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Author: R Campoamor Strursberg
Publisher: World Scientific
ISBN: 9813273623
Category : Science
Languages : en
Pages : 759
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Book Description
'The book contains a lot of examples, a lot of non-standard material which is not included in many other books. At the same time the authors manage to avoid numerous cumbersome calculations … It is a great achievement that the authors found a balance.'zbMATHThis book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples.The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups. The topic of Lie algebras is revisited from the perspective of realizations, useful for explicit computations within these groups. The second half is devoted to applications in physics, divided into three main parts — the first deals with space-time symmetries, the Wigner method for representations and applications to relativistic wave equations. The study of kinematical algebras and groups illustrates the properties and capabilities of the notions of contractions, central extensions and projective representations. Gauge symmetries and symmetries in Particle Physics are studied in the context of the Standard Model, finishing with a discussion on Grand-Unified Theories.
Author: R Campoamor Strursberg
Publisher: World Scientific
ISBN: 9813273623
Category : Science
Languages : en
Pages : 759
Get Book Here
Book Description
'The book contains a lot of examples, a lot of non-standard material which is not included in many other books. At the same time the authors manage to avoid numerous cumbersome calculations … It is a great achievement that the authors found a balance.'zbMATHThis book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples.The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups. The topic of Lie algebras is revisited from the perspective of realizations, useful for explicit computations within these groups. The second half is devoted to applications in physics, divided into three main parts — the first deals with space-time symmetries, the Wigner method for representations and applications to relativistic wave equations. The study of kinematical algebras and groups illustrates the properties and capabilities of the notions of contractions, central extensions and projective representations. Gauge symmetries and symmetries in Particle Physics are studied in the context of the Standard Model, finishing with a discussion on Grand-Unified Theories.
Author: Rutwig Campoamor-Stursberg
Publisher: World Scientific Publishing Company
ISBN: 9789813273603
Category : Group theory
Languages : en
Pages : 0
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Book Description
This book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples. The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups. The topic of Lie algebras is revisited from the perspective of realizations, useful for explicit computations within these groups. The second half is devoted to applications in physics, divided into three main parts -- the first deals with space-time symmetries, the Wigner method for representations and applications to relativistic wave equations. The study of kinematical algebras and groups illustrates the properties and capabilities of the notions of contractions, central extensions and projective representations. Gauge symmetries and symmetries in Particle Physics are studied in the context of the Standard Model, finishing with a discussion on Grand-Unified Theories.
Author: Herbi K. Dreiner
Publisher: Cambridge University Press
ISBN: 1009347535
Category : Science
Languages : en
Pages : 1031
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Book Description
Supersymmetry is an extension of the successful Standard Model of particle physics; it relies on the principle that fermions and bosons are related by a symmetry, leading to an elegant predictive structure for quantum field theory. This textbook provides a comprehensive and pedagogical introduction to supersymmetry and spinor techniques in quantum field theory. By utilising the two-component spinor formalism for fermions, the authors provide many examples of practical calculations relevant for collider physics signatures, anomalies, and radiative corrections. They present in detail the component field and superspace formulations of supersymmetry and explore related concepts, including the theory of extended Higgs sectors, models of grand unification, and the origin of neutrino masses. Numerous exercises are provided at the end of each chapter. Aimed at graduate students and researchers, this volume provides a clear and unified treatment of theoretical concepts that are at the frontiers of high energy particle physics.
Author: Vladimir Dobrev
Publisher: Springer Nature
ISBN: 9811947511
Category : Mathematics
Languages : en
Pages : 526
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Book Description
This volume presents modern trends in the area of symmetries and their applications based on contributions to the Workshop "Lie Theory and Its Applications in Physics" held in Sofia, Bulgaria (on-line) in June 2021. Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators, special functions, and others. Furthermore, the necessary tools from functional analysis are included. This is a big interdisciplinary and interrelated field. The topics covered in this Volume are the most modern trends in the field of the Workshop: Representation Theory, Symmetries in String Theories, Symmetries in Gravity Theories, Supergravity, Conformal Field Theory, Integrable Systems, Quantum Computing and Deep Learning, Entanglement, Applications to Quantum Theory, Exceptional quantum algebra for the standard model of particle physics, Gauge Theories and Applications, Structures on Lie Groups and Lie Algebras. This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.
