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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Perturbative Algebraic Quantum Field Theory - An Introduction for Mathematicians (Hardcover, 1st ed. 2016)
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Perturbative Algebraic Quantum Field Theory - An Introduction for Mathematicians (Hardcover, 1st ed. 2016)
Series: Mathematical Physics Studies
Expected to ship within 10 - 15 working days
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Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of
this book, is a complete and mathematically rigorous treatment of
perturbative quantum field theory (pQFT) that doesn't require the
use of divergent quantities and works on a large class of Lorenzian
manifolds. We discuss in detail the examples of scalar fields,
gauge theories and the effective quantum gravity. pQFT models
describe a wide range of physical phenomena and have remarkable
agreement with experimental results. Despite this success, the
theory suffers from many conceptual problems. pAQFT is a good
candidate to solve many, if not all, of these conceptual problems.
Chapters 1-3 provide some background in mathematics and physics.
Chapter 4 concerns classical theory of the scalar field, which is
subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge
theory and chapter 8 discusses effective quantum gravity. The book
aims to be accessible to researchers and graduate students, who are
interested in the mathematical foundations of pQFT.
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