Higgs/amplitude mode dynamics from holography

Donos, Aristomenis; Pantelidou, Christiana

Abstract

Second order phase transitions are universally driven by an order parameter which becomes trivial at the critical point. At the same time, collective excitations which involve the amplitude of the order parameter develop a gap which smoothly closes to zero at criticality. We develop analytical techniques to study this “Higgs” mode in holographic systems which undergo a continuous phase transition at finite temperature and chemical potential. This allows us to study the linear response of the system at energy scales of the order of the gap. We express the Green’s functions of scalar operators in terms of thermodynamic quantities and a single transport coefficient which we fix in terms of black hole horizon data.

Citation

Donos, A., & Pantelidou, C. (2022). Higgs/amplitude mode dynamics from holography. Journal of High Energy Physics, 2022(8), Article 246. https://doi.org/10.1007/jhep08%282022%29246

• Journal Article Type: Article
• Acceptance Date: Jul 31, 2022
• Online Publication Date: Aug 24, 2022
• Publication Date: 2022
• Deposit Date: Sep 13, 2022
• Publicly Available Date: Sep 13, 2022
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2022
• Issue: 8
• Article Number: 246
• DOI: https://doi.org/10.1007/jhep08%282022%29246
• Public URL: https://durham-repository.worktribe.com/output/1194659