Ioannis John Demetrius Vergados's Books

The Standard Model And Beyond

By: Ioannis John Demetrius Vergados

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This book contains a systematic and pedagogical exposition of recent developments in particle physics and cosmology. It starts with two introductory chapters on group theory and the Dirac theory. Then it proceeds with the formulation of the Standard Model (SM) of Particle Physics, particle content and symmetries, fully exploiting the material of the first two chapters. It discusses the concept of gauge symmetries and emphasizes their role in particle physics. It then analyses the Higgs mechanism and the spontaneous symmetry breaking (SSB). It explains how the particles (gauge bosons and fermions) after the SSB acquire a mass and get admixed. The various forms of the charged currents are discussed in detail as well as how the parameters of the SM, which cannot be determined by the theory, are fixed by experiment, including the recent LHC data and the Higgs discovery. Quantum chromodynamics is discussed and various low energy approximations to it are presented. The Feynman diagrams are introduced and applied, at the level of first year graduate students.Examples are the evaluation of the decay widths of the gauge bosons and some cross sections for interesting processes such as Rutherford scattering, electron-proton scattering (elementary proton or described by a form factor, and inelastic scattering) and Compton scattering.After that the classic topics like the role of C, P, CP symmetries and the experimental methods needed to verify their conservation or violation are discussed in some detail. Topics beyond the standard model, like supersymmetry for pedestrians and grand unification, are discussed.To this end neutrino oscillations, dark matter and baryon asymmetry are also briefly discussed at the first year graduate level. Finally, the book contains an exhibition of recent developments in cosmology, especially from the elementary particle point of view.

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452

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World Scientific Publishing Company

Published Date

ISBN 10

9813228571

ISBN 13

9789813228573

Group Theory: Finite Discrete Groups And Applications

By: Ioannis John Demetrius Vergados,Vasiliki-ioanna Vergadou-remediaki

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Group Theory: Finite Discrete Groups And Applications

By: Ioannis John Demetrius Vergados,Vasiliki-ioanna Vergadou-remediaki

This book deals with the role played by symmetry in the understanding of the physical world, beginning with the notion of geometric symmetries of the ancient Greek philosophers and mathematicians. The recognition of the existence of symmetries led to the notion of transformations, which led from one state of the system to another. It was then realized that such transformations, under the operation of multiplication, constitute an interesting set, whose study led to the branch of mathematics known as Group Theory. With the emergence of quantum mechanics, this theory became much more interesting and led to some additional applications. The theory got another boost with the need for of the internal degrees of freedom in describing physical systems. This way the notion of symmetry is no longer purely geometric and evolved into a useful tool in the study of all physical sciences.For practical reasons as well as pedagogical reasons, group theory is usually split into two parts. The first deals with discrete groups, with the group elements being countable, usually finite in number, while the second deals with continuous groups, whose elements depend on continuous parameters. This volumefocuses the discussion on discrete groups. Given that group theory should be presented from a unified perspective, involving not only the mathematical rigor and beauty of symmetries, but also the ability to use it as a tool for applications, either currently popular or expected to become so in the future, this approach will surely be more beneficial to the dedicated reader. It is not intended for those who would like to just look up a formula or use the results of a table, without understanding their derivation.

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364

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World Scientific

Published Date

ISBN 10

9811274770

ISBN 13

9789811274770

Subatomic Physics: An Introduction To Nuclear And Particle Physics, And Astrophysics

By: Ioannis John Demetrius Vergados,Charalampos Moustakidis

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Subatomic Physics: An Introduction To Nuclear And Particle Physics, And Astrophysics

By: Ioannis John Demetrius Vergados,Charalampos Moustakidis

This book is intended for undergraduate or beginning graduate students. The net outcome is material to cover one integrated course on Nuclear and Particle Physics as well as Astrophysics.There are many advantages in teaching all these subjects together as they have become increasingly inseparable. From a theoretical point of view, understanding the similarities between atoms, nuclei and other hadrons and applying analogs from one to the other have been very effective in research and they have led to the development of all these fields. From an experimental point of view, a high energy experimentalist must understand nuclear physics, if he or she wants to construct new devices, like detectors, etc., appropriate for observing new high energy phenomena. Furthermore, an understanding of certain areas of astrophysics and the physics of the cosmos, demands a good grasp of both nuclear and particle physics.This book is intended as a menu from which the reader can pick material according to his or her taste and interests. The authors inserted proper cross references to make a specific selection by the reader from this menu as easily digestible as possible. The authors supplied sets of problems with varying degree of complexity, accompanied by hints or a sketch of the solution, if needed, in most chapters.

