Analytic pseudo-Goldstone bosons

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.

arXiv comment20 pages, 4 figures, v2 minor corrections

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• Pion dynamics in a soft-wall AdS-QCD model
• Simplest phonons and pseudo-phonons in field theory
• Phonon and Shifton from a Real Modulated Scalar
• Holographic Ward identities for symmetry breaking in two dimensions
• First Sound in Holographic Superfluids at Zero Temperature
• Holographic phonons by gauge-axion coupling
• Universality of pseudo-Goldstone damping near critical points
• Bridging the Chiral symmetry and Confinement with Singularity
• Symmetry breaking in holographic theories with Lifshitz scaling
• An introduction to Goldstone boson physics and to the coset construction
• A First-Quantized Model For Unparticles and Gauge Theories Around Conformal Window