# Holographic description of chiral symmetry breaking in a magnetic field in 2+1 dimensions with an improved dilaton

Research paper by Diego M. Rodrigues, Danning Li, Eduardo Folco Capossoli Henrique Boschi-Filho

Indexed on: 08 Feb '20Published on: 04 Feb '20Published in: Europhysics letters

#### Abstract

We consider a holographic description of the chiral symmetry breaking in an external magnetic field in ##IMG## [http://ej.iop.org/images/0295-5075/128/6/61001/epl19969ieqn1.gif] {$(2+1)$} -dimensional gauge theories from the softwall model using an improved dilaton field profile given by ##IMG## [http://ej.iop.org/images/0295-5075/128/6/61001/epl19969ieqn2.gif] {$\Phi(z) = - kz^2 + (k+k_1)z^2\tanh (k_{2}z^2)$} . We find inverse magnetic catalysis for B  B c , where B c is the pseudocritical magnetic field. The transition between these two regimes is a crossover and occurs at ##IMG## [http://ej.iop.org/images/0295-5075/128/6/61001/epl19969ieqn3.gif] {$B=B_c$} , which depends on the fermion mass and temperature. We also find spontaneous chiral symmetry breaking (the chiral condensat...