☆ 4.4 Article

Analytic pseudo-Goldstone bosons

JOURNAL OF HIGH ENERGY PHYSICS (2016)

Journal

JOURNAL OF HIGH ENERGY PHYSICS

Volume -, Issue 3, Pages -

Publisher

SPRINGER

DOI: 10.1007/JHEP03(2016)012

Keywords

Gauge-gravity correspondence; AdS-CFT Correspondence

Categories

Physics, Particles & Fields

Funding

IISN-Belgium [4.4503.15]
Communaute Francaise de Belgique through the ARC program and by a Mandat d'Impulsion Scientifique of the F.R.S.-FNRS
NWO Vidi grant

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Abstract

We consider the interplay between explicit and spontaneous symmetry breaking in strongly coupled field theories. Some well-known statements, such as the Gell-Mann-Oakes-Renner relation, descend directly from the Ward identities and have thus a general relevance. Such Ward identities are recovered in gauge/gravity dual setups through holographic renormalization. In a simple paradigmatic three dimensional toy-model, we find analytic expressions for the two-point correlators which match all the quantum field theoretical expectations. Moreover, we have access to the full spectrum, which is reminiscent of linear confinement.

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