Renormalized Perturbation Theory And Its Optimization By The Principle Of Minimal Sensitivity - Image 1

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World Scientific Publishing Company Renormalized Perturbation Theory And Its Optimization By The Principle Of Minimal Sensitivity

Name: Renormalized Perturbation Theory And Its Optimization By The Principle Of Minimal Sensitivity
Brand: World Scientific Publishing Company
Price: 67.32 GBP
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Mathematical

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Description

The results of renormalized perturbation theory, in QCD and other quantum field theories, are ambiguous at any finite order, due to renormalization-scheme dependence. The perturbative results depend upon extraneous scheme variables, including the renormalization scale, that the exact result cannot depend on. Such "non-invariant approximations" occur in many other areas of physics, too. The sensible strategy is to find where the approximant is stationary under small variations of the extraneous variables. This general principle is explained and illustrated with various examples. Also dimensional transmutation, RG equations, the essence of renormalization and the origin of its ambiguities are explained in simple terms, assuming little or no background in quantum field theory. The minimal-sensitivity approach leads to "optimized perturbation theory," which is developed in detail. Applications to Re⁺e⁻, the infrared limit, and to the optimization of factorized quantities, are also discussed thoroughly.

Product Specifications

Brand: World Scientific Publishing Company
Format: hardcover
ASIN: 9811255687
Category: Books > Subjects > Science, Nature & Maths > Physics > Mathematical
Domain: Amazon UK
Release Date: 25 March 2022
Listed Since: 09 February 2022

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World Scientific Publishing Company Renormalized Perturbation Theory And Its Optimization By The Principle Of Minimal Sensitivity

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