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Renormalization Group and Pade Applications to Quantum Field Theory

by Farrukh Chishtie
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Current price ₹6,274.00
Original price ₹7,140.00
Original price ₹7,140.00
Original price ₹7,140.00
(-12%)
₹6,274.00
Current price ₹6,274.00

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Book cover type: Paperback
  • ISBN13: 9783639177794
  • Binding: Paperback
  • Subject: N/A
  • Publisher: VDM Verlag
  • Publisher Imprint: VDM Verlag
  • Publication Date:
  • Pages: 172
  • Original Price: GBP 56.44
  • Language: English
  • Edition: N/A
  • Item Weight: 259 grams
  • BISAC Subject(s): Physics / General

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.

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