scholarly journals Linear sigma model and the formation of a charged pion condensate in the presence of an external magnetic field

2014 ◽  
Vol 89 (1) ◽  
Author(s):  
M. Loewe ◽  
C. Villavicencio ◽  
R. Zamora
2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Alejandro Ayala ◽  
José Luis Hernández ◽  
L. A. Hernández ◽  
Ricardo L. S. Farias ◽  
R. Zamora

Author(s):  
Alexander Andrianov ◽  
Vladimir Andrianov ◽  
Domenec Espriu

We compare Chiral Perturbation Theory (ChPT) and the Linear Sigma Model (LSM) as realizations of low energy 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 give a solid ground for search of chiral imbalance manifestation 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.


2018 ◽  
Vol 98 (11) ◽  
Author(s):  
Alejandro Ayala ◽  
Ricardo L. S. Farias ◽  
S. Hernández-Ortiz ◽  
L. A. Hernández ◽  
D. Manreza Paret ◽  
...  

1980 ◽  
Vol 41 (C1) ◽  
pp. C1-445-C1-445
Author(s):  
G. Langouche ◽  
N. S. Dixon ◽  
L. Gettner ◽  
S. S. Hanna

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