Semiclassics, Goldstone bosons and CFT data

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Title: Semiclassics, Goldstone bosons and CFT data
Author(s): Monin, A
Pirtskhalava, D
Rattazzi, R
Seibold, FK
Item Type: Journal Article
Abstract: Hellerman et al. (arXiv:1505.01537) have shown that in a generic CFT the spectrum of operators carrying a large U(1) charge can be analyzed semiclassically in an expansion in inverse powers of the charge. The key is the operator state correspondence by which such operators are associated with a finite density superfluid phase for the theory quantized on the cylinder. The dynamics is dominated by the corresponding Goldstone hydrodynamic mode and the derivative expansion coincides with the inverse charge expansion. We illustrate and further clarify this situation by first considering simple quantum mechanical analogues. We then systematize the approach by employing the coset construction for non-linearly realized space-time symmetries. Focussing on CFT3 we illustrate the case of higher rank and non-abelian groups and the computation of higher point functions. Three point function coefficients turn out to satisfy universal scaling laws and correlations as the charge and spin are varied.
Publication Date: 5-Jun-2017
Date of Acceptance: 16-May-2017
URI: http://hdl.handle.net/10044/1/51406
DOI: https://dx.doi.org/10.1007/JHEP06(2017)011
ISSN: 1029-8479
Publisher: Springer Verlag (Germany)
Journal / Book Title: Journal of High Energy Physics
Volume: 2017
Issue: 6
Copyright Statement: Open Access, © The Authors. Article funded by SCOAP3
Keywords: Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Conformal Field Theory
Effective Field Theories
Nonperturbative Effects
QUANTUM FIELD-THEORY
PHENOMENOLOGICAL LAGRANGIANS
GAUGE-THEORIES
hep-th
hep-th
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Conformal Field Theory
Effective Field Theories
Nonperturbative Effects
QUANTUM FIELD-THEORY
PHENOMENOLOGICAL LAGRANGIANS
GAUGE-THEORIES
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status: Published
Article Number: 011
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