Author: Young Suh Kim
Publisher: World Scientific
ISBN: 9813237724
Category : Science
Languages : en
Pages : 205
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Book Description
Einstein's energy-momentum relation is applicable to particles of all speeds, including the particle at rest and the massless particle moving with the speed of light. If one formula or formalism is applicable to all speeds, we say it is 'Lorentz-covariant.' As for the internal space-time symmetries, there does not appear to be a clear way to approach this problem. For a particle at rest, there are three spin degrees of freedom. For a massless particle, there are helicity and gauge degrees of freedom. The aim of this book is to present one Lorentz-covariant picture of these two different space-time symmetries. Using the same mathematical tool, it is possible to give a Lorentz-covariant picture of Gell-Mann's quark model for the proton at rest and Feynman's parton model for the fast-moving proton. The mathematical formalism for these aspects of the Lorentz covariance is based on two-by-two matrices and harmonic oscillators which serve as two basic scientific languages for many different branches of physics. It is pointed out that the formalism presented in this book is applicable to various aspects of optical sciences of current interest.
Author: Rutwig Campoamor-Stursberg
Publisher:
ISBN: 9789811221279
Category :
Languages : en
Pages : 0
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Book Description
"The book contains a lot of examples, a lot of non-standard material which is not included in many other books. At the same time the authors manage to avoid numerous cumbersome calculations ... It is a great achievement that the authors found a balance." zbMATH This book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples. The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups. The topic of Lie algebras is revisited from the perspective of realizations, useful for explicit computations within these groups. The second half is devoted to applications in physics, divided into three main parts -- the first deals with space-time symmetries, the Wigner method for representations and applications to relativistic wave equations. The study of kinematical algebras and groups illustrates the properties and capabilities of the notions of contractions, central extensions and projective representations. Gauge symmetries and symmetries in Particle Physics are studied in the context of the Standard Model, finishing with a discussion on Grand-Unified Theories.
Author: Michel Rausch De Traubenberg
Publisher: World Scientific
ISBN: 9811210535
Category : Science
Languages : en
Pages : 379
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Book Description
This book is devoted to a pedagogical introduction to supergravity from a practical perspective. As a particular feature of the book, the authors provide explicit details, which makes the computations easier to follow for the interested reader. Each chapter has summary tables, which contain the main results and, in addition, we have collected important or additional material in the appendix.In the first part of the book, the N=1 supergravity Lagrangian in four spacetime dimensions is derived. Closely following the reference of Wess and Bagger, we use the superspace approach. All steps, from the geometric principles of curved superspace to the field redefinition necessary to obtain a correctly normalised Lagrangian, are carefully analysed. Comparisons with other methods, such as conformal supergravity, are also given.In the second part of the book, we address more phenomenological aspects of supergravity such as supersymmetry breaking, no-scale supergravity, super-Higgs mechanism, etc. Finally, the relationship between supergravity and particle physics, and cosmology are analysed.
