Renormalized Perturbation Theory And Its Optimization By The Principle Of Minimal Sensitivity
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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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company
2022.
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| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009746506406719 |
Tabla de Contenidos:
- 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.
