Quantum Fields And Strings A Course For Mathematicians
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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 | : 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 | : Hernan Ocampo |
Publisher | : Cambridge University Press |
Total Pages | : 435 |
Release | : 2010-04-29 |
Genre | : Science |
ISBN | : 113948673X |
Download Geometric and Topological Methods for Quantum Field Theory Book in PDF, Epub and Kindle
Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important results in geometric topology. It investigates the differential equation aspects of quantum cohomology, before moving on to noncommutative geometry. This is followed by a further exploration of quantum field theory and gauge theory, describing AdS/CFT correspondence, and the functional renormalization group approach to quantum gravity. The second part covers a wide spectrum of topics on the borderline of mathematics and physics, ranging from orbifolds to quantum indistinguishability and involving a manifold of mathematical tools borrowed from geometry, algebra and analysis. Each chapter presents introductory material before moving on to more advanced results. The chapters are self-contained and can be read independently of the rest.
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 | : 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 | : Brian Hatfield |
Publisher | : CRC Press |
Total Pages | : 474 |
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. The emphasis of the book is calculational, and most computations are presented in step-by-step detail. The book is unique in that it develops all three representations of quantum field theory (operator, functional Schr dinger, and path integral) for point particles and strings. In many cases, identical results are worked out in each representation to emphasize the representation-independent structures of quantum field theory
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 | : Michael Spivak |
Publisher | : |
Total Pages | : 733 |
Release | : 2010 |
Genre | : Mechanics |
ISBN | : 9780914098324 |
Download Physics for Mathematicians Book in PDF, Epub and Kindle
Author | : Barton Zwiebach |
Publisher | : Cambridge University Press |
Total Pages | : 697 |
Release | : 2009-01-22 |
Genre | : Science |
ISBN | : 1139643916 |
Download A First Course in String Theory Book in PDF, Epub and Kindle
String theory made understandable. Barton Zwiebach is once again faithful to his goal of making string theory accessible to undergraduates. He presents the main concepts of string theory in a concrete and physical way to develop intuition before formalism, often through simplified and illustrative examples. Complete and thorough in its coverage, this new edition now includes AdS/CFT correspondence and introduces superstrings. It is perfectly suited to introductory courses in string theory for students with a background in mathematics and physics. New sections cover strings on orbifolds, cosmic strings, moduli stabilization, and the string theory landscape. Now with almost 300 problems and exercises, with password-protected solutions for instructors at www.cambridge.org/zwiebach.
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.