{"title":"Series: Elements in the Foundations of Contemporary Physics","description":"\u003cp\u003eThe \u003cstrong\u003eElements in the Foundations of Contemporary Physics\u003c\/strong\u003e series offers a deep exploration into the fundamental principles shaping modern scientific thought. These works invite readers to engage with the core concepts underpinning contemporary physics, blending clarity with intellectual rigour to reveal the building blocks of our understanding of the natural world.\u003c\/p\u003e\n\n\u003cp\u003eIdeal for those fascinated by the intersection of theory and reality, this collection balances insightful analysis with accessible language. It appeals not only to specialists but also to curious minds eager to grasp the essence of physics as it informs our view of the universe today.\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\/series-elements-in-the-foundations-of-contemporary-physics.oembed","provider":"Book Hero","version":"1.0","type":"link"}