An exploration of the intersection of particle physics, astrophysics, and cosmology known as astroparticle physics. Extreme electromagnetic conditions present in puslars and other stars allow for investigations of the role of quantum processes in the dynamics of astrophysical objects and in the early Universe. Based in part on the authors' own work, this book systematically describes several methods of calculation of the effects of strong electromagnetic fields in quantum processes using analytical solutions of the Dirac equation and Feynmann diagrams at both the loop and tree levels. The consideration is emphasized at the two limiting cases: the case of a very strong magnetic field, and the case of a crossed field. The presentation will appeal to graduate students of theoretical physics with prior understanding of Quantum Field Theory (QFT) and the Standard Model of Electroweak Interactions, as well as specialists in QFT wishing to know more about the problems of quantum phenomena in external electomagnetic fields.

This book examines and systematises the theoretical dimensions of paradiplomacy - the role of subnational governments in international relations. Throughout the world, subnational governments play an active role in international relations by participating in international trade, cultural missions and diplomatic relations with foreign powers. These governments, including states in the USA and landers in Germany, can sometimes even challenge the official foreign policy of their national government. These activities, which are regularly promoting the subnational government's interests, have been labelled as 'paradiplomacy'. Through a systematisation of the different approaches in understanding constituent diplomacy, the author constructs an integrative theoretical explanatory framework to guide research on regional governments' involvement in international affairs. The framework is based on a multiple-response questionnaire technique (MRQ) which provides the matrix of possible answers on a set of key questions for paradiplomacy scholarship. This comprehensive analysis of the phenomenon of paradiplomacy sheds light on the development of federalism and multi-level governance in a new global environment and contributes to the debates on the issue of 'actorness' in contemporary international affairs. This book will be of much interest to students of diplomacy, federalism, governance, foreign policy and IR, as well as practitioners of diplomacy.

Expanding on the concept of the authors' previous book "Electroweak Processes in External Electromagnetic Fields," this new book systematically describes the investigation methods for the effects of external active media, both strong electromagnetic fields and hot dense plasma, in quantum processes. Solving the solar neutrino puzzle in a unique experiment conducted with the help of the heavy-water detector at the Sudbery Neutrino Observatory, along with another neutrino experiments, brings to the fore electroweak physics in an active external medium. It is effectively demonstrated that processes of neutrino interactions with active media of astrophysical objects may lead, under some physical conditions, to such interesting effects as neutrino-driven shockwave revival in a supernova explosion, a "cherry stone shooting" mechanism for pulsar natal kick, and a neutrino pulsar. It is also shown how poor estimates of particle dispersion in external active media sometimes lead to confusion. The book will appeal to graduate and post-graduate students of theoretical physics with a prior understanding of Quantum Field Theory (QFT) and the Standard Model of Electroweak Interactions, as well as to specialists in QFT who want to know more about the problems of quantum phenomena in hot dense plasma and external electromagnetic fields.

Expanding on the concept of the authors' previous book "Electroweak Processes in External Electromagnetic Fields," this new book systematically describes the investigation methods for the effects of external active media, both strong electromagnetic fields and hot dense plasma, in quantum processes. Solving the solar neutrino puzzle in a unique experiment conducted with the help of the heavy-water detector at the Sudbery Neutrino Observatory, along with another neutrino experiments, brings to the fore electroweak physics in an active external medium. It is effectively demonstrated that processes of neutrino interactions with active media of astrophysical objects may lead, under some physical conditions, to such interesting effects as neutrino-driven shockwave revival in a supernova explosion, a "cherry stone shooting" mechanism for pulsar natal kick, and a neutrino pulsar. It is also shown how poor estimates of particle dispersion in external active media sometimes lead to confusion. The book will appeal to graduate and post-graduate students of theoretical physics with a prior understanding of Quantum Field Theory (QFT) and the Standard Model of Electroweak Interactions, as well as to specialists in QFT who want to know more about the problems of quantum phenomena in hot dense plasma and external electromagnetic fields.

An exploration of the intersection of particle physics, astrophysics, and cosmology known as astroparticle physics. Extreme electromagnetic conditions present in puslars and other stars allow for investigations of the role of quantum processes in the dynamics of astrophysical objects and in the early Universe. Based in part on the authors' own work, this book systematically describes several methods of calculation of the effects of strong electromagnetic fields in quantum processes using analytical solutions of the Dirac equation and Feynmann diagrams at both the loop and tree levels. The consideration is emphasized at the two limiting cases: the case of a very strong magnetic field, and the case of a crossed field. The presentation will appeal to graduate students of theoretical physics with prior understanding of Quantum Field Theory (QFT) and the Standard Model of Electroweak Interactions, as well as specialists in QFT wishing to know more about the problems of quantum phenomena in external electomagnetic fields.

This book examines and systematises the theoretical dimensions of paradiplomacy - the role of subnational governments in international relations. Subnational governments across the world (provinces in Canada, states in the USA, cantons in Switzerland, landers in Germany, etc.) actively participate in international relations. They open trade and cultural missions abroad, join international networks of cooperation, sign treaties and agreements with foreign state and non-state actors and sometimes even challenge the official foreign policy of their central governments through critical statements or controversial actions. All these kinds of external activities have been labeled as 'paradiplomacy'. Through a systematisation of the different approaches in understanding constituent diplomacy, the author constructs an integrative theoretical explanatory framework to guide research on regional governments' involvement in international affairs. This theoretical framework can be used as a research guide for the study of the external activities of different subnational governments in various contexts.The framework is based on a multiple-response questionnaire technique (MRQ) which provides the matrix of possible answers on a set of key questions for paradiplomacy scholarship, such as: Why do subnational units go abroad? What channels and methods they are prefer to use in their 'foreign policy'? What are the potential consequences of paradiplomacy actions? The explanatory framework is also a 'product with an open code' and therefore can be updated and improved by any scholar in accordance with his/her theoretical and practical discoveries in the broad field of paradiplomacy research. This comprehensive analysis of the phenomenon of paradiplomacy sheds light on the development of federalism and multi-level governance in a new global environment and contributes to the debates on the issue of 'actorness' in contemporary international affairs. This book will be of much interest to students of diplomacy, federalism, governance, foreign policy and IR, as well as practitioners of diplomacy.

Providing an overview of the state of the art on rationality questions in algebraic geometry, this volume gives an update on the most recent developments. It offers a comprehensive introduction to this fascinating topic, and will certainly become an essential reference for anybody working in the field. Rationality problems are of fundamental importance both in algebra and algebraic geometry. Historically, rationality problems motivated significant developments in the theory of abelian integrals, Riemann surfaces and the Abel-Jacobi map, among other areas, and they have strong links with modern notions such as moduli spaces, Hodge theory, algebraic cycles and derived categories. This text is aimed at researchers and graduate students in algebraic geometry.