Opacity from loops in AdS
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Publication:2025983
DOI10.1007/JHEP02(2021)089zbMATH Open1460.81055arXiv2011.06603MaRDI QIDQ2025983
Author name not available (Why is that?)
Publication date: 17 May 2021
Published in: (Search for Journal in Brave)
Abstract: We investigate how quantum dynamics affects the propagation of a scalar field in Lorentzian AdS. We work in momentum space, in which the propagator admits two spectral representations (denoted "conformal" and "momentum") in addition to a closed-form one, and all have a simple split structure. Focusing on scalar bubbles, we compute the imaginary part of the self-energy in the three representations, which involves the evaluation of seemingly very different objects. We explicitly prove their equivalence in any dimension, and derive some elementary and asymptotic properties of . Using a WKB-like approach in the timelike region, we evaluate the propagator dressed with the imaginary part of the self-energy. We find that the dressing from loops exponentially dampens the propagator when one of the endpoints is in the IR region, rendering this region opaque to propagation. This suppression may have implications for field-theoretical model-building in AdS. We argue that in the effective theory (EFT) paradigm, opacity of the IR region induced by higher dimensional operators censors the region of EFT breakdown. This confirms earlier expectations from the literature. Specializing to AdS, we determine a universal contribution to opacity from gravity.
Full work available at URL: https://arxiv.org/abs/2011.06603
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