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This volume contains articles related to the conference ``Motives, Quantum Field Theory, and Pseudodifferntial Operators'' held at Boston University in June 2008, with partial support from the Clay Mathematics Institute, Boston University, and the National Science Foundation. There are deep but only partially understood connections between the three conference fields, so this book is intended both to explain the known connections and to offer directions for further research. In keeping with the organization of the conference, this book contains introductory lectures on each of the conference themes and research articles on current topics in these fields. The introductory lectures are suitabl...
This volume explains how knot theory and Feynman diagrams can be used to illuminate problems in quantum field theory. The author emphasizes how new discoveries in mathematics have inspired conventional calculational methods for perturbative quantum field theory to become more elegant and potentially more powerful methods. The material illustrates what may possibly be the most productive interface between mathematics and physics. As a result, it will be of interest to graduate students and researchers in theoretical and particle physics as well as mathematics.
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This textbook on Feynman integrals starts from the basics, requiring only knowledge of special relativity and undergraduate mathematics. Feynman integrals are indispensable for precision calculations in quantum field theory. At the same time, they are also fascinating from a mathematical point of view. Topics from quantum field theory and advanced mathematics are introduced as needed. The book covers modern developments in the field of Feynman integrals. Topics included are: representations of Feynman integrals, integration-by-parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, coactions and symbols, cluster algebras, elliptic Fey...
This is no ordinary true crime book. If you think you've got the stomach for the most blood-curdling, sickening and downright strangest murders you will ever come across, then look no further than these pages. You have been warned...Take, for example, Enriqueta Marti who kidnapped children from the streets of Barcelona, then boiled away their flesh and crushed their bones for ingredients for her coveted 'magic potions'. Or take Randy Kraft, known as The Scorecard Killer, a computer genius by day and a a deranged psychopath by night. Finally arrested with a corpse slumped in the passenger seat of his car, it emerged that Kraft had spent over a decade cutting up and disposing of his numerous v...
Facts are and must be the coin of the realm in a democracy, for government "of the people, by the people and for the people," requires and assumes to some extent an informed citizenry. Unfortunately, for citizens in the United States and throughout the world, distinguishing between fact and fiction has always been a formidable challenge, often with real life and death consequences. But now it is more difficult and confusing than ever. The Internet Age makes comment indistinguishable from fact, and erodes authority. It is liberating but annihilating at the same time. For those wielding power, whether in the private or the public sector, the increasingly sophisticated control of information is...