Quantum field theory of boson mixing

Blasone, Massimo; Capolupo, Antonio; O.Romei,; Vitiello, Giuseppe

doi:10.1103/physrevd.63.125015

Cited by 116 publications

(169 citation statements)

References 32 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: 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%

“…An analysis of the currents associated to mixing for the case of three flavor neutrino mixing with CP violation and for boson mixing can be found in Refs. [10,11].…”

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: 99%

Section: Introductionmentioning

confidence: 99%

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Neutrino oscillations from relativistic flavor currents

2003

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“…The matter is far from pedantic and corrections to the usual formula for neutrino oscillations arise [21]. Flavor states constructed in this way are eigenstates of the flavor charge and the momentum operators but are not eigenstates of the Hamiltonian [21][22][23][24][25][26]. Nonetheless one can compute the expectation value of the Hamiltonian H on the flavor states and define from it dispersion relations.…”

Section: Introductionmentioning

confidence: 99%

Neutrino Oscillations and Superluminal Propagation, in OPERA or Otherwise

Magueijo¹

2013

JMP

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We digress on the implications of recent claims of superluminal neutrino propagation. No matter how we turn it around such behaviour is very odd and sits uncomfortably even within "far-fetched" theories. In the context of non-linear realizations of the Lorentz group (where superluminal misbehaviour is run of the mill) one has to accept rather contrived constructions to predict superluminal properties for the neutrino. The simplest explanation is to require that at least one of the mass states be tachyonic. We show that due to neutrino mixing, the flavor energy does not suffer from the usual runaway pathologies of tachyons. For non-tachyonic mass states the theories become more speculative. A neutrino specific dispersion relation is exhibited, rendering the amplitude of the effect reasonable for a standard Planck energy. This uses the fact that the beam energy is close to the geometrical average of the neutrino and Planck mass; or, seen in another way, the beam energy is unexceptional but its gamma factor is very large. A dispersion relation crossing over from a low energy bradyonic branch to a high energy tachyonic one is also considered. We comment on consistency with SN 1987A within these models.

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“…In this paper, we report the recent results [40] showing that the vacuum condensate structure of many phenomena, such as particle mixing and fields in curved space [41][42][43][44][45][46][47][48][49][50][51][52][53][54], generates non trivial contributions to the energy of the universe [40], which can represent new components of dark energy and dark matter. In particular, dark matter components can be provided by the thermal vacuum of the hot plasma present at the center of a galaxy cluster, by the vacuum of fields in curved space [55] and by the flavor neutrino vacuum.…”

Section: Introductionmentioning

confidence: 99%

Cosmological Effects of Quantum Vacuum Condensates

Capolupo

2017

Galaxies

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Abstract:In quantum field theory, many phenomena are characterized by a condensed structure of their vacua. Such a structure is responsible of a non trivial vacuum energy. Here we analyze disparate systems and we show that the thermal vacuum state for hot plasmas, the vacuum for boson field in curved space and the vacuum for mixed neutrinos have the state equation of dark matter, w = 0, and values of the energy density which are in agreement with the one estimated for dark matter. Moreover, we show that the vacuum of axions mixed with photons has the state equation of the cosmological constant w = −1 and a value of the energy density compatible with the one of dark energy.

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Quantum field theory of boson mixing

Cited by 116 publications

References 32 publications

Neutrino oscillations from relativistic flavor currents

Neutrino oscillations from relativistic flavor currents

Neutrino Oscillations and Superluminal Propagation, in OPERA or Otherwise

Cosmological Effects of Quantum Vacuum Condensates

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