Perturbation Theory: Advances in Research and Applications

Zossima Pirogov (Editor)

Series: Physics Research and Technology
BISAC: MAT027000



Volume 10

Issue 1

Volume 2

Volume 3

Special issue: Resilience in breaking the cycle of children’s environmental health disparities
Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick


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Perturbation Theory: Advances in Research and Applications begins with a deliberation on the development of a formalism of the Exchange perturbation theory (EPT) that accounts for the general identity principle of electrons that belong to different atomic centres. The possible applications of the theory concerning scattering and collision problems are discussed, and the authors apply the TDEPT to the description of the positron scattering on a Lithium atom as an example. Next, spin fluctuations in metallic multiband systems are discussed, including how to calculate the effect of itinerant spin excitations on the electronic properties and formulate a theory of spin fluctuation-induced superconductivity.

The function of spin-orbit coupling is emphasized. Following this, the authors review how, governed by chiral symmetry, the long- and intermediate-range parts of the $NN$ potential unfold order by order, proceeding up to sixth order where convergence is achieved. Perturbative and nonperturbative approaches to nuclear amplitude are discussed, including the implications for renormalization. Continuing, this book presents proof of the good convergence properties of the new expansions on mathematical models that simulate the physical polarization function for light quarks and its derivative (the Adler function), in various prescriptions of renormalization-group summation. An overview of the calculation of one-loop corrections to the baryon axial vector current in the large-Nc heavy baryon chiral perturbation theory is offered, where Nc is the number of color charges. The matrix elements of the space components of the renormalization of the baryon axial vector current between SU(6) symmetric states yield the values of the axial vector couplings. (Imprint: Nova)


Chapter 1. Exchange Perturbation Theory (pp. 1-60)
Elena V. Orlenko

Chapter 2. Itinerant Spin Fluctuations in Iron-Based Superconductors (pp. 61-138)
Maxim M. Korshunov

Chapter 3. Chiral Perturbation Theory and Nuclear Forces (pp. 139-210)
R. Machleidt

Chapter 4. Perturbative Expansions in QCD Improved by Conformal Mappings of the Borel Plane (pp. 211-254)
Irinel Caprini, Jan Fischer, Gauhar Abbas and B. Ananthanarayan

Chapter 5. One-Loop Corrections in the Large-Nc Heavy Baryon Chiral Perturbation Theory (pp. 255-270)
María A. Hernández-Ruiz

Index (pp. 271)

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