Scalar fields on \(p\)AdS

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Publication:1632144

DOI10.1016/J.PHYSLETB.2018.09.043zbMATH Open1404.81240arXiv1806.07035OpenAlexW2808729187WikidataQ129194641 ScholiaQ129194641MaRDI QIDQ1632144

Author name not available (Why is that?)

Publication date: 13 December 2018

Published in: (Search for Journal in Brave)

Abstract: We obtain a subgroup of the isometry group of pAdS (a p-adic version of AdS alternative to the Bruhat-Tits tree). We propose a candidate for the scalar bulk action and equation of motion on pAdS, and work out analytical expressions of the Green's functions for a particular choice of parameter together with an ansatz for general cases. The limiting behaviors of the Green's function are also studied. With their help, the convergence of small loops (whose radii are smaller than AdS length scale of pAdS) is analyzed.


Full work available at URL: https://arxiv.org/abs/1806.07035



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