TY - BOOK ID - 80820563 TI - Geometric and topological methods for quantum field theory AU - Ocampo, Hernan AU - Pariguan, Eddy AU - Paycha, Sylvie PY - 2010 SN - 9780511712135 9780521764827 9780511712883 051171288X 0521764823 9781282637252 1282637258 1107208602 9786612637254 0511713711 0511714971 0511716214 0511712138 0511723024 PB - Cambridge Cambridge University Press DB - UniCat KW - Geometry, Differential. KW - Quantum theory. KW - Quantum dynamics KW - Quantum mechanics KW - Quantum physics KW - Physics KW - Mechanics KW - Thermodynamics KW - Differential geometry UR - https://www.unicat.be/uniCat?func=search&query=sysid:80820563 AB - 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. ER -