Supersymmetry And Its Applications
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Author | : G. W. Gibbons |
Publisher | : CUP Archive |
Total Pages | : 502 |
Release | : 1986-06-12 |
Genre | : Science |
ISBN | : 9780521307215 |
This volume contains papers presented at the Nuffield Workshop on supersymmetry and its applications held at Cambridge in the summer of 1985 and attended by many of the leading experts in the field. In physical terms, supersymmetry is a symmetry or gauge invariance which connects bosons (particles with integer spin) with fermions (particles with half integer spin). The study of supersymmetry has led to the construction of Yang-Mills theories, which are the first field theories to be free of the divergences that usually occur in quantum theories, with an infinite number of degrees of freedom. It has also led to the construction of supergravity and superstring theories which seem to be the best hope for a complete unified theory of all physical interactions including gravity. Supersymmetry and its Applications reviews a number of recent advances in the area of anomalies, the topology of gauge theories, superstrings, supergravity and super Yang-Mills theory.The papers, written by both physicists and mathematicians, include both expository articles and progress reports describing most recent developments.
Author | : Sergio Ferrara |
Publisher | : World Scientific |
Total Pages | : 1371 |
Release | : 1987-10-01 |
Genre | : Science |
ISBN | : 9814513539 |
These volumes, a collection of a series of articles with commentary notes by the editor, describe supersymmetric theories for particle interactions from the earliest developments to the latest advancements. The book, divided into two volumes, will mainly focus its attention on subjects related to the application of N = 1 supersymmetry and supergravity to unified theories, encompassing all fundamental forces of nature. Particular emphasis is given to the ultraviolet cancellations in supersymmetric field theories, naturalness and hierarchy of scales, spontaneous symmetry breaking, super-Higgs effect and its applications to high energy physics. Both perturbative and non-perturbative aspects of supersymmetric field theories are covered. Over a hundred seminar papers are reprinted in these volumes.
Author | : Georg Junker |
Publisher | : Springer Science & Business Media |
Total Pages | : 179 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 364261194X |
The idea of supersymmetry was originally introduced in relativistic quantum field theories as a generalization of Poincare symmetry. In 1976 Nicolai sug gested an analogous generalization for non-relativistic quantum mechanics. With the one-dimensional model introduced by Witten in 1981, supersym metry became a major tool in quantum mechanics and mathematical, sta tistical, and condensed-IIll;l. tter physics. Supersymmetry is also a successful concept in nuclear and atomic physics. An underlying supersymmetry of a given quantum-mechanical system can be utilized to analyze the properties of the system in an elegant and effective way. It is even possible to obtain exact results thanks to supersymmetry. The purpose of this book is to give an introduction to supersymmet ric quantum mechanics and review some of the recent developments of vari ous supersymmetric methods in quantum and statistical physics. Thereby we will touch upon some topics related to mathematical and condensed-matter physics. A discussion of supersymmetry in atomic and nuclear physics is omit ted. However, the reader will find some references in Chap. 9. Similarly, super symmetric field theories and supergravity are not considered in this book. In fact, there exist already many excellent textbooks and monographs on these topics. A list may be found in Chap. 9. Yet, it is hoped that this book may be useful in preparing a footing for a study of supersymmetric theories in atomic, nuclear, and particle physics. The plan of the book is as follows.
Author | : Peter G. O. Freund |
Publisher | : Cambridge University Press |
Total Pages | : 168 |
Release | : 1986 |
Genre | : Science |
ISBN | : 9780521356756 |
A brief introductory description of the new physical and mathematical ideas involved in formulating supersymmetric theories. The basic ideas are worked out in low space dimensionalities and techniques where the formulae do not obscure the concepts.
Author | : Konstantin Efetov |
Publisher | : Cambridge University Press |
Total Pages | : 470 |
Release | : 1999-09-13 |
Genre | : Mathematics |
ISBN | : 9780521663823 |
This book provides a comprehensive treatment of the ideas and applications of supersymmetry.
