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A holographic perspective on phonons and pseudo-phonons
Please always quote using this URN: urn:nbn:de:bvb:20-opus-170882
- We analyze the concomitant spontaneous breaking of translation and conformal symmetries by introducing in a CFT a complex scalar operator that acquires a spatially dependent expectation value. The model, inspired by the holographic Q-lattice, provides a privileged setup to study the emergence of phonons from a spontaneous translational symmetry breaking in a conformal field theory and offers valuable hints for the treatment of phonons in QFT at large. We first analyze the Ward identity structure by means of standard QFT techniques, consideringWe analyze the concomitant spontaneous breaking of translation and conformal symmetries by introducing in a CFT a complex scalar operator that acquires a spatially dependent expectation value. The model, inspired by the holographic Q-lattice, provides a privileged setup to study the emergence of phonons from a spontaneous translational symmetry breaking in a conformal field theory and offers valuable hints for the treatment of phonons in QFT at large. We first analyze the Ward identity structure by means of standard QFT techniques, considering both spontaneous and explicit symmetry breaking. Next, by implementing holographic renormalization, we show that the same set of Ward identities holds in the holographic Q-lattice. Eventually, relying on the holographic and QFT results, we study the correlators realizing the symmetry breaking pattern and how they encode information about the low-energy spectrum.…
Author: | Andrea Amoretti, Daniel Areán, Riccardo Argurio, Daniele Musso, Leopoldo A. Pando Zayas |
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URN: | urn:nbn:de:bvb:20-opus-170882 |
Document Type: | Journal article |
Faculties: | Fakultät für Physik und Astronomie / Institut für Theoretische Physik und Astrophysik |
Language: | English |
Parent Title (English): | Journal of High Energy Physics |
Year of Completion: | 2017 |
Volume: | 5 |
Issue: | 51 |
Source: | Journal of High Energy Physics 05(2017)051. DOI: 10.1007/JHEP05(2017)051 |
DOI: | https://doi.org/10.1007/JHEP05(2017)051 |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 539 Moderne Physik |
Tag: | AdS-CFT correspondence; effective field theories; holography and condensed matter physics (AdS/CMT) |
Release Date: | 2019/10/14 |
Licence (German): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |