{"product_id":"renormalization-group-and-pade-applications-to-quantum-field-theory-9783639177794","title":"Renormalization Group and Pade Applications to Quantum Field Theory","description":"\u003cp\u003e • Author(s): Farrukh Chishtie\u003cbr\u003e • Publisher: VDM Verlag\u003cbr\u003e • Publisher Imprint: VDM Verlag\u003cbr\u003e • BISAC: Physics - General\u003c\/p\u003e\u003cp\u003ePade 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.\u003c\/p\u003e","brand":"VDM Verlag","offers":[{"title":"Paperback","offer_id":47609628688535,"sku":"9783639177794","price":6274.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783639177794.webp?v=1775059329","url":"https:\/\/atlanticbooks.com\/products\/renormalization-group-and-pade-applications-to-quantum-field-theory-9783639177794","provider":"Atlantic Books","version":"1.0","type":"link"}