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502

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World Scientific

Published Date

ISBN 10

9811229813

ISBN 13

9789811229817

Group And Representation Theory

By: Ioannis John Demetrius Vergados

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Group And Representation Theory

By: Ioannis John Demetrius Vergados

This volume goes beyond the understanding of symmetries and exploits them in the study of the behavior of both classical and quantum physical systems. Thus it is important to study the symmetries described by continuous (Lie) groups of transformations. We then discuss how we get operators that form a Lie algebra. Of particular interest to physics is the representation of the elements of the algebra and the group in terms of matrices and, in particular, the irreducible representations. These representations can be identified with physical observables.This leads to the study of the classical Lie algebras, associated with unitary, unimodular, orthogonal and symplectic transformations. We also discuss some special algebras in some detail. The discussion proceeds along the lines of the Cartan-Weyl theory via the root vectors and root diagrams and, in particular, the Dynkin representation of the roots. Thus the representations are expressed in terms of weights, which are generated by the application of the elements of the algebra on uniquely specified highest weight states. Alternatively these representations can be described in terms of tensors labeled by the Young tableaux associated with the discrete symmetry Sn. The connection between the Young tableaux and the Dynkin weights is also discussed. It is also shown that in many physical systems the quantum numbers needed to specify the physical states involve not only the highest symmetry but also a number of sub-symmetries contained in them. This leads to the study of the role of subalgebras and in particular the possible maximal subalgebras. In many applications the physical system can be considered as composed of subsystems obeying a given symmetry. In such cases the reduction of the Kronecker product of irreducible representations of classical and special algebras becomes relevant and is discussed in some detail. The method of obtaining the relevant Clebsch-Gordan (C-G) coefficients for such algebras is discussed and some relevant algorithms are provided. In some simple cases suitable numerical tables of C-G are also included.The above exposition contains many examples, both as illustrations of the main ideas as well as well motivated applications. To this end two appendices of 51 pages — 11 tables in Appendix A, summarizing the material discussed in the main text and 39 tables in Appendix B containing results of more sophisticated examples are supplied. Reference to the tables is given in the main text and a guide to the appropriate section of the main text is given in the tables.

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Page Count

349

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World Scientific Publishing Company

Published Date

ISBN 10

9813202467

ISBN 13

9789813202467

Subatomic Physics: An Introduction To Nuclear And Particle Physics, And Astrophysics

By: Ioannis John Demetrius Vergados,Charalampos Moustakidis

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Subatomic Physics: An Introduction To Nuclear And Particle Physics, And Astrophysics

By: Ioannis John Demetrius Vergados,Charalampos Moustakidis

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Page Count

502

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World Scientific

Published Date

ISBN 10

9811229813

ISBN 13

9789811229817

The Standard Model and Beyond

By: Ioannis John Demetrius Vergados,John Demetrius Vergados

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The Standard Model and Beyond

By: Ioannis John Demetrius Vergados,John Demetrius Vergados

This book contains a systematic and pedagogical exposition of recent developments in particle physics and cosmology. It starts with two introductory chapters on group theory and the Dirac theory. Then it proceeds with the formulation of the Standard Model (SM) of Particle Physics, particle content and symmetries, fully exploiting the material of the first two chapters. It discusses the concept of gauge symmetries and emphasizes their role in particle physics. It then analyses the Higgs mechanism and the spontaneous symmetry breaking (SSB). It explains how the particles (gauge bosons and fermions) after the SSB acquire a mass and get admixed. The various forms of the charged currents are discussed in detail as well as how the parameters of the SM, which cannot be determined by the theory, are fixed by experiment, including the recent LHC data and the Higgs discovery. Quantum chromodynamics is discussed and various low energy approximations to it are presented. The Feynman diagrams are introduced and applied, at the level of first year graduate students. Examples are the evaluation of the decay widths of the gauge bosons and some cross sections for interesting processes such as Rutherford scattering, electron-proton scattering (elementary proton or described by a form factor, and inelastic scattering) and Compton scattering. After that the classic topics like the role of C, P, CP symmetries and the experimental methods needed to verify their conservation or violation are discussed in some detail. Topics beyond the standard model, like supersymmetry for pedestrians and grand unification, are discussed. To this end neutrino oscillations, dark matter and baryon asymmetry are also briefly discussed at the first year graduate level. Finally, the book contains an exhibition of recent developments in cosmology, especially from the elementary particle point of view.

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Page Count

452

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813275774

ISBN 13

9789813275775

Book's by Ioannis John Demetrius Vergados

The Standard Model And Beyond

The Standard Model And Beyond

Group Theory: Finite Discrete Groups And Applications

Group Theory: Finite Discrete Groups And Applications

Subatomic Physics: An Introduction To Nuclear And Particle Physics, And Astrophysics

Subatomic Physics: An Introduction To Nuclear And Particle Physics, And Astrophysics

Group And Representation Theory

Group And Representation Theory

Subatomic Physics: An Introduction To Nuclear And Particle Physics, And Astrophysics

Subatomic Physics: An Introduction To Nuclear And Particle Physics, And Astrophysics

The Standard Model and Beyond

The Standard Model and Beyond

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