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We examine the hypothesis that space-time is a product of a continuous four-dimensional manifold times a finite space. A new tensorial notation is developed to present the various constructs of noncommutative geometry. In particular, this…

高能物理 - 理论 · 物理学 2014-11-20 Ali H. Chamseddine , Alain Connes

We consider a geometric approach to field theory in which torsion is present in the matter field equations, and we develop the consequences of the torsion-spin coupling for a pair of single-handed spinors; we show these interactions to have…

高能物理 - 理论 · 物理学 2012-12-06 Luca Fabbri

Four-fermion interaction models are considered to be prototype models for dynamical symmetry breaking.The present review deals with recent developments in the studies of dynamical symmetry breaking in the four-fermion interaction models and…

高能物理 - 理论 · 物理学 2008-11-26 T. Inagaki , T. Muta , S. D. Odintsov

In this work we provide a possible geometrical interpretation of the spin of elementary particles. In particular, it is investigated how the wave equations of matter are altered by the addition of an antisymmetric contribution to the metric…

广义相对论与量子宇宙学 · 物理学 2014-06-23 Ginés R. Pérez Teruel

In this paper, we study the spin transitions of neutrinos caused by the interaction with a gravitational field. We consider a model with a scalar field (describing screening effects) conformally coupled to matter and neutrinos. The presence…

广义相对论与量子宇宙学 · 物理学 2021-07-12 Leonardo Mastrototaro , Gaetano Lambiase

An earlier scheme [arXiv:2404.03360], where torsion plays an essential part in a flat spacetime account of fermion spin, is extended to spacetimes with non-zero Riemann curvature. It is found that further essential features of the fermion,…

广义相对论与量子宇宙学 · 物理学 2024-04-18 William J. Leigh

We study spinors in the framework of general relativity, starting from the Dirac field Lagrangian in the approximation of weak gravity. We focus on how fermions couple to gravity through the spin connection, and we analyze these couplings…

广义相对论与量子宇宙学 · 物理学 2025-05-27 Elisa Varani

It is well known that when a fermion propagates in curved space-time, its spin couples to the curvature of background space-time. We propose that this interaction for neutrinos propagating in early curved universe could give rise to a new…

高能物理 - 唯象学 · 物理学 2009-11-11 Ujjal Debnath , Banibrata Mukhopadhyay , Naresh Dadhich

Four-fermion interaction models are often used as simplified models of interacting fermion fields with the chiral symmetry. The chiral symmetry is dynamically broken for a larger four-fermion coupling. It is expected that the broken…

高能物理 - 理论 · 物理学 2019-04-11 Tomohiro Inagaki , Yamato Matsuo , Hiromu Shimoji

Neutrino oscillations are a widely observed and well established phenomenon. It is also well known that deviations with respect to flavor conversion probabilities in vacuum arise due to neutrino interactions with matter. In this work, we…

高能天体物理现象 · 物理学 2016-12-06 P. F. de Salas , R. A. Lineros , M. Tórtola

A new mechanism having as an origin the space-time noncommutativity has been shown to generate anisotropy and axial-like interaction giving rise to a leptonic asymmetry for fermionic particles propagating in a curved noncommutative $FRW$…

高能物理 - 理论 · 物理学 2021-02-25 Ouahiba Mebarki , N. Mebarki , H. Aissaoui

We study spin and flavor oscillations of astrophysical neutrinos under the influence of external fields in curved spacetime. First, we consider spin oscillations in case of neutrinos gravitationally scattered off a rotating supermassive…

高能物理 - 唯象学 · 物理学 2023-06-01 Maxim Dvornikov

When neutrinos propagate in a background, their gravitational couplings are modified by their weak interactions with the particles in the background. In a medium that contains electrons but no muons or taons, the matter-induced…

高能物理 - 唯象学 · 物理学 2010-12-03 H. Athar , Jose F. Nieves

We derive the interaction of fermions with a dynamical space-time based on the postulate that the description of physics should be independent of the reference frame, which means to require the form-invariance of the fermion action under…

广义相对论与量子宇宙学 · 物理学 2021-08-31 Jürgen Struckmeier , David Vasak

This paper investigates the influence of non-commutative geometry on various aspects of neutrino behavior in curved spacetime. Adopting a Schwarzschild-like black hole solution with Lorentzian mass deformation induced by non-commutativity,…

广义相对论与量子宇宙学 · 物理学 2025-04-08 A. A. Araújo Filho , N. Heidari , Yuxuan Shi

If the gravitino is light and all the other supersymmetric particles are heavy, we can consider the effective theory describing the interactions of its goldstino components with ordinary matter. To discuss the model-dependence of these…

高能物理 - 理论 · 物理学 2014-11-18 Andrea Brignole , Ferruccio Feruglio , Fabio Zwirner

In the framework of quantum field theory, we analyze the neutrino oscillations in the presence of a torsion background. We consider the Einstein Cartan theory and we study the cases of constant torsion and of linearly time-dependent…

高能物理 - 唯象学 · 物理学 2025-03-19 A. Capolupo , S. Monda , G. Pisacane , A. Quaranta , R. Serao

We derive the new quasi-classical equation for the description of the spin evolution of a neutrino propagating in a curved space-time and interacting with a background matter and an external electromagnetic field. This equation is used to…

高能物理 - 唯象学 · 物理学 2013-06-17 Maxim Dvornikov

We consider a four-fermion theory as a simple model of dynamical symmetry breaking in flat space with non-trivial topology, motivated from recent studies in similar considerations in curved space. The phase structure is investigated, by…

高能物理 - 理论 · 物理学 2019-08-17 Ken-ichi Ishikawa , Tomohiro Inagaki , Kenji Fukazawa , Kezuhiro Yamamoto

The propagation of neutrinos in a gravitational field is studied. A method of calculating a covariant quantum-mechanical phase in a curved space-time is presented. The result is used to calculate gravitational effects on the neutrino…

高能物理 - 唯象学 · 物理学 2014-11-17 N. Fornengo , C. Giunti , C. W. Kim , J. Song