Physics of Neutrinos

Fukugita, M.; Yanagida, Tsutomu T.

doi:10.1007/978-4-431-67029-2_1

Cited by 151 publications

(260 citation statements)

References 582 publications

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“…However, since the experimentally established phenomenon of neutrino oscillations requires non-zero neutrino masses, theory of massive neutrinos, which can be based on the Dirac equation, is necessary [18][19][20][21]. Alternatively, a modification of the Dirac or Weyl equation, called the Majorana equation, is thought to apply to neutrinos.…”

Section: Subsolutions Of the Dirac Equation And Supersymmetrymentioning

confidence: 99%

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Duffin–Kemmer–Petiau and Dirac Equations—A Supersymmetric Connection

Okniński¹

2012

Symmetry

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Abstract:In the present paper we study subsolutions of the Dirac and Duffin-Kemmer-Petiau equations in the interacting case. It is shown that the Dirac equation in longitudinal external fields can be split into two covariant subequations (Dirac equations with built-in projection operators). Moreover, it is demonstrated that the Duffin-Kemmer-Petiau equations in crossed fields can be split into two 3 × 3 subequations. We show that all the subequations can be obtained via minimal coupling from the same 3 × 3 subequations which are thus a supersymmetric link between fermionic and bosonic degrees of freedom.

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Section: Subsolutions Of the Dirac Equation And Supersymmetrymentioning

confidence: 99%

“…The problem whether neutrinos are described by the Dirac equation or the Majorana equations is still open [18][19][20][21].…”

Section: Subsolutions Of the Dirac Equation And Supersymmetrymentioning

confidence: 99%

Duffin–Kemmer–Petiau and Dirac Equations—A Supersymmetric Connection

Okniński¹

2012

Symmetry

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“…Neutrinos are the bridge between particle physics, astrophysics, cosmology and nuclear physics [1,2,3,4,5,6], and after almost four decades of the prescient suggestion that neutrinos may oscillate [7,8], a wealth of experimental data confirms that neutrinos are massive and that different flavors mix and oscillate [9,10,11,12,13]. Neutrino masses and mixing decidedly points to new physics beyond the standard model and profoundly impacts on the physics, astrophysics and cosmology of neutrinos.…”

Section: Introductionmentioning

confidence: 99%

“…The dynamics of neutrino oscillations was originally studied in terms of Bloch-type equations akin to the equation of motion for a spin in a magnetic field [1,2,3,16,22] which are generally valid for single particle descriptions in the relativistic limit. For the case of single particle states this equation of motion for neutrino oscillations was derived from the underlying field theory in the relativistic limit [5,23].…”

Section: Introductionmentioning

confidence: 99%

Oscillations and evolution of a hot and dense gas of flavor neutrinos: A quantum field theory study

Boyanovsky

2004

Phys. Rev. D

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We study the time evolution of the distribution functions for hot and or degenerate gases of two flavors of Dirac neutrinos as a result of flavor mixing and dephasing. This is achieved by obtaining the time evolution of the flavor density matrix directly from quantum field theory at finite temperature and density. The time evolution features a rich hierarchy of scales which are widely separated in the nearly degenerate or relativistic cases and originate in interference phenomena between particle and antiparticle states. In the degenerate case the flavor asymmetry ∆N (t) relaxes to the asymptotic limit ∆N (∞) = ∆N (0) cos 2 (2θ) via dephasing resulting from the oscillations between flavor modes that are not Pauli blocked, with a power law 1/t for t > ts ≈ 2kF /∆M 2 . kF is the largest of the Fermi momenta. The distribution function for flavor neutrinos and antineutrinos as well as off-diagonal densities are obtained. Flavor particle-antiparticle pairs are produced by mixing and oscillations with typical momentum k ∼M the average mass of the neutrinos. An effective field theory description emerges on long time scales in which the Heisenberg operators obey a Bloch-type equation of motion valid in the relativistic and nearly degenerate cases. We find the non-equilibrium propagators and correlation functions in this effective theory and discuss its regime of validity as well as the potential corrections.

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“…With the masses non-diagonal in the neutrino flavor space, the neutrino oscillation occurs among different flavors of neutrinos(e.g. [8] and references therein). It is thus interesting from an academic point of view how this oscillation phenomenon is described by the generalized Boltzmann equations [9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Boltzmann equations for neutrinos with flavor mixings

Yamada

2000

Phys. Rev. D

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With a view of applications to the simulations of supernova explosion and proto neutron star cooling, we derive the Boltzmann equations for the neutrino transport with the flavor mixing based on the real time formalism of the nonequilibrium field theory and the gradient expansion of the Green function. The relativistic kinematics is properly taken into account. The advection terms are derived in the mean field approximation for the neutrino self-energy whiles the collision terms are obtained in the Born approximation. The resulting equations take the familiar form of the Boltzmann equation with corrections due to the mixing both in the advection part and in the collision part. These corrections are essentially the same as those derived by Sirera et al. for the advection terms and those by Raffelt et al. for the collision terms, respectively, though the formalism employed here is different from theirs. The derived equations will be easily implemented in numerical codes employed in the simulations of supernova explosions and proto neutron star cooling.14.60.Pq 11.10.Wx 97.60.Bw 97.60.Jd

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Physics of Neutrinos

Cited by 151 publications

References 582 publications

Duffin–Kemmer–Petiau and Dirac Equations—A Supersymmetric Connection

Duffin–Kemmer–Petiau and Dirac Equations—A Supersymmetric Connection

Oscillations and evolution of a hot and dense gas of flavor neutrinos: A quantum field theory study

Boltzmann equations for neutrinos with flavor mixings

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