Quantum Fields And Strings A Course For Mathematicians PDF Download
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| Author | : Pierre Deligne |
| Publisher | : American Mathematical Society |
| Total Pages | : 801 |
| Release | : 1999-10-25 |
| Genre | : Mathematics |
| ISBN | : 0821820133 |
Download Quantum Fields and Strings: A Course for Mathematicians Book in PDF, ePub and Kindle
A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opportunity to learn about the beautiful and difficult subjects of quantum field theory and string theory. Cover features an intriguing cartoon that will bring a smile to its intended audience.
| Author | : PIERRE DELIGNE |
| Publisher | : |
| Total Pages | : 1501 |
| Release | : 1999-12-31 |
| Genre | : Science |
| ISBN | : 9780821820148 |
Download QUANTUM FIELDS AND STRINGS Book in PDF, ePub and Kindle
Ideas from quantum field theory and string theory have had considerable impact on mathematics over the past 20 years. Advances in many different areas have been inspired by insights from physics. In 1996-97 the Institute for Advanced Study (Princeton, NJ) organized a special year-long program designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. The purpose is eloquently stated in a letter written by Robert MacPherson: ``The goal is to create and convey an understanding, in terms congenial to mathematicians, of some fundamental notions of physics ... [and to] develop the sort of intuition common among physicists for those who are used to thought processes stemming from geometry and algebra.'' These volumes are a written record of the program. They contain notes from several long and many short courses covering various aspects of quantum field theory and perturbative string theory. The courses were given by leading physicists and the notes were written either by the speakers or by mathematicians who participated in the program. The book also includes problems and solutions worked out by the editors and other leading participants. Interspersed are mathematical texts with background material and commentary on some topics covered in the lectures. These two volumes present the first truly comprehensive introduction to this field aimed at a mathematics audience. They offer a unique opportunity for mathematicians and mathematical physicists to learn about the beautiful and difficult subjects of quantum field theory and string theory.
| Author | : Daniel S. Freed |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 476 |
| Release | : 1995 |
| Genre | : Science |
| ISBN | : 9780821886830 |
Download Geometry and Quantum Field Theory Book in PDF, ePub and Kindle
The first title in a new series, this book explores topics from classical and quantum mechanics and field theory. The material is presented at a level between that of a textbook and research papers making it ideal for graduate students. The book provides an entree into a field that promises to remain exciting and important for years to come.
| Author | : Gerald B. Folland |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 325 |
| Release | : 2021-02-03 |
| Genre | : Education |
| ISBN | : 1470464837 |
Download Quantum Field Theory: A Tourist Guide for Mathematicians Book in PDF, ePub and Kindle
Quantum field theory has been a great success for physics, but it is difficult for mathematicians to learn because it is mathematically incomplete. Folland, who is a mathematician, has spent considerable time digesting the physical theory and sorting out the mathematical issues in it. Fortunately for mathematicians, Folland is a gifted expositor. The purpose of this book is to present the elements of quantum field theory, with the goal of understanding the behavior of elementary particles rather than building formal mathematical structures, in a form that will be comprehensible to mathematicians. Rigorous definitions and arguments are presented as far as they are available, but the text proceeds on a more informal level when necessary, with due care in identifying the difficulties. The book begins with a review of classical physics and quantum mechanics, then proceeds through the construction of free quantum fields to the perturbation-theoretic development of interacting field theory and renormalization theory, with emphasis on quantum electrodynamics. The final two chapters present the functional integral approach and the elements of gauge field theory, including the Salam–Weinberg model of electromagnetic and weak interactions.
| Author | : Leon Armenovich Takhtadzhi͡an |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 410 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 0821846302 |
Download Quantum Mechanics for Mathematicians Book in PDF, ePub and Kindle
Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin.
| Author | : Brian C. Hall |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 566 |
| Release | : 2013-06-19 |
| Genre | : Science |
| ISBN | : 1461471168 |
Download Quantum Theory for Mathematicians Book in PDF, ePub and Kindle
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
| Author | : Brian Hatfield |
| Publisher | : CRC Press |
| Total Pages | : 756 |
| Release | : 2018-03-09 |
| Genre | : Science |
| ISBN | : 0429972865 |
Download Quantum Field Theory Of Point Particles And Strings Book in PDF, ePub and Kindle
First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.
| Author | : Michael Spivak |
| Publisher | : |
| Total Pages | : 733 |
| Release | : 2010 |
| Genre | : Mechanics |
| ISBN | : 9780914098324 |
Download Physics for Mathematicians Book in PDF, ePub and Kindle
| Author | : Clay Mathematics Institute. Summer School |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 396 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 9780821837153 |
Download Strings and Geometry Book in PDF, ePub and Kindle
Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform.
| Author | : Daniel S. Freed |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 186 |
| Release | : 2019-08-23 |
| Genre | : Algebraic topology |
| ISBN | : 1470452065 |
Download Lectures on Field Theory and Topology Book in PDF, ePub and Kindle
These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.
