Particles In The Early Universe High Energy Limit Of The Standard Model From The Contraction Of Its Gauge Group

The aim of this book is to develop a contraction method for classical orthogonal and unitary groups (algebras), and apply it to the investigation of physical structures, offering a new and unique interpretation to the high-energy limit of the Standard Model. Readers will find a comprehensive and rigorous study, summarized as follows: The space-time models (or kinematics) are described on the motion group level. The Jordan-Schwinger representations of the groups are shown to be closely connected to the properties of stationary quantum systems, whose Hamiltonians are quadratic in creation and annihilation operators. The high-temperature limit of the Standard Model is associated with the contraction of its gauge group, and the tending-to-zero contraction parameter is connected to the inverse average energy (temperature) of the Universe. This makes it possible to re-establish the evolution of particles and their interactions in the early Universe up to Planck energy, where readers shall discover that the properties of elementary particles change drastically in the infinite temperature limit: all particles lose mass, all quarks are monochromatic, electroweak interactions become long range and are mediated by neutral currents.Absent in all known literature, this book would be the first in describing the dynamics of particle properties and their interactions at different stages in the evolution of the Universe. Presenting both physical and mathematical approaches to various problems, and their applications to the physics of the early Universe, this book will be a valuable addition to the sparse literature on the subject matter.

"The aim of this book is to develop a contraction method for Cayley-Klein orthogonal and unitary groups (algebras), and apply it to the investigation of physical structures. Readers will find a comprehensive study summarized as follows: The space-time models (or kinematics) are described on the motion group level. The Jordan-Schwinger representations of the groups are closely connected to the properties of stationary quantum systems whose Hamiltonians are quadratic in creation and annihilation operators. The high-temperature limit of the Standard Model is associated with the contraction of its gauge group. The tending-to-zero contraction parameter is connected to the inverse average energy (temperature) of the Universe which makes it possible to re-establish the evolution of particles and their interactions in the early Universe up to Planck energy. Properties of the elementary particles change drastically in the infinite temperature limit: all particles lose mass, all quarks are monochromatic, electroweak interactions become long range and are mediated by neutral currents"--

This book focuses on the basics of particle physics, while covering as many frontier advances as possible.The book introduces readers to the principle of symmetry, properties and classification of particles, the quark model of hadrons and the interactions of particles. Following which, the book offers a step-by-step presentation on the unified theory of electromagnetic and weak interaction, as well as the gauge theory of strong interaction: quantum chromodynamics (QCD).In sequential order of the book's development, readers will study topics on the deep inelastic scattering and parton model, the mixing of electrically neutral particle and anti-particles of neutral K meson, neutral B meson and neutral D meson, the CP non-conservation, the charmonium, the exotic states, the glue-ball and hybrid state, the lattice gauge theory, the neutrino oscillation and CP violation of lepton system. Several new models beyond the standard model, such as the grand unified theory and supersymmetric model, are then discussed. As one of the salient takeaways of this book, readers will also explore the interface between cosmology and particle physics.This book is suitable for senior undergraduates, graduate students, teachers and researchers in the field of particle physics. It is also valuable for experimental and theoretical particle physicists as a foundation for further research.

This proceedings records the 31st International Colloquium on Group Theoretical Methods in Physics (“Group 31”). Plenary-invited articles propose new approaches to the moduli spaces in gauge theories (V. Pestun, 2016 Weyl Prize Awardee), the phenomenology of neutrinos in non-commutative space-time, the use of Hardy spaces in quantum physics, contradictions in the use of statistical methods on complex systems, and alternative models of supersymmetry. This volume’s survey articles broaden the colloquia’s scope out into Majorana neutrino behavior, the dynamics of radiating charges, statistical pattern recognition of amino acids, and a variety of applications of gauge theory, among others. This year’s proceedings further honors Bertram Kostant (2016 Wigner Medalist), as well as S.T. Ali and L. Boyle, for their life-long contributions to the math and physics communities. The aim of the ICGTMP is to provide a forum for physicists, mathematicians, and scientists of related disciplines who develop or apply methods in group theory to share their research. The 31st ICGTMP was held in Rio de Janeiro, Brazil, from June 19th to June 25th, 2016. This was the first time that a colloquium of the prestigious and traditional ICGTMP series (which started in 1972 in Marseille, France) took place in South America. (The history of the colloquia can be found at http://icgtmp.blogs.uva.es/)

Proceedings of the NATO Advanced Study Institute, Erice, Italy, May 20-30, 1986

This work investigates gravitational wave production in the early universe and identifies potentially observable features, thereby paving the way for future gravitational wave experiments. It focuses on gravitational wave production in two scenarios: inflation in a model inspired by loop quantum gravity, and preheating at the end of inflation. In the first part, it is demonstrated that gravitational waves’ spectrum differs from the result obtained using ordinary general relativity, with potentially observable consequences that could yield insights into quantum gravity. In the second part, it is shown that the cosmic gravitational wave background is anisotropic at a level that could be detected by future experiments. Gravitational waves promise to be an rich source of information on the early universe. To them, the universe has been transparent from its earliest moments, so they can give us an unobstructed view of the Big Bang and a means to probe the fundamental laws of nature at very high energies.

This 2006 book uses the standard model as a vehicle for introducing quantum field theory.

This book contains papers by leading physicists on developments in high energy physics, string theory and cosmology. Topics covered include recent results from accelerator and non-accelerator experiments, CP-violation, neutrino physics, precision tests of the Standard Model, quantum gravity and two-dimensional gravity, superstring theory and superstring phenomenology, relativistic astrophysics and cosmology.