This thesis explores a fundamental question in field theory: If we modify a theory by introducing a small parameter, can we recover the original theory by setting that parameter back to zero? While seemingly simple, this question presents a major challenge in gauge theories where mass is added manually. In fact, some have even argued that such theories should be completely discarded as viable descriptions of nature.Focusing on massive gauge theories, particularly those involving ve...

The book unifies quantum theory and the general theory of relativity. As an unsolved problem for about 100 years and influencing so many fields, this is probably of some importance to the scientific community. Examples like Higgs field, limit to classical Dirac and Klein–Gordon or Schrödinger cases, quantized Schwarzschild, Kerr, Kerr–Newman objects, and the photon are considered for illustration. An interesting explanation for the asymmetry of matter and antimatter in the early universe w...

A comprehensive overview of holographic methods in quantum matter, written by pioneers in the field.This book, written by pioneers in the field, offers a comprehensive overview of holographic methods in quantum matter. It covers influential developments in theoretical physics, making the key concepts accessible to researchers and students in both high energy and condensed matter physics. The book provides a unique combination of theoretical and historical context, ...

This open access book is a compilation of enlightening tutorial essays, showcasing the forefront of research by exceptional female scientists. This invaluable collection provides graduate students and researchers in the field with an engaging and pedagogical introduction to a wide range of compelling topics. Delve into the depths of theoretical and observational realms, exploring intriguing subjects including modified gravity models, quantum gravity, fields in curved space-time, particle d...

This book is a short introduction to classical field theory, and is most suitable for undergraduate students who have completed at least intermediate-level courses in electromagnetism and classical mechanics. The main theme of the book is showcasing the role of fields in mediating action-at-a-distance interactions. Suitable technical machinery is developed to explore at least some aspect of each of the four known fundamental forces in nature. Beginning with the physically-motivated introdu...

This book provides the first graduate-level, self-contained introduction to recent developments that lead to the formulation of the configuration-interaction approach for open quantum systems, the Gamow shell model, which provides a unitary description of quantum many-body system in different regimes of binding, and enables the unification in the description of nuclear structure and reactions. The Gamow shell model extends and generalizes the phenomenologically successful nuclear shell mod...

Condensed matter systems where interactions are strong are inherently difficult to analyze theoretically. The situation is particularly interesting in low-dimensional systems, where quantum fluctuations play a crucial role. Here, the development of non-perturbative methods and the study of integrable field theory have facilitated the understanding of the behavior of many quasi one- and two-dimensional strongly correlated systems. In view of the same rapid development that has taken place f...

'The authors provide an up-to-date, well-organised background and essential elements of supergravity notions as well as all relevant aspects of Chern-Simons forms in gravitation. The book is a self-contained, informative, and much-needed broad introduction into the latest quantum gravity concepts, with a main focus on Chern-Simons gravity and supersymmetry … The book represents a comprehensive and systematic pedagogical exposition on gravitational Chern-Simons (Super)gravity theories, thei...

This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montréal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-pert...

This book presents an introduction to viscoelasticity; in particular, to the theories of dilute polymer solutions and dilute suspensions of rigid particles in viscous and incompressible fluids. These theories are important, not just because they apply to practical problems of industrial interest, but because they form a solid theoretical base upon which mathematical techniques can be built, from which more complex theories can be constructed, to better mimic material behaviour. The emphasi...

Observational and experimental data pertaining to gravity and cosmology are changing our view of the Universe. General relativity is a fundamental key for the understanding of these observations and its theory is undergoing a continuing enhancement of its intersection with observational and experimental data. These data include direct observations and experiments carried out in our solar system, among which there are direct gravitational wave astronomy, frame dragging and tests of gravitat...

Using classification, diagrams and crystallography elements, we describe in this book the bonds in the crystals using the basic patterns. The use of various criteria such as ionicity character of the bonds, the use of hard sphere models, the Pauling rules and the spatial availability of ions all together make it possible to better understand the spatial organization of typical crystals. Through original representations, the structure and the nature of the bonds in binary crystals of MX- an...