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Information-theoretic arguments are used to obtain a link between the accurate linearity of Schrodinger's equation and Lorentz invariance: A possible violation of the latter at short distances would imply the appearance of nonlinear…

Quantum Physics · Physics 2015-06-26 Rajesh R. Parwani

We add non-linear and state-dependent terms to quantum field theory. We show that the resulting low-energy theory, non-linear quantum mechanics, is causal, preserves probability and permits a consistent description of the process of…

High Energy Physics - Theory · Physics 2022-03-10 David E. Kaplan , Surjeet Rajendran

I argue that the linearity of quantum mechanics is an emergent feature at the Planck scale, along with the manifold structure of space-time. In this regime the usual causality violation objections to nonlinearity do not apply, and nonlinear…

Quantum Physics · Physics 2009-11-10 George Svetlichny

This work explores the possibility of resorting to neutrino phenomenology to detect evidence of new physics, caused by the residual signals of the supposed quantum structure of spacetime. In particular, this work investigates the effects on…

High Energy Physics - Phenomenology · Physics 2021-10-19 Marco Danilo Claudio Torri

We discuss neutrino oscillations in the framework of the quantum field theory without introducing the concept of neutrino weak eigenstates. The external particles are described by wave packets and the different mass eigenstate neutrinos…

High Energy Physics - Phenomenology · Physics 2009-10-22 C. Giunti , C. W. Kim , J. A. Lee

Neutrino oscillations are treated from the point of view of relativistic first quantized theories and compared to second quantized treatments. Within first quantized theories, general oscillation probabilities can be found for Dirac…

High Energy Physics - Phenomenology · Physics 2009-11-11 C. C. Nishi

Sensitive tests of Lorentz invariance can emerge from the study of neutrino oscillations, particularly for atmospheric neutrinos where the effect is conveniently near-maximal and has been observed over a wide range of energies. We assume…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sheldon Lee Glashow

Many facets of nonclassicality are probed in neutrino system in the context of three flavour neutrino oscillations. The analysis is carried out for parameters relevant to two ongoing experiments NO$\nu$A and T2K, and also for the upcoming…

High Energy Physics - Phenomenology · Physics 2018-11-16 Khushboo Dixit , Javid Naikoo , Subhashish Banerjee , Ashutosh Kumar Alok

We present a new formulation for deriving neutrino oscillation probabilities relativistically, based not on the Schr\"odinger equation but on the Dirac equation. In the context of two generations, we calculate the oscillation probabilities…

High Energy Physics - Phenomenology · Physics 2024-11-14 Keiichi Kimura , Akira Takamura

Deviations from unitarity of the CKM matrix in the quark sector are considered excellent windows to probe physics beyond the Standard Model. In its leptonic counterpart, the PMNS matrix, these searches are particularly motivated, as the new…

We present an expression for the transition probability between Dirac or Majorana neutrino flavors obtained from first principles within quantum field theory. Our derivation is based on a standard quantum mechanical setup and includes the…

High Energy Physics - Phenomenology · Physics 2008-10-23 Luca Visinelli , Paolo Gondolo

Despite the theory of neutrino oscillations being rather old, some of its basic issues are still being debated in the literature. We discuss, in the framework of the wave packet approach, a number of such issues, including the relevance of…

High Energy Physics - Phenomenology · Physics 2010-02-10 Evgeny Kh. Akhmedov , Alexei Yu. Smirnov

Neutrino oscillation experiments at accelerator energies aim to establish charge-parity violation in the neutrino sector by measuring the energy-dependent rate of $\nu_e$ appearance and $\nu_\mu$ disappearance in a $\nu_\mu$ beam. These…

High Energy Physics - Phenomenology · Physics 2022-10-12 Oleksandr Tomalak , Qing Chen , Richard J. Hill , Kevin S. McFarland

Lorentz invariance is a well known fundamental concept of special relativity but its violation is predicted by some variations of quantum gravity, string theory, and some alternatives to general relativity. We study neutrino oscillation at…

High Energy Physics - Phenomenology · Physics 2016-12-30 S. A. Alavi , M. Dehghani Madise

Starting from a generic generally covariant classical theory we introduce the logarithmic correction to the quantum wave equation. We demonstrate the emergence of the evolution time from the group of automorphisms of the von Neumann algebra…

High Energy Physics - Theory · Physics 2010-11-26 Konstantin G. Zloshchastiev

A testing of quantum mechanics in nuetrino oscillation is presented. The quantum mechanics violation motivated by arguements of quantum gravity is investigated in neutrino system. The formula of density matrix and oscillation probability of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Feng-Cai Ma , Hai-Ming Hu

We study neutrino oscillations in space within a realistic model in which both the source and the target are considered to be stationary having Gaussian-form localizations. The model admits an exact analytic solution in field theory which…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ara Ioannisian , Apostolos Pilaftsis

Future neutrino-oscillation experiments are expected to bring definite answers to the questions of neutrino-mass hierarchy and violation of charge-parity symmetry in the lepton sector. To realize this ambitious program it is necessary to…

High Energy Physics - Phenomenology · Physics 2017-05-15 Artur M Ankowski , Camillo Mariani

Neutrino oscillations change when in media in comparison to vacuum oscillations due to the scattering of neutrinos on matter constituents, electrons particularly. This can be easily described by introducing new effective matter mixing…

High Energy Physics - Phenomenology · Physics 2018-10-02 Tomas Nosek

In this work, we emphasize that it is necessary to take into account one-loop corrections of $2.0\%$ to the neutrino matter potential in the precision measurements of neutrino oscillation parameters and in the experimental searches for new…

High Energy Physics - Phenomenology · Physics 2025-12-18 Jihong Huang , Tommy Ohlsson , Sampsa Vihonen , Shun Zhou
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