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. <P>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." <P>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.
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"An immense amount of valuable material on recent developments. The development of classical supersymmetry by Deligne and collaborators is careful and systematic ... masterful treatment ... the book is a magnificent achievement." ---- SIAM Review
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This review is from: Quantum Fields and Strings: A Course for Mathematicians (Paperback)
These articles are great. They do well in delineating the conceptual and rigorous frameworks of the subjects.
Included are exercises (and solutions) culminating from the problem sessions held at Quantum Field Theory program at IAS. Physicists interested in the mathematical aspects of quantum field/string theory would do well to read these volumes as well. Deserving, in my opinion, more than 5 stars -- many more!!
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This review is from: Quantum Fields and Strings: A Course for Mathematicians (Paperback)
A real book for a real mathematician. If you are a mathematician learning to apply math to quantum physics, do not go without this book series. It is exceptional!! Mathematically written with variety and depth not met in any other resource that I have seen specifically relating the two. You will not be unhappy with this, I guarantee it. <3 <3 this book series.
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First Sentence:
The ground rule of superalgebra is that all objects considered should be mod 2 graded, and that in all classical formulas, whenever the order in which two odd quantities appear is changed, a minus sign appears. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
generalized infinitesimal symmetry, quadratic vector space, scalar bosonic field, dimensional regularization prescription, dimension pjq, cutoff propagator, irreducible spinorial representations, real spinorial representation, commutative super algebra, classical moduli space, bounding spin structure, chiral map, prequantization line bundle, superspace lagrangian, super vector spaces, super manifolds, odd vector field, real spin representation, supersymmetry transformation laws, cohomological degree, principal antiautomorphism, real spinor field, bracketing relations, commutativity isomorphism, superspace formulation Key Phrases - Capitalized Phrases (CAPs): (learn more)
I-Classical Fields, Pierre Deligne, I-Renorm Groups, Joseph Bernstein, Princeton University Press, Proof of the Lemma New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The ground rule of superalgebra is that all objects considered should be mod 2 graded, and that in all classical formulas, whenever the order in which two odd quantities appear is changed, a minus sign appears. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
generalized infinitesimal symmetry, quadratic vector space, scalar bosonic field, dimensional regularization prescription, dimension pjq, cutoff propagator, irreducible spinorial representations, real spinorial representation, commutative super algebra, classical moduli space, bounding spin structure, chiral map, prequantization line bundle, superspace lagrangian, super vector spaces, super manifolds, odd vector field, real spin representation, supersymmetry transformation laws, cohomological degree, principal antiautomorphism, real spinor field, bracketing relations, commutativity isomorphism, superspace formulation Key Phrases - Capitalized Phrases (CAPs): (learn more)
I-Classical Fields, Pierre Deligne, I-Renorm Groups, Joseph Bernstein, Princeton University Press, Proof of the Lemma New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 7
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13
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- Gauge Fields: An Introduction To Quantum Theory, Second Edition (Frontiers in Physics) by L. D. Faddeev on page 530, and page 535
- Five Lectures on Supersymmetry (FLS) by Daniel S. Freed on page 355
- Lectures on Quantum Mechanics by Paul A. M. Dirac on page 544
- Mathematical Physics by L. Faddeev on page 513
- The Quantum Theory of Fields (Volume 1) by Steven Weinberg on page 433
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- Geometric Methods for Quantum Field Theory by Hernan Ocampo on page 448, and page 466
- Not Even Wrong: The Failure of String Theory and the Search for Unity in Physical Law by Peter Woit on page 137, and Back Matter
- Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics (Cambridge Monographs on Mathematical Physics) by Terry Gannon in Back Matter (1), and Back Matter (2)
- Stochastic Processes and Functional Analysis: A Volume of Recent Advances in Honor of M. M. Rao (Lecture Notes in Pure and Applied Mathematics) by Alan C. Krinik on page 115
- Noncommutative Geometry and Number Theory: Where Arithmetic meets Geometry and Physics (Aspects of Mathematics) by Caterina Consani on page 234
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