{"product_id":"renormalization-group-and-pade-applications-farrukh-chishtie-9783639177794","title":"Renormalization Group and Pade Applications to Quantum Field Theory","description":"Pade approximants (PA) have been widely applied in practically all areas of physics. This work focuses on developing PA as tools for both perturbative and non-perturbative Quantum Field Theory (QFT). In perturbative QFT, a systematic estimation of higher (unknown) loop terms via asymptotic Pade approximation procedure (APAP) is established and enhanced by application to renormalization-group-(RG-)invariant quantities. This methodology is applied to hadronic Higgs decay rates (both within the Standard Model and its MSSM extension), Higgs-sector cross-sections, inclusive semileptonic decays, QCD (Quantum Chromodynamics) correlation functions and the QCD static potential. APAP is also applied directly to RG functions in massive phi-4 theory. In non-perturbative QFT Pade summation methods are employed to probe the large coupling regions of QCD. In analysing all the possible Pade-approximants to truncated Beta-function for QCD, the singularity structure corresponding to the all-orders Beta-function is analyzed. Noting the consistent ordering of poles and roots for such approximants, these are found free of defective (pole) behaviour and physical conclusions are then drawn.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Farrukh Chishtie\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3639177797\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783639177794\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e VDM Verlag\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/05\/2009\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 172\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.57lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.40d","brand":"Farrukh Chishtie","offers":[{"title":"Paperback","offer_id":47305525395711,"sku":"9783639177794","price":73.44,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_3418b968-c78e-4723-bd48-066ab94ce4de.jpg?v=1758831120","url":"https:\/\/www.whiterainbookhouse.com\/products\/renormalization-group-and-pade-applications-farrukh-chishtie-9783639177794","provider":"WR Book House","version":"1.0","type":"link"}