Author: Predrag Cvitanović
Publisher: Princeton University Press
ISBN: 1400837677
Category : Mathematics
Languages : en
Pages : 278
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Book Description
If classical Lie groups preserve bilinear vector norms, what Lie groups preserve trilinear, quadrilinear, and higher order invariants? Answering this question from a fresh and original perspective, Predrag Cvitanovic takes the reader on the amazing, four-thousand-diagram journey through the theory of Lie groups. This book is the first to systematically develop, explain, and apply diagrammatic projection operators to construct all semi-simple Lie algebras, both classical and exceptional. The invariant tensors are presented in a somewhat unconventional, but in recent years widely used, "birdtracks" notation inspired by the Feynman diagrams of quantum field theory. Notably, invariant tensor diagrams replace algebraic reasoning in carrying out all group-theoretic computations. The diagrammatic approach is particularly effective in evaluating complicated coefficients and group weights, and revealing symmetries hidden by conventional algebraic or index notations. The book covers most topics needed in applications from this new perspective: permutations, Young projection operators, spinorial representations, Casimir operators, and Dynkin indices. Beyond this well-traveled territory, more exotic vistas open up, such as "negative dimensional" relations between various groups and their representations. The most intriguing result of classifying primitive invariants is the emergence of all exceptional Lie groups in a single family, and the attendant pattern of exceptional and classical Lie groups, the so-called Magic Triangle. Written in a lively and personable style, the book is aimed at researchers and graduate students in theoretical physics and mathematics.
Author: Annelies van der Veen
Publisher: Van Haren
ISBN: 9087535864
Category : Architecture
Languages : en
Pages : 233
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Book Description
Capacity Management is described in most key ITSM frameworks: ITIL, ISO 20000 Microsoft Operations Framework (MOF) and the Application Service Library (ASL) all note the importance of Capacity Management. This major title meets the need for an in-depth practical guide to this critical process. Written and reviewed by some of the world s most respected experts in this field it shows how Capacity Management best practice can support provision of a consistent, acceptable service level at a known and controlled cost. Practical advice covers the essential control of two balances: Supply versus demand and resources versus cost. In times of mean, frugal economic measures, it is essential to focus on those practices that are effective and yield practical results. In enlightened times of sustainability, it is also a requirement to find solutions that satisfy the criteria for 'greenness'. This excellent title shows how Capacity Management works not only within an IT environment but also why it is pivotal in meeting high profile business demands. Aligns with ISO/IEC 20000 and ITIL® ISO/IEC lists a set of required capacity management deliverables ITIL outlines what should be done in capacity management this book starts to describe how to do it Covers details of what capacity management is all about: what is capacity management why do it benefits and cost-benefit analysis how to do it data-flows and activities who does it roles and perspectives implementation, maintenance, improvement, tools Provides comprehensive templates and checklists: objectives, interfaces and data-flows, sub-practices and activities metrics, application sizing parameters, data for modelling deliverables, reports, CMMI levels, KPIs, risk matrix sample capacity plan
Author: Linda Candy
Publisher: Routledge
ISBN: 1000761525
Category : Education
Languages : en
Pages : 287
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Book Description
The Creative Reflective Practitioner explores research and practice through the eyes of people with a wholehearted commitment to creative work. It reveals what it means to be a reflective creative practitioner, whether working alone, in collaboration with others, with digital technology or doing research, and what we can learn from listening and observing closely. It gives the reader new insights into the fascinating challenge that having a reflective creative mindset can bring. Creative reflective practice is seen through practitioner ideas and works which have informed the writing at every level, supported by research studies and historical accounts. The practitioners featured in this book represent a broad spectrum of interdisciplinary creative activities producing works in film, music, drama, dance and interactive installations. Their work is innovative, full of new ideas and exciting to experience, offering engagement and challenge for audiences and participants alike. Practitioner interviews give a direct sense of how they see creative practice from the inside. The ways in which these different situations of practice stimulate and facilitate reflection in practice and how we can learn from this are described. Variations of reflective practice are discussed that extend the original concepts proposed by Donald Schön, and a contemporary dimension is added through the role of the digital in creative reflective practice as a tool, mediator, medium and partner. This book is relevant to people who wish to understand creativity and reflection in practice and how to learn from the practitioners themselves. This includes researchers in any discipline as well as students, arts professionals and practitioners such as artists, curators, designers, musicians, performers, producers and technologists.
