The quantum field theory of fermion mixing

Hannabuss, K. C.; Latimer, David C.

doi:10.1088/0305-4470/33/7/307

Cited by 60 publications

(59 citation statements)

References 4 publications

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“…[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]. It has also emerged that the use of the correct Hilbert space (i.e.…”

Section: Introductionmentioning

confidence: 95%

“…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%

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Neutrino oscillations from relativistic flavor currents

2003

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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.

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Section: Introductionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Neutrino oscillations from relativistic flavor currents

2003

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“…In recent years, there has been much progress in the understanding of flavor mixing in Quantum Field Theory (QFT) [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. The original discovery of the unitary inequivalence of the mass and the flavor representations in QFT [1], has prompted further investigations on fermion mixing [2][3][4][5][6][7][8] as well as on boson mixing [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

“…The original discovery of the unitary inequivalence of the mass and the flavor representations in QFT [1], has prompted further investigations on fermion mixing [2][3][4][5][6][7][8] as well as on boson mixing [8][9][10][11][12][13]. It has emerged that the rich non-perturbative vacuum structure associated with field mixing leads to relevant modification of the flavor oscillation formulas, exhibiting new features with respect to the usual quantum-mechanical ones [18].…”

Section: Introductionmentioning

confidence: 99%

Quantum field theory of three flavor neutrino mixing and oscillations withCPviolation

2002

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We study in detail the Quantum Field Theory of mixing among three generations of Dirac fermions (neutrinos). We construct the Hilbert space for the flavor fields and determine the generators of the mixing transformations. By use of these generators, we recover all the known parameterizations of the three-flavor mixing matrix and we find a number of new ones. The algebra of the currents associated with the mixing transformations is shown to be a deformed su(3) algebra, when CP violating phases are present. We then derive the exact oscillation formulas, exhibiting new features with respect to the usual ones. CP and T violation are also discussed.

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“…In other words, the mass states and the flavor states cannot be connected by a unitary transformation due to the introduction of the mixing matrix only. A direct proof of this fact is given in [35]. Note that such a possibility was * Electronic address: lobanov@phys.msu.ru taken for granted in the phenomenological theory.…”

Section: Introductionmentioning

confidence: 91%

Particle Quantum States With Indefinite Mass and Neutrino Oscillations

Lobanov

2017

Particle Physics at the Year of Light

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The Hilbert spaces of particle states are constructed in such a way that the neutrinos are combined in a multiplet with its components being considered as different quantum states of a single particle. The same is done for the charged leptons and the down-and up-type quarks. In the theory based on the Lagrangian of the fermion sector of the Standard Model modified in accordance with this construction, the phenomenon of neutrino oscillations arises as a direct consequence of the general principles of quantum field theory. Using the example of the pion decay it is shown that the neutrino states produced in the decay process can be described by a superposition of states with different masses and identical canonical momenta with very high accuracy.

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The quantum field theory of fermion mixing

Cited by 60 publications

References 4 publications

Neutrino oscillations from relativistic flavor currents

Neutrino oscillations from relativistic flavor currents

Quantum field theory of three flavor neutrino mixing and oscillations withCPviolation

Particle Quantum States With Indefinite Mass and Neutrino Oscillations

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