2003
DOI: 10.1088/0264-9381/20/19/306
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Spin-flavour conversion of neutrinos in loop quantum gravity

Abstract: Loop quantum gravity theory incorporates a new scale length L which induces a Lorentz invariance breakdown. This scale can be either an universal constant or can be fixed by the momentum of particles (L ∼ p −1 ). Effects of the scale parameter L and helicity terms occurring in the dispersion relation of fermions are reviewed in the framework of spin-flip conversion of neutrino flavors.

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Cited by 10 publications
(5 citation statements)
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“…[209] (see the beginning of Subsection F). On the basis of the above formalism with working set of parametrization constants and by comparing theoretical results with NO data and with the spectrum of cosmic rays of extragalactic origin, the following problems were also considered: the energy dependence of NO length [269], constraints on the intermediate scale (L 10 −18 eV −1 [269,270]) and the working constant [270], and a novel mechanism [271] for generating the primary cosmological asymmetry of the Universe originating from the density difference of neutrinos and antineutrinos caused by the above distinction in signs for the linear-in-momentum contribution to function F in Eq. (11).…”
Section: F Violation Of Lorentz Invariance and Equivalence Principle ...mentioning
confidence: 99%
“…[209] (see the beginning of Subsection F). On the basis of the above formalism with working set of parametrization constants and by comparing theoretical results with NO data and with the spectrum of cosmic rays of extragalactic origin, the following problems were also considered: the energy dependence of NO length [269], constraints on the intermediate scale (L 10 −18 eV −1 [269,270]) and the working constant [270], and a novel mechanism [271] for generating the primary cosmological asymmetry of the Universe originating from the density difference of neutrinos and antineutrinos caused by the above distinction in signs for the linear-in-momentum contribution to function F in Eq. (11).…”
Section: F Violation Of Lorentz Invariance and Equivalence Principle ...mentioning
confidence: 99%
“…An interesting consequence of MDR in LV quantum gravity theories is associated with modifications to the well-known phenomenon of spin-flavour conversion in ν interactions [69]. To be specific, we shall consider an example of a MDR for ν provided by a Loop Gravity approach to quantum gravity.…”
Section: Lorentz Non Invariance Mdr and ν Spin-flavor Conversionmentioning
confidence: 99%
“…It has been noted in [69] that such a modification in the dispersion relation will affect the form of the spin-flavour conversion mechanism. Indeed, it is well known through the Mikheyev-Smirnov-Wolfenstein (MSW) effect [70] that Weak interaction Effects of ν propagating in a medium result in an energy shift √ 2G F (2n e − n n ), where n e (n n )'s denote electron (neutron) densities.…”
Section: Lorentz Non Invariance Mdr and ν Spin-flavor Conversionmentioning
confidence: 99%
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“…To obtain these bounds the author of [69] made the following physically relevant assumptions: (a) Reasonable profiles for solar n e ∼ n 0 e −10.5r/R⊙ , n 0 = 85N A cm . To obtain bounds on κ we need to distinguish two cases: (I) L=universal constant: In this case, we already know from photon dispersion tests on GRB and (AGN) [11,65] that L ∼ 10 −18 eV −1 .…”
Section: Lorentz Non Invariance Mdr and ν Spin-flavor Conversionmentioning
confidence: 99%