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The Ward identity of Symmetry Breaking from Holographic Renormalization

2017/12/26 by Andrea Marzolla, Marzolla, Andrea
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #High Energy Physics - Theory (hep-th) #History and Developments in Astronomy #hep-th

paper · pdf · doi:10.48550/arxiv.1712.09251

Extract of PhD thesis: 48 pages, 0 figures

arxiv created 2017/12/26 · openalex publication_date 2017/12/26 · arxiv updated 2017/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Notes on holographic renormalization as a tool for UV analysis and derivation of the two-point Ward identity encoding symmetry breaking. Goldstone theorem is reviewed, discussing in particular the modifications required by its extension to non-relativistic field theories. The Ward identity encoding both spontaneous and explicit breaking are derived by general principles. Holographic renormalization is presented in a quite operational fashion. The derivation of the Ward identity in holography is illustrated by an example.

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