Renormalized Perturbation Theory And Its Optimization By The Principle Of Minimal Sensitivity
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A01=P M Stevenson
Author_P M Stevenson
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Non-Invariant Approximations
Optimized Perturbation Theory
Principle of Minimal Sensitivity
QCD (Quantum Chromodynamics)
Quantum Field Theory
Renormalization Ambiguities
Renormalization Scheme Dependence
Renormalized Perturbation Theory
Product details
- ISBN 9789811255687
- Publication Date: 21 Apr 2022
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
