{"product_id":"quantum-fields-and-processes-a-combinatorial-approach-hardback-9781108416764","title":"Quantum Fields and Processes; A Combinatorial Approach (Hardback) 9781108416764","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eQuantum Fields and Processes\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Combinatorial Approach\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eDo quantum field theory without Feynman diagrams! Use the combinatorics behind cumulants, correlations, Green's functions and quantum fields.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJohn Gough (Author), Joachim Kupsch (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108416764, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 12 April 2018\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e338 pages\u003cbr\u003e23.4 x 15.5 x 2.4 cm, 0.62 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'This book offers an excellent account of the probabilistic aspects of quantum theory, focused on the interplay between quantum field theory and quantum stochastic calculus. The text is highly accessible thanks to the careful choice of topics and the systematic use of elegant combinatorial and algebraic methods. This makes the book suitable for graduate level teaching and self-study. I highly recommend it as a timely addition to the classical literature on quantum probability.' Madalin Guta, University of Nottingham\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eWick ordering of creation and annihilation operators is of fundamental importance for computing averages and correlations in quantum field theory and, by extension, in the Hudson–Parthasarathy theory of quantum stochastic processes, quantum mechanics, stochastic processes, and probability. This book develops the unified combinatorial framework behind these examples, starting with the simplest mathematically, and working up to the Fock space setting for quantum fields. Emphasizing ideas from combinatorics such as the role of lattice of partitions for multiple stochastic integrals by Wallstrom–Rota and combinatorial species by Joyal, it presents insights coming from quantum probability. It also introduces a 'field calculus' which acts as a succinct alternative to standard Feynman diagrams and formulates quantum field theory (cumulant moments, Dyson–Schwinger equation, tree expansions, 1-particle irreducibility) in this language. Featuring many worked examples, the book is aimed at mathematical physicists, quantum field theorists, and probabilists, including graduate and advanced undergraduate students.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Notation\u003cbr\u003e 1. Introduction to combinatorics\u003cbr\u003e 2. Probabilistic Moments and Cumulants\u003cbr\u003e 3. Quantum probability\u003cbr\u003e 4. Quantum fields\u003cbr\u003e 5. Combinatorial species\u003cbr\u003e 6. Combinatorial aspects of quantum fields: Feynman diagrams\u003cbr\u003e 7. Entropy, large deviations and legendre transforms\u003cbr\u003e 8. Introduction to Fock spaces\u003cbr\u003e 9. Operators and fields on the Boson Fock space\u003cbr\u003e 10. L2-representations of the Boson Fock space\u003cbr\u003e 11. Local fields on the Boson Fock space: free fields\u003cbr\u003e 12. Local fields on the Boson Fock space: interacting fields\u003cbr\u003e 13. Quantum stochastic calculus\u003cbr\u003e 14. Quantum stochastic limits\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Stochastics [\u003ca title=\"See our other books on Stochastics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Stochastics%20%5BPBWL%5D%22\"\u003ePBWL\u003c\/a\u003e], Probability \u0026amp; statistics [\u003ca title=\"See our other books on Probability \u0026amp; statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Probability%20\u0026amp;%20statistics%20%5BPBT%5D%22\"\u003ePBT\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46004178551064,"sku":"9781108416764","price":58.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108416764i_adb5f31d-c28a-481c-904a-c0fe99255b58.jpg?v=1696753918","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/quantum-fields-and-processes-a-combinatorial-approach-hardback-9781108416764","provider":"Freshly Printed Books","version":"1.0","type":"link"}