QUANTUM FIELD-THEORETICAL DESCRIPTION OF NEUTRINO OSCILLATIONS IN TERMS OF PLANE WAVES

2021 ◽  
Author(s):  
Vadim Egorov ◽  
Igor Volobuev
Keyword(s):  
Neutrino Oscillations ◽  
Plane Waves ◽  
Theoretical Description ◽  
Quantum Field

scholarly journals Quantum field-theoretical descriprion of neutrino oscillations in T2K experiment

2019 ◽  
Vol 222 ◽  
pp. 03002
Author(s):  
Vadim Egorov ◽  
Timofei Rusalev
Keyword(s):  
Neutrino Oscillations ◽  
Plane Waves ◽  
Quantum Field ◽  
Momentum Representation ◽  
Final Particle ◽  
Detector Position ◽  
Electron Production ◽  
Feynman Rules ◽  
Muon Production ◽  
Production Probability

We consider neutrino oscillations in the T2K experiment using a new quantum field-theoretical approach to the description of processes passing at finite space-time intervals. It is based on the Feynman diagram technique in the coordinate representation, supplemented by modified rules of passing to the momentum representation. Effectively this leads to the Feynman propagators in the momentum representation being modified, while the rest of the Feynman rules remain unchanged. The approach does not make use ofwave packets, the initial and final particle states are described by plane waves, which essentially simplifies the calculations. The oscillation fading out due to momentum distribution of the initial particles is taken into account. The obtained results reproduce the predictions of the standard description and confirm that the far detector position corresponds to the first minimum for muon production probability and the first maximum for electron production probability.

scholarly journals Covariant asymmetric wave packet for a field-theoretical description of neutrino oscillations

2015 ◽  
Vol 30 (24) ◽  
pp. 1550110 ◽  
Author(s):  
Vadim A. Naumov ◽  
Dmitry S. Shkirmanov
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Wave Packet ◽  
Neutrino Oscillations ◽  
Theoretical Description ◽  
Quantum Field ◽  
Oscillation Phenomenon ◽  
Flavor Oscillation ◽  
Gaussian Packet ◽  
Asymmetric Wave

We consider a class of models for the relativistic covariant wave packets (WPs) which can be used as asymptotically free in and out states in the quantum field theoretical formalisms for description of the neutrino flavor oscillation phenomenon. We demonstrate that the new “asymmetric” wave packet (AWP) is an appropriate alternative to the more conventional “symmetric” WPs, like the so-called relativistic Gaussian packet (RGP) widely used in the quantum field theory (QFT)-based approaches to neutrino oscillations. We show that RGP is not a particular case of AWP, although many properties of these models are almost identical in the quasistable regime. We discuss some features of AWP distinguishing it from RGP.

scholarly journals Quantum field-theoretical description of neutrino and neutral kaon oscillations

2018 ◽  
Vol 33 (13) ◽  
pp. 1850075 ◽  
Author(s):  
Igor P. Volobuev
Keyword(s):  
Plane Waves ◽  
Neutral Kaon ◽  
Theoretical Description ◽  
Matrix Formalism ◽  
Quantum Field ◽  
Time Intervals ◽  
Standard Quantum ◽  
Mass Eigenstates ◽  
Quantum Mechanical Description ◽  
S Matrix

It is shown that the neutrino and neutral kaon oscillation processes can be consistently described in quantum field theory using only plane waves of the mass eigenstates of neutrinos and neutral kaons. To this end, the standard perturbative S-matrix formalism is modified so that it can be used for calculating the amplitudes of the processes passing at finite distances and finite time intervals. The distance-dependent and time-dependent parts of the amplitudes of the neutrino and neutral kaon oscillation processes are calculated and the results turn out to be in accordance with those of the standard quantum mechanical description of these processes based on the notion of neutrino flavor states and neutral kaon states with definite strangeness. However, the physical picture of the phenomena changes radically: now, there are no oscillations of flavor or definite strangeness states, but, instead of it, there is interference of amplitudes due to different virtual mass eigenstates.

scholarly journals Entanglement in a QFT Model of Neutrino Oscillations

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
M. Blasone ◽  
F. Dell’Anno ◽  
S. De Siena ◽  
F. Illuminati
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Information Theory ◽  
Quantum Information ◽  
Neutrino Oscillations ◽  
Quantum Information Theory ◽  
Entanglement Measure ◽  
Quantum Field ◽  
Flavor Oscillations ◽  
Particle Mixing

Tools of quantum information theory can be exploited to provide a convenient description of the phenomena of particle mixing and flavor oscillations in terms of entanglement, a fundamental quantum resource. We extend such a picture to the domain of quantum field theory where, due to the nontrivial nature of flavor neutrino states, the presence of antiparticles provides additional contributions to flavor entanglement. We use a suitable entanglement measure, the concurrence, that allows extracting the two-mode (flavor) entanglement from the full multimode, multiparticle flavor neutrino states.

scholarly journals Most general propagator in quantum field theory

2021 ◽  
Vol 36 (19) ◽  
pp. 2150124
Author(s):  
Luca Fabbri ◽  
Rodolfo José Bueno Rogerio
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Plane Waves ◽  
Polar Form ◽  
Quantum Field

One of the most important mathematical tools necessary for Quantum Field Theory calculations is the field propagator. Applications are always done in terms of plane waves and although this has furnished many magnificent results, one may still be allowed to wonder what is the form of the most general propagator that can be written. In this paper, by exploiting what is called polar form, we find the most general propagator in the case of spinors, whether regular or singular, and we give a general discussion in the case of vectors.

On Longitudinal Plane Waves of Elastic-Plastic Strain in Solids

1952 ◽  
Vol 19 (4) ◽  
pp. 521-525
Author(s):  
D. S. Wood
Keyword(s):  
Mechanical Properties ◽  
Aluminum Alloy ◽  
Elastic Strain ◽  
Pressure Pulse ◽  
Plane Waves ◽  
Theoretical Description ◽  
Temperature Changes ◽  
Longitudinal Plane ◽  
Lateral Extent ◽  
The Waves

Abstract A theoretical description is given for the propagation of longitudinal plane waves of large lateral extent in solids, for waves of plastic as well as elastic strain. The importance of the hydrostatic compressibility in determining the nature of the waves is brought out. The results are illustrated by a computation of the velocities of propagation of such waves in 24S-T aluminum alloy, and by a computation of the propagation of a pressure pulse of short duration through a flat plate. The later results illustrate the attenuation and change in shape of the pressure pulse during its propagation. The effects of the pressure dependence of the compressibility, the temperature changes accompanying compression, and the time and rate dependence of the mechanical properties, upon the propagation of such waves are discussed qualitatively.

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