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

Quantum field theory is the most successful physical theory ever, encompassing all known nuclear interactions and electromagnetism, and it has many more successful predictions and experimental tests than general relativity, so it is apparent that general relativity needs modification to was falsified by the fact that, although the total mass-energy is then conserved, the resulting Schroedinger equation permits an initially localised electron to travel faster than light! Of the things I've looked at, Folland's “QFT: A tourist guide for mathematicians” is the best I've seen along these lines. Answers.com · Houghton Mifflin Guide to Science & Technology: His student years (1923-1926) at Cambridge saw the emergence of the mathematical formulation of modern atomic physics in the hands of Louis de Broglie, Werner Heisenberg, Erwin Schrödinger, and Max Born. List of all episodes here: Through The .. 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. 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. Quantum Field Theory: A Tourist Guide for Mathematicians. 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. The initial plan is to start with the fermionic oscillator, move on to path integrals, then relativity, the Dirac equation, and U(1) gauge theory (E and M), ending up with some very basic quantum field theory (non-interacting fields). He quantized the gravitational field, and developed a general theory of quantum field theories with dynamical constraints, which forms the basis of the gauge theories and superstring theories of today. We'll see how that turns out and at what point I run out of energy .. 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.