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Neutrino mass and mixing with modular symmetry.
Rep Prog Phys
July 2024
Department of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom.
This is a review article about neutrino mass and mixing and flavour model building strategies based on modular symmetry. After a brief survey of neutrino mass and lepton mixing, and various Majorana seesaw mechanisms, we construct and parameterise the lepton mixing matrix and summarise the latest global fits, before discussing the flavour problem of the Standard Model. We then introduce some simple patterns of lepton mixing, introduce family (or flavour) symmetries, and show how they may be applied to direct, semi-direct and tri-direct CP models, where the simple patterns of lepton mixing, or corrected versions of them, may be enforced by the full family symmetry or a part of it, leading to mixing sum rules.
View Article and Find Full Text PDFHamiltonian Computational Chemistry: Geometrical Structures in Chemical Dynamics and Kinetics.
Entropy (Basel)
April 2024
Department of Chemistry, University of Crete, GR-700 13 Heraklion, Greece.
The common geometrical (symplectic) structures of classical mechanics, quantum mechanics, and classical thermodynamics are unveiled with three pictures. These cardinal theories, mainly at the non-relativistic approximation, are the cornerstones for studying chemical dynamics and chemical kinetics. Working in extended phase spaces, we show that the physical states of integrable dynamical systems are depicted by Lagrangian submanifolds embedded in phase space.
View Article and Find Full Text PDFThis paper provides an introduction to symplectic numerical integration techniques and examines various optical applications. We first outline the fundamentals of Hamiltonian optics and detail the construction of a symplectic method via the splitting technique. Numerical experiments involving a selection of spherically symmetric gradient-index lenses compare the accuracy of various first-, second-, and fourth-order symplectic methods with equivalent nonsymplectic methods.
View Article and Find Full Text PDFExploring the pathogenesis of depression and potential antidepressants through the integration of reverse network pharmacology, molecular docking, and molecular dynamics.
Medicine (Baltimore)
November 2023
College of Traditional Chinese Medicine, Shandong University of Traditional Chinese Medicine, Jinan, China.
Depression is characterized by a significant and persistent decline in mood and is currently a major threat to physical and mental health. Traditional Chinese medicine can effectively treat depression with few adverse effects. Therefore, this study aimed to examine the use of reverse network pharmacology and computer simulations to identify effective ingredients and herbs for treating depression.
View Article and Find Full Text PDFFree Field Realisation of the Chiral Universal Centraliser.
Ann Henri Poincare
May 2023
Mathematical Institute, University of Oxford, Woodstock Road, Oxford, OX2 6GG UK.
In the TQFT formalism of Moore-Tachikawa for describing Higgs branches of theories of class , the space associated to the unpunctured sphere in type is the universal centraliser , where . In more physical terms, this space arises as the Coulomb branch of pure gauge theory in three dimensions with gauge group , the Langlands dual. In the analogous formalism for describing chiral algebras of class , the vertex algebra associated to the sphere has been dubbed the .
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