Volume 128, Number 6, December 2019
|Number of page(s)||6|
|Section||The Physics of Elementary Particles and Fields|
|Published online||04 February 2020|
Holographic description of chiral symmetry breaking in a magnetic field in 2+1 dimensions with an improved dilaton
1 Instituto de Física, Universidade Federal do Rio de Janeiro - 21.941-972 Rio de Janeiro- RJ, Brazil
2 Department of Physics and Siyuan Laboratory, Jinan University - Guangzhou 510632, China
3 Departamento de Física and Mestrado Profissional em Práticas da Educação Básica (MPPEB), Colégio Pedro II - 20.921-903 Rio de Janeiro- RJ, Brazil
Received: 15 September 2019
Accepted: 2 January 2020
We consider a holographic description of the chiral symmetry breaking in an external magnetic field in -dimensional gauge theories from the softwall model using an improved dilaton field profile given by . We find inverse magnetic catalysis for B < Bc and magnetic catalysis for B > Bc, where Bc is the pseudocritical magnetic field. The transition between these two regimes is a crossover and occurs at , which depends on the fermion mass and temperature. We also find spontaneous chiral symmetry breaking (the chiral condensate ) at T = 0 in the chiral limit () and chiral symmetry restoration for finite temperatures. We observe that changing the k parameter of the dilaton profile only affects the overall scales of the system such as Bc and σ. For instance, by increasing k one sees an increase of Bc andσ. This suggests that increasing the parameters k1 and k2 will decrease the values of Bc and σ.
PACS: 11.25.Tq – Gauge/string duality / 11.30.Qc – Spontaneous and radiative symmetry breaking / 12.40.-y – Other models for strong interactions
© EPLA, 2020
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