Towards the lattice effects on the holographic superconductor

Norihiro Iizuka, Kengo Maeda

研究成果: Article査読

16 被引用数 (Scopus)

抄録

We study the lattice effects on the simple holographic toy model; massive U(1) gauge theory for the bulk action. The mass term is for the U(1) gauge symmetry breaking in the bulk. Without the lattice, the AC conductivity of this model shows similar results to the holographic superconductor with the energy gap. On this model, we introduce the lattice effects, which induce the periodic potential and break the translational invariance of the boundary field theory. Without the lattice, due to the translational invariance and the mass term, there is a delta function peak at zero frequency on the AC conductivity. We study how this delta function peak is inuenced by the lattice effects, which we introduce perturbatively. In the probe limit, we evaluate the perturbative corrections to the conductivities at very small frequency limit. We find that the delta function peak remains, even after the lattice effects are introduced, although its weight reduces perturbatively. We also study the lattice wavenumber dependence of this weight. Our result suggests that in the U(1) symmetry breaking phase, the delta function peak is stable against the lattice effects at least perturbatively.

本文言語English
論文番号117
ジャーナルJournal of High Energy Physics
2012
11
DOI
出版ステータスPublished - 2012 11

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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