{"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","url":"https:\/\/bookhero.pro\/products\/probing-the-consistency-of-quantum-field-theory-i-by-alexander-s-blum-9781009619271","provider":"Book Hero","version":"1.0","type":"link"}