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Over the past few decades, in concert with ground-breaking experimental advances, condensed matter theory has drawn increasingly from the language of low-energy quantum field theory. This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. It emphasizes the development of modern methods of classical and quantum field theory with applications oriented around condensed matter physics. Topics covered include second quantization, path and functional field integration, mean-field theory and collective phenomena, the renormalization group, and topology. Conceptual aspects and formal methodology are emphasized, but the discussion is rooted firmly in practical experimental application. As well as routine exercises, the text includes extended and challenging problems, with fully worked solutions, designed to provide a bridge between formal manipulations and research-oriented thinking. This book will complement graduate level courses on theoretical quantum condensed matter physics.
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This book contains write-ups of lectures from a summer school for advanced graduate students in elementary particle physics. In the first lecture, Scott Willenbrock gives an overview of the standard model of particle physics. This is followed by reviews of specific areas of standard model physics : precision electroweak analysis by James Wells, quantum chromodynamics and jets by George Sterman, and heavy quark effective field by Matthias Neubert. Developments in neutrino physics are discussed by Andre de Gouvea and the theory behind the Higgs boson is addressed by Laura Reina. Collider phenomenology from both experimental and theoretical perspectives are highlighted by Heidi Schellman and Tao Han. A brief survey of dynamical electroweak symmetry breaking is provided by R Sekhar Chivukula and Elizabeth H Simmons. Martin Schmaltz covers the recent proposals for "little" Higgs theories. Markus Luty describes what is needed to make supersymmetric theories realistic by breaking supersymmetry. There is an entire series of lectures by Raman Sundrum, Graham Kribs, and Csaba Csaki on extra dimensions. Finally, Keith Olive completes the book with a review of astrophysics.
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Gauge fields (Physics) --- Champs de jauge (Physique) --- Congresses --- Congrès --- Field theory (Physics) --- Nuclear spin --- Gauge fields (Physics) - Congresses --- Field theory (Physics) - Congresses --- Nuclear spin - Congresses
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Condensed matter --- Field theory (Physics) --- Matière condensée --- Champs, Théorie des (Physique)
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The contributions in this volume are written by well-known specialists in the fields of mechanics, materials modeling and analysis. They comprehensively address the core issues and present the latest developments in these and related areas. In particular, the book demonstrates the breadth of current research activity in continuum mechanics. A variety of theoretical, computational, and experimental approaches are reported, covering finite elasticity, vibration and stability, and mechanical modeling. The coverage reflects the extent and impact of the research pursued by Professor Haseganu and h
Continuum mechanics. --- Mechanics. --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Haseganu, Eliza M.
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This unique book describes quantum field theory completely within the context of path integrals. With its utility in a variety of fields in physics, the subject matter is primarily developed within the context of quantum mechanics before going into specialized areas.Adding new material keenly requested by readers, this second edition is an important expansion of the popular first edition. Two extra chapters cover path integral quantization of gauge theories and anomalies, and a new section extends the supersymmetry chapter, where singular potentials in supersymmetric systems are described.
Path integrals. --- Quantum field theory. --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Integrals, Path --- Integrals --- Probabilities --- Statistical physics
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Il libro propone un corso base di algebra per gli studenti universitari, strutturato in base ai nuovi ordinamenti. Temi quali gruppi, anelli e campi sono dapprima introdotti attraverso esempi semplici (così come numeri, polinomi e permutazioni) e sono successivamente discussi in modo approfondito nella seconda parte del libro. Vengono anche trattate temi come applicazioni alla crittografia, codici, informatica, fornendo anche cenni storici. Il volume mira ad offrire un'introduzione all'algebra in modo schematico e facilmente comprensibile.
Algebra - Textbooks. --- Algebra. --- Algebra --- Mathematics --- Physical Sciences & Mathematics --- Field theory (Physics) --- Mathematics. --- Math --- Classical field theory --- Continuum physics --- Associative rings. --- Rings (Algebra). --- Field theory (Physics). --- Mathematics, general. --- Associative Rings and Algebras. --- Field Theory and Polynomials. --- Science --- Mathematical analysis --- Physics --- Continuum mechanics --- Algebraic rings --- Ring theory --- Algebraic fields --- Rings (Algebra)
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The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions and algebraic geometry. The main focus of the second volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, diophantine dimensions of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory. Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students. From Reviews of the German version: This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the framework of the development of carefully selected problems. - Stefan Porubsky, Mathematical Reviews.
Algebra --- Algebraic fields --- Galois theory --- Algebra. --- Field theory (Physics). --- Number theory. --- Field Theory and Polynomials. --- Commutative Rings and Algebras. --- Number Theory. --- Number study --- Numbers, Theory of --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Mathematics --- Mathematical analysis --- Field theory (Physics) --- Commutative algebra. --- Commutative rings. --- Rings (Algebra) --- Algebra - Textbooks --- Algebraic fields - Textbooks --- Galois theory - Textbooks --- Algebra - Problems, exercises, etc
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