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Author: Andrzej J. Buras Publisher: Cambridge University Press ISBN: 1107034035 Category : Science Languages : en Pages : 739
Book Description
"The ultimate question of elementary particle physics is: What is the fundamental Lagrangian of nature surrounding us? The Lagrangian of the SM is very successful in describing nature at the currently available energy range. The discovery of the Higgs boson completed the particle spectrum of the SM and it is another proof of how well the SM works. Nevertheless the SM cannot be the end of the story and it is for sure not the fundamental Lagrangian of nature. The Lagrangian of the SM looses its validity at the latest at the Planck scale where gravitational effects become noticeable.Most physicists think of the SM as an effective theory that has to be replaced by a more fundamental theory above the TeV scale. What the word effective really means will hopefully be clear at later stages of our book. For the time being we will list some problems and open questions of the SM"--
Author: Andrzej J. Buras Publisher: Cambridge University Press ISBN: 1107034035 Category : Science Languages : en Pages : 739
Book Description
"The ultimate question of elementary particle physics is: What is the fundamental Lagrangian of nature surrounding us? The Lagrangian of the SM is very successful in describing nature at the currently available energy range. The discovery of the Higgs boson completed the particle spectrum of the SM and it is another proof of how well the SM works. Nevertheless the SM cannot be the end of the story and it is for sure not the fundamental Lagrangian of nature. The Lagrangian of the SM looses its validity at the latest at the Planck scale where gravitational effects become noticeable.Most physicists think of the SM as an effective theory that has to be replaced by a more fundamental theory above the TeV scale. What the word effective really means will hopefully be clear at later stages of our book. For the time being we will list some problems and open questions of the SM"--
Author: Walter Greiner Publisher: Springer Science & Business Media ISBN: 3662033232 Category : Science Languages : en Pages : 406
Book Description
Gauge Theory of Weak Interactions treats the unification of electromagnetic and weak interactions and considers related phenomena. First, the Fermi theory of beta decay is presented, followed by a discussion of parity violation, clarifying the importance of symmetries. Then the concept of a spontaneously broken gauge theory is introduced, and all necessary mathematical tools are carefully developed. The "standard model" of unified electroweak interactions is thoroughly discussed including current developments. The final chapter contains an introduction to unified theories of strong and electroweak interactions. Numerous solved examples and problems make this volume uniquely suited as a text for an advanced course. This second edition has been corrected and is presented in a new cover and format.
Author: Chris Quigg Publisher: Princeton University Press ISBN: 0691135487 Category : Science Languages : en Pages : 496
Book Description
A thoroughly revised edition of a landmark textbook on gauge theories and their applications to particle physics This completely revised and updated graduate-level textbook is an ideal introduction to gauge theories and their applications to high-energy particle physics, and takes an in-depth look at two new laws of nature—quantum chromodynamics and the electroweak theory. From quantum electrodynamics through unified theories of the interactions among leptons and quarks, Chris Quigg examines the logic and structure behind gauge theories and the experimental underpinnings of today's theories. Quigg emphasizes how we know what we know, and in the era of the Large Hadron Collider, his insightful survey of the standard model and the next great questions for particle physics makes for compelling reading. The brand-new edition shows how the electroweak theory developed in conversation with experiment. Featuring a wide-ranging treatment of electroweak symmetry breaking, the physics of the Higgs boson, and the importance of the 1-TeV scale, the book moves beyond established knowledge and investigates the path toward unified theories of strong, weak, and electromagnetic interactions. Explicit calculations and diverse exercises allow readers to derive the consequences of these theories. Extensive annotated bibliographies accompany each chapter, amplify points of conceptual or technical interest, introduce further applications, and lead readers to the research literature. Students and seasoned practitioners will profit from the text's current insights, and specialists wishing to understand gauge theories will find the book an ideal reference for self-study. Brand-new edition of a landmark text introducing gauge theories Consistent attention to how we know what we know Explicit calculations develop concepts and engage with experiment Interesting and diverse problems sharpen skills and ideas Extensive annotated bibliographies
Author: Jan Leeuwen Publisher: Springer Science & Business Media ISBN: 3540678239 Category : Computers Languages : en Pages : 633
Book Description
This book constitutes the refereed proceedings of the International Conference IFIP TCS 2000 held in Sendai, Japan in August 2000. The 32 revised full papers presented together with nine invited contributions were carefully reviewed and selected from a total of 70 submissions. The papers are organized in two tracks on algorithms, complexity, and models of computation and on logics, semantics, specification, and verification. The book is devoted to exploring new frontiers of theoretical informatics and addresses all current topics in theoretical computer science.
Author: Wolfgang Arendt Publisher: Springer Nature ISBN: 303113379X Category : Mathematics Languages : en Pages : 463
Book Description
This textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from the physical sciences, engineering, and economics complete this integrated approach. A showcase of models begins the book, demonstrating how PDEs arise in practical problems that involve heat, vibration, fluid flow, and financial markets. Several important characterizing properties are used to classify mathematical similarities, then elementary methods are used to solve examples of hyperbolic, elliptic, and parabolic equations. From here, an accessible introduction to Hilbert spaces and the spectral theorem lay the foundation for advanced methods. Sobolev spaces are presented first in dimension one, before being extended to arbitrary dimension for the study of elliptic equations. An extensive chapter on numerical methods focuses on finite difference and finite element methods. Computer-aided calculation with MapleTM completes the book. Throughout, three fundamental examples are studied with different tools: Poisson’s equation, the heat equation, and the wave equation on Euclidean domains. The Black–Scholes equation from mathematical finance is one of several opportunities for extension. Partial Differential Equations offers an innovative introduction for students new to the area. Analytical and numerical tools combine with modeling to form a versatile toolbox for further study in pure or applied mathematics. Illuminating illustrations and engaging exercises accompany the text throughout. Courses in real analysis and linear algebra at the upper-undergraduate level are assumed.
Author: Gabriela Marinoschi Publisher: Springer Nature ISBN: 3031245830 Category : Mathematics Languages : en Pages : 223
Book Description
This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals. The author demonstrates how this method can be utilized as a convenient tool for proving the existence of these solutions when others may fail, such as in cases of evolution equations with nonautonomous operators, with low regular data, or with singular diffusion coefficients. By reducing it to a minimization problem, the original problem is transformed into an optimal control problem with a linear state equation. This procedure simplifies the proof of the existence of minimizers and, in particular, the determination of the first-order conditions of optimality. The dual variational formulation is illustrated in the text with specific diffusion equations that have general nonlinearities provided by potentials having various stronger or weaker properties. These equations can represent mathematical models to various real-world physical processes. Inverse problems and optimal control problems are also considered, as this technique is useful in their treatment as well.
Author: Andrzej J. Buras
Author: Andrzej J. Buras
Author: Walter Greiner
Author: Steffen Schulz
Author: 
Author: Chris Quigg
Author: 
Author: Jan Leeuwen
Author: Wolfgang Arendt
Author: United States. Commission to investigate the affairs of the Red Cloud Indian agency
Author: Gabriela Marinoschi