Chiral Perturbation Theory vs. Linear Sigma Model in a Chiral Imbalance Medium

被引：13
作者：
Andrianov, Alexander [1 ,2 ,3 ]
Andrianov, Vladimir [1 ]
Espriu, Domenec [2 ,3 ]
机构：
[1] St Petersburg State Univ, VA Fock Dept Theoret Phys, St Petersburg 199034, Russia
[2] Univ Barcelona, Dept Fis Quant & Astrofis, Marti & Franques 1, Barcelona 08028, Spain
[3] Univ Barcelona, Inst Ciencies Cosmos ICCUB, Marti & Franques 1, Barcelona 08028, Spain
来源：
PARTICLES | 2020年 / 3卷 / 01期
关键词：
chiral imbalance; chiral perturbation theory; linear sigma model; charged pion decay in chiral medium; local parity breaking; P-VIOLATION; QCD; COLLISIONS; BREAKING; DECAYS;
D O I：
10.3390/particles3010002
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We compare the chiral perturbation theory (ChPT) and the linear sigma model (LSM) as realizations of low energy quantum chromodynamics (QCD) for light mesons in a chirally-imbalanced medium. The relations between the low-energy constants of the chiral Lagrangian and the corresponding constants of the linear sigma model are established as well as the expressions for the decay constant of pi-meson in the medium and for the mass of the a(0). In the large N-c count taken from QCD the correspondence of ChPT and LSM is remarkably good and provides a solid ground for the search of chiral imbalance manifestations in pion physics. A possible experimental detection of chiral imbalance (and therefore a phase with local parity breaking) is outlined in the charged pion decays inside the fireball.
引用
收藏
页码：15 / 22
页数：8
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