Renormalized Perturbation Theory And Its Optimization By The Principle Of Minimal Sensitivity / / P. M. Stevenson.
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 d...
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| Place / Publishing House: | Singapore : : World Scientific Publishing Company,, 2022. |
| Year of Publication: | 2022 |
| Language: | English |
| Physical Description: | 1 online resource (296 pages) |
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Table of Contents:
- Introduction
- Dimensional analysis in quantum field theory
- Renormalization as reparametrization
- Non-invariant approximations and the principle of minimal sensitivity
- Induced convergence
- Preliminaries : RG invariance, int-[beta] equation, [lambda with superscript] definition, and CG relation
- Parametization of RS dependence and the [correlation p subscript n] invariants
- Finite orders and optimization
- Solution for the optimized [r subscript m] coefficients and optimization algorithm
- Numerical examples for [R subscript e⁺e⁻] in QCD
- Infrared limit : fixed and unfixed points
- Optimization of factorized quantities
- Exploring all-orders OPT in the small-b (BZ) limit.