Recent Advances in Field Theory presents the proceedings of the Fourth Annecy Meeting on Theoretical Physics, held in Annecy-le-Vieux, France, on March 5–9, 1990. This book presents several relevant developments on the subject, including quantum algebra, two-dimensional quantum gravity, and topological quantum theories. Organized into 29 chapters, this book begins with an overview of the Hamiltonian quantization of the topological Chern–Simons theory. This text then examines the conformal affine Liouville model. Other chapters consider the global analyticity properties of functions correlated with causal kernels on de Sitter space. This book discusses as well the three particle models in terms of noncommutative gauge theory, namely, the Peccei-Quinn model, the Glashow–Weinberg–Salam model, and the standard model. The final chapter deals with the development on the construction of lattice integrable models corresponding to the SU (N) coset conformal field theories. This book is a valuable resource for physicists and scientists.

Presents recent advances of perturbative relativistic field theory in a pedagogical and straightforward way. For graduate students who intend to specialize in high-energy physics.

This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.

Quantum Field Theory is now well recognized as a powerful tool not only in Particle Physics but also in Nuclear Physics, Condensed Matter Physics, Solid State Physics and even in Mathematics. In this book some current applications of Quantum Field Theory to those areas of modern physics and mathematics are collected, in order to offer a deeper understanding of known facts and unsolved problems.

A comprehensive overview and analysis of one of the most influential theories in psychology is offered in this volume. Based on the pioneering work of social psychologist Kurt Lewin, it outlines the work of several generations of international field theorists and attests to the durability and utility of Lewin's work. Essays trace the history and development of field theory and discuss its various applications in a number of settings. Topics addressed include managing social conflict, self-help groups, field theory and the construction of social problems and academic sex discrimination.

Contemporary quantum field theory is mainly developed as quantization of classical fields. Therefore, classical field theory and its BRST extension is the necessary step towards quantum field theory. This book aims to provide a complete mathematical foundation of Lagrangian classical field theory and its BRST extension for the purpose of quantization. Based on the standard geometric formulation of theory of nonlinear differential operators, Lagrangian field theory is treated in a very general setting. Reducible degenerate Lagrangian theories of even and odd fields on an arbitrary smooth manifold are considered. The second Noether theorems generalized to these theories and formulated in the homology terms provide the strict mathematical formulation of BRST extended classical field theory. The most physically relevant field theories OCo gauge theory on principal bundles, gravitation theory on natural bundles, theory of spinor fields and topological field theory OCo are presented in a complete way. This book is designed for theoreticians and mathematical physicists specializing in field theory. The authors have tried throughout to provide the necessary mathematical background, thus making the exposition self-contained.

This book presents and discusses current research in the field of quantum physics. Chapter One reviews the impact of quantum field theory on the feasibility of local causal models of quantum theory. Chapter Two examines the uncertainty principle and minimal length at all energy scales and some of its implications. Chapter Three shows that the study of graphene physics is a versatile problem, from which we can extract important lessons on condensed matter and quantum field theory, ranging from the concept of emergent phenomenology to relativistic quantum fields and Feynman propagators.