physical insights; added paragraph under Eq.(24) explaining physical interpretation of mixing in terms of vacuum condensation; references added and minor typo corrected

References in corpus (2)

• Mixing angles and electromagnetic properties of ground state pseudoscalar and vector meson nonets in the light-cone quark model
• Note on the field theory of neutrino mixing

Cited by in corpus (24)

• Oscillations of neutrinos and mesons in quantum field theory
• 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
• The General Theory of Quantum Field Mixing
• Lepton charge and neutrino mixing in pion decay processes
• Phenomenology of flavor oscillations with non-perturbative effects from quantum field theory
• Neutrino oscillations from relativistic flavor currents
• Currents and charges for mixed fields
• Nonperturbative Vacuum Effect in the Quantum Field Theory of Meson Mixing
• Neutrino mixing and Lorentz invariance
• Mixing and oscillations of neutral particles in Quantum Field Theory
• On flavor conservation in weak interaction decays involving mixed neutrinos
• Non-abelian gauge structure in neutrino mixing
• On the role of the rotations and Bogoliubov transformations in neutrino mixing
• Some non-trivial aspects of Poincaré and CPT invariance of flavor vacuum
• Non equilibrium dynamics of mixing, oscillations and equilibration: a model study
• Time-to-space conversion in quantum field theory of flavor mixing
• Neutrino production states in oscillation phenomena - are they pure or mixed?
• Flavor vacuum entanglement in boson mixing
• Pseudoscalar Meson Mixing in Effective Field Theory
• Effects of medium-induced $\rho -\omega$ meson mixing on the equation of state in isospin-asymmetric nuclear matter
• Flavor Oscillation from the Two-Point Function
• About neutral kaons and similar systems; from quantum field theory to effective mass matrices