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

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.

General

Imprint:	World Scientific Publishing Co Pte Ltd
Country of origin:	Singapore
Release date:	April 2022
First published:	2022
Authors:	P M Stevenson
Format:	Hardcover
Pages:	296
ISBN-13:	978-981-12-5568-7
Categories:	Books > Science & Mathematics > Physics > Particle & high-energy physics Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	981-12-5568-7
Barcode:	9789811255687

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