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Related papers: The General Theory of Quantum Field Mixing

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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…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. Blasone , G. Vitiello

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…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Binger , Chueng-Ryong Ji

The results obtained on the particle mixing in Quantum Field Theory are reviewed. The Quantum Field Theoretical formulation of fermion and boson mixed fields is analyzed in detail and new oscillation formulas exhibiting corrections with…

High Energy Physics - Theory · Physics 2007-05-23 Antonio Capolupo

We show that the generator of field mixing transformations in Quantum Field Theory induces a non trivial structure in the vacuum which turns out to be a coherent state, both for bosons and for fermions, although with a different condensate…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Alfinito , M. Blasone , A. Iorio , G. Vitiello

Field mixing transformations are studied in quantum field theory and the generator of the transformations is found to induce an SU(2) coherent structure in the vacuum state, both for bosons and for fermions. The Fock space for mixed fields…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Blasone , P. A. Henning , G. Vitiello

We report on recent results on the Quantum Field Theory of mixed particles. The quantization procedure is discussed in detail, both for fermions and for bosons and the unitary inequivalence of the flavor and mass representations is proved.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Massimo Blasone , Giuseppe Vitiello

We develop the quantum field theory of fermion mixing in curved spacetime and discuss the role of unitarily inequivalent representations in the particle interpretation of the theory. We derive general oscillation formulae and apply them to…

High Energy Physics - Theory · Physics 2024-03-06 Antonio Capolupo , Gaetano Lambiase , Aniello Quaranta

Replacing the perturbative vacuum by the nonperturbative vacuum, we extend a recent development of a quantum field theoretic framework for scalar and pseudoscalar meson mixing. The unitary inequivalence of the Fock space of base (unmixed)…

High Energy Physics - Phenomenology · Physics 2016-09-06 Chueng-Ryong Ji , Yuriy Mishchenko

We consider the quantum field theoretical formulation of boson field mixing and obtain the exact oscillation formula. This formula does not depend on arbitrary mass parameters. We show that the space for the mixed field states is unitarily…

High Energy Physics - Phenomenology · Physics 2009-11-07 Massimo Blasone , Antonio Capolupo , Oreste Romei , Giuseppe Vitiello

We report on recent results showing that a rich non-perturbative vacuum structure is associated with flavor mixing in Quantum Field Theory. We treat explicitly the case of mixing among three generations of Dirac fermions. Exact oscillation…

High Energy Physics - Theory · Physics 2017-08-23 M. Blasone , A. Capolupo , G. Vitiello

Quantum field theoretic treatments of fermion oscillations are typically restricted to calculations in Fock space. In this letter we extend the oscillation formulae to include more general quasi-free states, and also consider the case when…

High Energy Physics - Theory · Physics 2009-11-07 K. C. Hannabuss , D. C. Latimer

We study the mixing of neutral particles in Quantum Field Theory: neutral boson field and Majorana field are treated in the case of mixing among two generations. We derive the orthogonality of flavor and mass representations and show how to…

High Energy Physics - Phenomenology · Physics 2009-11-10 Massimo Blasone , Jonathan S. Palmer

We study the mixing of different kind of fields (scalar in 0+1D, scalar in 3+1D, fermion in 3+1D) treating the mixing term as an interaction. To this aim, we employ the usual perturbative series in the interaction picture. We find that…

High Energy Physics - Phenomenology · Physics 2023-07-31 Massimo Blasone , Francesco Giacosa , Luca Smaldone , Giorgio Torrieri

We analyze phenomenological aspects of the quantum field theoretical formulation of meson mixing and obtain the exact oscillation formula in the presence of the decay. This formula is different from quantum mechanical formula by additional…

High Energy Physics - Phenomenology · Physics 2014-11-17 Antonio Capolupo , Chueng-Ryong Ji , Yuriy Mishchenko , Giuseppe Vitiello

We review some of the main results of the quantum field theoretical approach to neutrino mixing and oscillations. We show that the quantum field theoretical framework, where flavor vacuum is defined, permits to give a precise definition of…

High Energy Physics - Theory · Physics 2021-11-24 Luca Smaldone , Giuseppe Vitiello

We develop a quantum field theory of boson mixing in curved space. We derive new general oscillation probabilities and prove that the formalism correctly reproduces the flat space limit. We explicitly compute the oscillation formulae for…

High Energy Physics - Theory · Physics 2022-08-31 Antonio Capolupo , Aniello Quaranta , Pia Antonella Setaro

In this work, we present a comprehensive and pedagogical review of two quantum field theoretical approaches to neutrino flavor mixing and oscillations: the non-perturbative flavor Fock space formalism and the perturbative interaction…

High Energy Physics - Phenomenology · Physics 2025-08-27 Massimo Blasone , Luca Smaldone

Mixing transformations in quantum field theory are non-trivial, since they are intimately related to the unitary inequivalence between Fock spaces for fields with definite mass and fields with definite flavor. Considering the superposition…

High Energy Physics - Theory · Physics 2021-03-31 Massimo Blasone , Fabrizio Illuminati , Giuseppe Gaetano Luciano , Luciano Petruzziello

We report about recent results on the Quantum Field Theory of neutrino mixing and oscillations. A discussion of the relevant observables for flavor fields is given, leading to oscillation formulas which exhibit corrections with respect to…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Blasone , P. Jizba , G. Vitiello

We report on recent results showing that neutrino mixing may lead to a non-zero contribution to the cosmological constant. This contribution is of a completely different nature with respect to the usual one by a massive spinor field. We…

High Energy Physics - Theory · Physics 2015-06-26 Massimo Blasone , Antonio Capolupo , Salvatore Capozziello , Sante Carloni , Giuseppe Vitiello
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