Chiral Perturbation Theory at NNNLO
Chiral perturbation theory is a much successful effective field theory of quantum chromodynamics at low energies. The effective Lagrangian is constructed systematically order by order in powers of the momentum <inline-formula><math display="inline"><semantics><msup>...
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doaj-0b27b98aa49148559792506c4ee30f582020-11-25T03:48:30ZengMDPI AGSymmetry2073-89942020-07-01121262126210.3390/sym12081262Chiral Perturbation Theory at NNNLONils Hermansson-Truedsson0Institute for Theoretical Physics, Albert Einstein Center for Fundamental Physics, Universität Bern, Sidlerstrasse 5, 3012 Bern, SwitzerlandChiral perturbation theory is a much successful effective field theory of quantum chromodynamics at low energies. The effective Lagrangian is constructed systematically order by order in powers of the momentum <inline-formula><math display="inline"><semantics><msup><mi>p</mi><mn>2</mn></msup></semantics></math></inline-formula>, and until now the leading order (LO), next-to leading order (NLO), next-to-next-to leading order (NNLO) and next-to-next-to-next-to leading order (NNNLO) have been studied. In the following review we consider the construction of the Lagrangian and in particular focus on the NNNLO case. We in addition review and discuss the pion mass and decay constant at the same order, which are fundamental quantities to study for chiral perturbation theory. Due to the large number of terms in the Lagrangian and hence low energy constants arising at NNNLO, some remarks are made about the predictivity of this effective field theory.https://www.mdpi.com/2073-8994/12/8/1262chiral perturbation theoryeffective Lagrangianpion masspion decay constantNNNLO |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nils Hermansson-Truedsson |
spellingShingle |
Nils Hermansson-Truedsson Chiral Perturbation Theory at NNNLO Symmetry chiral perturbation theory effective Lagrangian pion mass pion decay constant NNNLO |
author_facet |
Nils Hermansson-Truedsson |
author_sort |
Nils Hermansson-Truedsson |
title |
Chiral Perturbation Theory at NNNLO |
title_short |
Chiral Perturbation Theory at NNNLO |
title_full |
Chiral Perturbation Theory at NNNLO |
title_fullStr |
Chiral Perturbation Theory at NNNLO |
title_full_unstemmed |
Chiral Perturbation Theory at NNNLO |
title_sort |
chiral perturbation theory at nnnlo |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2020-07-01 |
description |
Chiral perturbation theory is a much successful effective field theory of quantum chromodynamics at low energies. The effective Lagrangian is constructed systematically order by order in powers of the momentum <inline-formula><math display="inline"><semantics><msup><mi>p</mi><mn>2</mn></msup></semantics></math></inline-formula>, and until now the leading order (LO), next-to leading order (NLO), next-to-next-to leading order (NNLO) and next-to-next-to-next-to leading order (NNNLO) have been studied. In the following review we consider the construction of the Lagrangian and in particular focus on the NNNLO case. We in addition review and discuss the pion mass and decay constant at the same order, which are fundamental quantities to study for chiral perturbation theory. Due to the large number of terms in the Lagrangian and hence low energy constants arising at NNNLO, some remarks are made about the predictivity of this effective field theory. |
topic |
chiral perturbation theory effective Lagrangian pion mass pion decay constant NNNLO |
url |
https://www.mdpi.com/2073-8994/12/8/1262 |
work_keys_str_mv |
AT nilshermanssontruedsson chiralperturbationtheoryatnnnlo |
_version_ |
1724498716181659648 |