Quantum Field Theory of Fermion Mixing

Blasone, Massimo; Vitiello, Giuseppe

doi:10.1006/aphy.1995.1115

Cited by 208 publications

(236 citation statements)

References 4 publications

Supporting

Mentioning

231

Contrasting

Order By: Relevance

“…In Ref. [8], it has been shown that the action of G θ (t) on the vacuum state |0 1,2 results in a new vector (flavor vacuum) |0(t) e,µ ≡ G −1 θ (t)|0 1,2 , orthogonal to |0 1,2 in the infinite volume limit. Following Ref.…”

Section: Then the Charge Operatorsmentioning

confidence: 99%

“…In this framework, there has been recently a remarkable progress in the study of the problem of field mixing in Quantum Field Theory (QFT) [8,9,10,11,12,13,14,15,16,17,18,19,20]. It is important to remark that, in spite of the fact of being usually treated in Quantum Mechanics (QM), the mixing between states of different masses is not even allowed in a non-relativistic theory due to the Bargmann superselection rules [21].…”

Section: Introductionmentioning

confidence: 99%

“…As first shown in Ref. [8], the difficulty lies in the fact that the Hilbert spaces for particles with definite flavor and those with definite mass are actually orthogonal in the infinite volume limit. This result has been subsequently generalized for any number of generations and for different types (fermionic or bosonic) of fields [10,16,17].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Neutrino oscillations from relativistic flavor currents

2003

View full text Add to dashboard Cite

By resorting to recent results on the relativistic currents for mixed (flavor) fields, we calculate a space-time dependent neutrino oscillation formula in Quantum Field Theory. Our formulation provides an alternative to existing approaches for the derivation of space dependent oscillation formulas and it also accounts for the corrections due to the non-trivial nature of the flavor vacuum. By exploring different limits of our formula, we recover already known results. We study in detail the case of one-dimensional propagation with gaussian wave-packets both in the relativistic and in the non-relativistic regions: in the last case, numerical evaluations of our result show significant deviations from the standard formula.

show abstract

Section: Then the Charge Operatorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Neutrino oscillations from relativistic flavor currents

2003

View full text Add to dashboard Cite

show abstract

“…[7] ). Besides, there is a chance that future more precise neutrino oscillation experiments will open a window for New Physics (NP) and the knowledge of the initial and final neutrino states could be important.…”

Section: Introductionmentioning

confidence: 99%

“…Because of that, any attempt to treat a flavour neutrino as one object in Fock space (see e.g. [7]), even if mathematically consistent, creates a problem with the description of the real production process. Neutrino states are always mixed if the production mechanism is more complicated in comparison with the SM left-handed interaction Eq.…”

Section: Introductionmentioning

confidence: 99%

Neutrino production states in oscillation phenomena—are they pure or mixed?

Ochman¹,

Szafron²,

Zrałek³

2008

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

General quantum mechanical states of neutrinos produced by mechanisms outside the Standard Model are discussed. The neutrino state is described by the Maki-Nakagawa-Sakata-Pontecorvo unitary mixing matrix only in the case of relativistic neutrinos and Standard Model left-handed charge current interaction. The problem of Wigner spin rotation caused by Lorentz transformation from the rest production frame to the laboratory frame is considered. Moreover, the mixture of the neutrino states as a function of their energy and parameters from the extension of the Standard Model are investigated. Two sources of mixture, the appearance of subdominant helicity states, and mass mixing with several different mixing matrices are studied.

show abstract

Flavour mixing in an expanding universe

Tarantino¹

2010

Ann. Phys.

View full text Add to dashboard Cite

Motivated by a microscopic model of string-inspired foam, in which foamy structures are provided by brany point-like defects (D-particles) in space-time, we discuss flavour mixing in curved space-time for spin-0 and spin-1/2 particles. This can be view as the low energy limit of flavour non-preserving interactions of stringy matter excitations with the defects, and non-trivial space-time background induced by quantum fluctuations of the D-particles. We show, at late epochs of the Universe, that both the fermionic and the bosonic vacuum condensate behaves as a fluid with negative pressure and positive energy; however the equation of state has w fermion > −1/3 and therefore the contribution of fermion-fluid flavour vacuum alone could not yield accelerating Universes. On the other hand, for the boson fluid the equation of state is, for late eras, close to w boson → −1, and hence overall the D-foam universe appears accelerating at late eras. Flavour mixing is an interesting topic in quantum field theory, both for phenomenological (quarks, mesons, neutrinos present the mixing) and theoretical reasons: flavour mixing requires massive neutrinos, whereas in the Standard Model they are treated as massless particles. Massive neutrino mixing can thus provide a sight on the physics beyond the Standard Model.During recent years it has been suggested that the neutrino physics might play an important rôle in the understanding of the nowadays accelerated expansion of the universe [3]; in particular, it has been motivated that a mathematically correct treatment of the flavour mixing in a free theory requires the introduction of a Fock space different from the one usually considered in QFT (the irreducible representation of the Poincaré group, where the states have well defined mass). According with [4], introducing the mixing for two free Dirac spinorsà la Pontecorvo:where ψ ι (x) (with ι = e, μ) are the flavoured fields, and ψ i (x) (with i = 1, 2) are the fields with well defined mass (m 1 and m 2 , respectively), the Fock space for the flavour states can be built using the ladder operators defined byThe flavour vacuum state is therefore defined as

show abstract

Quantum Field Theory of Fermion Mixing

Cited by 208 publications

References 4 publications

Neutrino oscillations from relativistic flavor currents

Neutrino oscillations from relativistic flavor currents

Neutrino production states in oscillation phenomena—are they pure or mixed?

Flavour mixing in an expanding universe

Contact Info

Product

Resources

About