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/

Global: Zendy Plus annual

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

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We investigate the fermion condensate (FC) for a massive spinor field onbackground of the 5-dimensional locally anti-de Sitter (AdS) spacetime with acompact dimension and in the presence of a cosmic string carrying a magneticflux. The FC is decomposed into two contributions. The first one corresponds tothe geometry without compactification and the second one is induced by thecompactification. Depending on the values of the parameters, the total FC canbe either positive or negative. As a limiting case, the expression for the FCon locally Minkowski spacetime is derived. It vanishes for a massless fermionfield and the nonzero FC on the AdS bulk in the massless case is an effectinduced by gravitation. This shows that the gravitational field may essentiallyinfluence the parameters space for phase transitions. For a massive field theFC diverges on the string as the inverse cube of the proper distance from thestring. In the case of a massless field, depending on the magnetic flux alongthe string and planar angle deficit, the limiting value of the FC on the stringcan be either finite or infinite. At large distances, the decay of the FC as afunction of the distance from the string is power law for both cases of massiveand massless fields. For a cosmic string on the Minkowski bulk and for amassive field the decay is exponential. The topological part in the FC vanisheson the AdS boundary. We show that the FCs coincide for the fields realizing twoinequivalent irreducible representations of the Clifford algebra. In thespecial case of the zero planar angle deficit, the results presented in thispaper describe Aharonov-Bohm-type effects induced by magnetic fluxes in curvedspacetime.

Topological effects in fermion condensate induced by cosmic string and compactification on AdS bulk