English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

In this paper we calculate the non-perturbative Euler-Heisenberg Lagrangianfor massless QED in a strong magnetic field $H$, where the breaking of thechiral symmetry is dynamically catalyzed by the external magnetic field via theformation of an electro-positron condensate. This chiral condensate leads tothe generation of dynamical parameters that have to be found as solutions ofnon-perturbative Schwinger-Dyson equations. Since the electron-positron pairingmechanism leading to the breaking of the chiral symmetry is mainly dominated bythe contributions from the infrared region of momenta much smaller than$\sqrt{eH}$, the magnetic field introduces a dynamical ultraviolet cutoff inthe theory that also enters in the non-perturbative Euler-Heisenberg action.Using this action, we show that the system exhibits a significantparaelectricity in the direction parallel to the magnetic field. Thenonperturbative nature of this effect is reflected in the non-analyticdependence of the obtained electric susceptibility on the fine-structureconstant. The strong paraelectricity in the field direction is linked to theorientation of the electric dipole moments of the pairs that form the chiralcondensate. The large electric susceptibility can be used to detect therealization of the magnetic catalysis of chiral symmetry breaking in physicalsystems.

Non-perturbative Euler-Heisenberg Lagrangian and Paraelectricity in Magnetized Massless QED