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Quantum field theory: a tourist guide for mathematicians Gerald B. Folland
Publisher: American Mathematical Society

1) Time Travel and Warp Drives: A Scientific Guide to Shortcuts Through Time and Space Everett, Allen University of Chicago Press 2012. Its central themes – which include space–time geometry and the general relativistic account of gravity, quantum field theory and the gauge theories of fundamental forces – are developed in explicit mathematical detail, with an emphasis on conceptual understanding. Theoretical work on a hypothetical particle called the axion, which may account for the mysterious dark matter in the universe. 2) The Infinity Puzzle: Quantum Field Theory and the Hunt for an Orderly Universe Close, Frank Basic Books: Perseus 2011. Gravitons are hypothetical massless elementary particles postulated by quantum physicists, because the standard model of quantum field theory does not include a complete theory of quantum gravity. List of all episodes here: Through The .. Such warps in space-time – which are known as wormholes – in theory may occur naturally in some places, and a spaceship might be able to exploit them to travel enormous distances extremely quickly. A Unified Grand Tour of Theoretical Physics invites readers on a guided exploration of the theoretical ideas that shape contemporary understanding of the physical world at the fundamental level. They are all written by experts in the given subject; the Mathematics: a very short introduction is written by the Fields Medallist and recently knighted Tim Gowers. From the reviews: "Quantum field theory combines relativity, quantum mechanics, and many-particle physics to provide a theoretical basis for the most fundamental. Differentiable manifolds : a theoretical physics approach. "Michael has done such an enormous number of things in mathematical and theoretical physics that he's one of the most highly respected people in our field," Banks said. He has also done more theoretical work, making fundamental contributions to superstring theory and quantum field theory. In this deceptively Polkinghorne then guides us through the rush of discoveries in the 1920s – including Hiesenberg's uncertainty principle, the probabilistic nature of quantum theory and superposition – as new quantum theory begins to chart these landmarks of the unknown quantum world. 3) Number-Crunching: Taming Unruly Computational Problems from Mathematical Physics to Science Fiction Nahin, Paul J.