{"title":"Alexander S. Blum","description":"\u003cp\u003eAlexander S. Blum's works delve into the intricate realms of theoretical physics, specialising in the fundamental principles that underpin quantum field theory. Readers can expect rigorous explorations that challenge and deepen the understanding of consistency within this pivotal scientific framework.\u003c\/p\u003e\n\n\u003cp\u003eIdeal for those with a keen interest in advanced science and nature topics, Blum’s writings combine intellectual precision with thoughtful analysis, offering valuable insights into some of the most complex questions at the frontier of modern physics.\u003c\/p\u003e","products":[{"product_id":"probing-the-consistency-of-quantum-field-theory-i-by-alexander-s-blum-9781009619271","title":"Probing the Consistency of Quantum Field Theory I","description":"\u003cdiv class=\"book-description\"\u003e\n\u003cp\u003eThis two‐volume Element reconstructs and analyses the historical debates on whether renormalised quantum field theory is a mathematically consistent theory. \u003cem\u003eProbing the Consistency of Quantum Field Theory I\u003c\/em\u003e covers the years immediately following the development of renormalised quantum electrodynamics.\u003c\/p\u003e\n\n\u003cp\u003eIt begins with the realisation that perturbation theory cannot serve as the foundation for a proof of consistency, due to the non-convergence of the perturbation series. Various attempts at a nonperturbative formulation of quantum field theory are discussed, including the Schwinger–Dyson equations, Gunnar Källén's nonperturbative renormalisation, the renormalisation group of Murray Gell-Mann and Francis Low, and, in the last section, early axiomatic quantum field theory.\u003c\/p\u003e\n\n\u003cp\u003eThe second volume of this Element covers the establishment of Haag's theorem, which proved that even the Hilbert space of perturbation theory is an inadequate foundation for a consistent theory.\u003c\/p\u003e\n\n\u003cp\u003eThis title is also available as Open Access on Cambridge Core.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Unknown","offers":[{"title":"Default Title","offer_id":47934190092524,"sku":"9781009619271","price":242.0,"currency_code":"NZD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0705\/7784\/8556\/files\/9781009619271-probing-the-consistency-of-quantum-field-theory-i.jpg?v=1783903164"},{"product_id":"probing-the-consistency-of-quantum-field-theory-i-by-alexander-s-blum-9781009265331","title":"Probing the Consistency of Quantum Field Theory I","description":"\u003cdiv class=\"book-description\"\u003e\n\u003cp\u003eThis two‐volume Element reconstructs and analyses the historical debates on whether renormalised quantum field theory is a mathematically consistent theory.\u003c\/p\u003e\n\n\u003cp\u003eThis volume covers the years immediately following the development of renormalised quantum electrodynamics. It begins with the realisation that perturbation theory cannot serve as the foundation for a proof of consistency, due to the non-convergence of the perturbation series. Various attempts at a non-perturbative formulation of quantum field theory are discussed, including the Schwinger–Dyson equations, Gunnar Källén's non-perturbative renormalisation, the renormalisation group of Murray Gell-Mann and Francis Low, and, in the last section, early axiomatic quantum field theory.\u003c\/p\u003e\n\n\u003cp\u003eThe second volume of this Element covers the establishment of Haag's theorem, which proved that even the Hilbert space of perturbation theory is an inadequate foundation for a consistent theory.\u003c\/p\u003e\n\n\u003cp\u003e\u003cem\u003eProbing the Consistency of Quantum Field Theory I\u003c\/em\u003e is also available as Open Access on Cambridge Core.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Unknown","offers":[{"title":"Default Title","offer_id":47934190190828,"sku":"9781009265331","price":83.0,"currency_code":"NZD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0705\/7784\/8556\/files\/9781009265331-probing-the-consistency-of-quantum-field-theory-i.jpg?v=1783903179"}],"url":"https:\/\/bookhero.pro\/collections\/alexander-s-blum.oembed","provider":"Book Hero","version":"1.0","type":"link"}