Dynamical generation of field mixing via flavor vacuum condensate

Abstract

In this paper we study dynamical chiral symmetry breaking of a generic quantum field theoretical model with global chiral flavor symmetry. By purely algebraic means we analyze the vacuum structure for different symmetry breaking schemes and show explicitly how the ensuing non-trivial flavor vacuum condensate characterizes the phenomenon of field mixing. In addition, with the help of Ward-Takahashi identities we demonstrate the emergence of a correct number of Nambu-Goldstone modes in the physical spectrum.

References in corpus (8)

• Entanglement in neutrino oscillations
• Multipartite entangled states in particle mixing
• How the axial anomaly controls flavor mixing among mesons
• Towards a microscopic construction of flavour vacua from a space-time foam model
• Flavour Condensates in Brane Models and Dark Energy
• Casimir effect for mixed fields
• Flavor Energy uncertainty relations for neutrino oscillations in quantum field theory
• On the role of the rotations and Bogoliubov transformations in neutrino mixing

Cited by in corpus (11)

• Neutrino oscillations in extended theories of gravity
• Time-energy uncertainty relation for neutrino oscillations in curved spacetime
• Casimir effect for mixed fields
• Some non-trivial aspects of Poincaré and CPT invariance of flavor vacuum
• Non-relativistic neutrinos and the weak equivalence principle apparent violation
• Interactions and oscillations of coherent flavor eigenstates in beta decay
• Infrared behavior of Weyl Gravity: Functional Renormalization Group approach
• Flavor vacuum entanglement in boson mixing
• On the flavor/mass dichotomy for mixed neutrinos: a phenomenologically motivated analysis based on lepton charge conservation in neutron decay
• Quantum black holes as classical space factories
• Neutrino Oscillations in Finite Time Path Out-of-Equilibrium Thermal Field Theory