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

Author:   P M Stevenson (Rice Univ, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789811255687


Pages:   296
Publication Date:   21 April 2022
Format:   Hardback
Availability:   In Print   Availability explained
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Renormalized Perturbation Theory And Its Optimization By The Principle Of Minimal Sensitivity


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Overview

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.

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Author:   P M Stevenson (Rice Univ, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789811255687


ISBN 10:   9811255687
Pages:   296
Publication Date:   21 April 2022
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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