Applied Asymptotic Expansions in Momenta and Masses

• Κύριος συγγραφέας: Smirnov, Vladimir A. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Έκδοση: 1st ed. 2002.
• Σειρά: Springer Tracts in Modern Physics, 177
• Θέματα: Elementary particles (Physics).; Quantum field theory.; Quantum physics.; Quantum computers.; Spintronics.; Physics.; Elementary Particles, Quantum Field Theory.; Quantum Physics.; Quantum Information Technology, Spintronics.; Mathematical Methods in Physics.; Numerical and Computational Physics, Simulation.

 The book presents asymptotic expansions of Feynman integrals in various limits of momenta and masses, and their applications to problems of physical interest. The problem of expansion is systematically solved by formulating universal prescriptions that express terms of the expansion using the original Feynman integral with its integrand expanded into a Taylor series in appropriate momenta and masses. Knowledge of the structure of the asymptotic expansion at the diagrammatic level is key in understanding how to perform expansions at the operator level. Most typical examples of these expansions are presented: the operator product expansion, the large-mass expansion, Heavy Quark Effective Theory, and Non-Relativistic QCD. 

 Feynman Integrals: a Brief Review -- Why, Where and How to Expand -- Off-Shell Large-Momentum Expansion -- Large-Mass Expansion -- Threshold Expansion. One Heavy Mass in the Threshold -- Threshold Expansion. Two Masses in the Threshold -- Sudakov Limits -- Conclusion -- Tables -- Technical Details: Convergence and Asymptotic Behaviour.