Author | : John Terning |
Publisher | : OUP Oxford |
Total Pages | : 339 |
Release | : 2009-01-15 |
Genre | : Science |
ISBN | : 0191565490 |
The book begins with a brief review of supersymmetry, and the construction of the minimal supersymmetric standard model and approaches to supersymmetry breaking. General non-perturbative methods are also reviewed leading to the development of holomorphy and the Affleck-Dine-Seiberg superpotential as powerful tools for analysing supersymmetric theories. Seiberg duality is discussed in detail, with many example applications provided, with special attention paid to its use in understanding dynamical supersysmmetry breaking. The Seiberg-Witten theory of monopoles is introduced through the analysis of simpler N=1 analogues. Superconformal field theories are described along with the most recent development known as "amaximization". Supergravity theories are examined in 4, 10, and 11 dimensions, allowing for a discussion of anomaly and gaugino mediation, and setting the stage for the anti- de Sitter/conformal field theory correspondence. This book is unique in containing an overview of the important developments in supersymmetry since the publication of "Suppersymmetry and Supergravity" by Wess and Bagger. It also strives to cover topics that are of interest to both formal and phenomenological theorists.
Author | : S. Ferrara |
Publisher | : World Scientific |
Total Pages | : 0 |
Release | : 1987 |
Genre | : Science |
ISBN | : 9971966220 |
These volumes, a collection of a series of articles with commentary notes by the editor, describe supersymmetric theories for particle interactions from the earliest developments to the latest advancements. The book, divided into two volumes, will mainly focus its attention on subjects related to the application of N = 1 supersymmetry and supergravity to unified theories, encompassing all fundamental forces of nature. Particular emphasis is given to the ultraviolet cancellations in supersymmetric field theories, naturalness and hierarchy of scales, spontaneous symmetry breaking, super-Higgs effect and its applications to high energy physics. Both perturbative and non-perturbative aspects of supersymmetric field theories are covered. Over a hundred seminar papers are reprinted in these volumes.
Author | : Georg Junker |
Publisher | : Programme: Iop Expanding Physi |
Total Pages | : 250 |
Release | : 2019-01-31 |
Genre | : Science |
ISBN | : 9780750320245 |
Building on the earlier edition it now encapsulates the substantial developments that have been made in supersymmetric quantum mechanics in recent years. Aimed at graduate students and scientists this book provides a thorough review supersymmetric quantum mechanics and now includes problems and solutions.
Author | : Wim Beenakker |
Publisher | : Springer |
Total Pages | : 146 |
Release | : 2015-10-22 |
Genre | : Science |
ISBN | : 3319247980 |
In this work the question whether noncommutative geometry allows for supersymmetric theories is addressed. Noncommutative geometry has seen remarkable applications in high energy physics, viz. the geometrical interpretation of the Standard Model, however such a question has not been answered in a conclusive way so far.The book starts with a systematic analysis of the possibilities for so-called almost-commutative geometries on a 4-dimensional, flat background to exhibit not only a particle content that is eligible for supersymmetry, but also have a supersymmetric action. An approach is proposed in which the basic `building blocks' of potentially supersymmetric theories and the demands for their action to be supersymmetric are identified. It is then described how a novel kind of soft supersymmetry breaking Lagrangian arises naturally from the spectral action. Finally, the above formalism is applied to explore the existence of a noncommutative version of the minimal supersymmetric Standard Model.This book is intended for mathematical/theoretical physicists with an interest in the applications of noncommutative geometry to supersymmetric field theories.
Author | : Allen Hirshfeld |
Publisher | : World Scientific |
Total Pages | : 216 |
Release | : 2012 |
Genre | : Science |
ISBN | : 1848167970 |
The solution of the Dirac equation for an electron in a Coulomb field is systematically treated here by utilizing new insights provided by supersymmetry. It is shown that each of the concepts has its analogue in the non-relativistic case. Indeed, the non-relativistic case is developed first, in order to introduce the new concepts in a familiar context. The symmetry of the non-relativistic model is already present in the classical limit, so the classical Kepler problem is first discussed in order to bring out the role played by the Laplace vector, one of the central concepts of the whole book. Analysis of the concept of eccentricity of the orbits turns out to be essential to understanding the relation of the classical and quantum mechanical models. The opportunity is taken to relive the great moments of physics: From Kepler's discovery of the laws of motion of the planets the development is traced through the Dirac equation up to modern advances, which bring the concepts of supersymmetry to bear on the derivation of the solutions.