{"product_id":"what-is-a-quantum-field-theory-hardback-9781316510278","title":"What Is a Quantum Field Theory? (Hardback) 9781316510278","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eWhat Is a Quantum Field Theory?\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA lively and erudite introduction for readers with a background in undergraduate mathematics but no previous knowledge of physics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eMichel Talagrand (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781316510278, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 17 March 2022\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e756 pages\u003cbr\u003e25 x 17.4 x 4.2 cm, 1.41 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'The text has many exercises and sixteen (!) appendices from which one can learn quite a bit. This shows the dedication of the author to the subject and his wish to share his knowledge with others. The book hits the point between mathematics and physics where the first is not too abstract and the second not too phenomenological … In short, the book is exceptional and might set standards.' Marek Nowakowski, MathSciNet\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eQuantum field theory (QFT) is one of the great achievements of physics, of profound interest to mathematicians. Most pedagogical texts on QFT are geared toward budding professional physicists, however, whereas mathematical accounts are abstract and difficult to relate to the physics. This book bridges the gap. While the treatment is rigorous whenever possible, the accent is not on formality but on explaining what the physicists do and why, using precise mathematical language. In particular, it covers in detail the mysterious procedure of renormalization. Written for readers with a mathematical background but no previous knowledge of physics and largely self-contained, it presents both basic physical ideas from special relativity and quantum mechanics and advanced mathematical concepts in complete detail. It will be of interest to mathematicians wanting to learn about QFT and, with nearly 300 exercises, also to physics students seeking greater rigor than they typically find in their courses. Erratum for the book can be found at michel.talagrand.net\/erratum.pdf.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction\u003cbr\u003e Part I. Basics: 1. Preliminaries\u003cbr\u003e 2. Basics of non-relativistic quantum mechanics\u003cbr\u003e 3. Non-relativistic quantum fields\u003cbr\u003e 4. The Lorentz group and the Poincaré group\u003cbr\u003e 5. The massive scalar free field\u003cbr\u003e 6. Quantization\u003cbr\u003e 7. The Casimir effect\u003cbr\u003e Part II. Spin: 8. Representations of the orthogonal and the Lorentz group\u003cbr\u003e 9. Representations of the Poincaré group\u003cbr\u003e 10. Basic free fields\u003cbr\u003e Part III. Interactions: 11. Perturbation theory\u003cbr\u003e 12. Scattering, the scattering matrix and cross sections\u003cbr\u003e 13. The scattering matrix in perturbation theory\u003cbr\u003e 14. Interacting quantum fields\u003cbr\u003e Part IV. Renormalization: 15. Prologue – power counting\u003cbr\u003e 16. The Bogoliubov-Parasiuk-Hepp-Zimmermann scheme\u003cbr\u003e 17. Counter-terms\u003cbr\u003e 18. Controlling singularities\u003cbr\u003e 19. Proof of convergence of the BPHZ scheme.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\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":46000404824344,"sku":"9781316510278","price":65.26,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781316510278i.jpg?v=1696681544","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/what-is-a-quantum-field-theory-hardback-9781316510278","provider":"Freshly Printed Books","version":"1.0","type":"link"}