Below the Breitenlohner-Freedman bound in the nonrelativistic AdS/CFT correspondence

Journal Article · Mon Mar 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.066002· OSTI ID:21409439

Moroz, Sergej ^[1]

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1. Institut fuer Theoretische Physik, Universitaet Heidelberg, Philosophenweg 16, D-69120 Heidelberg (Germany)

We propose that there is no analogue of the Breitenlohner-Freedman stability bound on the mass of a scalar field in the context of the nonrelativistic AdS/CFT correspondence. Our treatment is based on an equivalence between the field equation of a complex scalar in the AdS/CFT correspondence and the one-dimensional Schroedinger equation with an inverse square potential. We compute the two-point boundary correlation function for m{sup 2}<m{sub BF}{sup 2} and discuss its relation to renormalization group limit cycles and the Efimov effect in quantum mechanics. The equivalence also helps to elucidate holographic renormalization group flows and calculations in the global coordinates for Schroedinger spacetime.

• OSTI ID: 21409439
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
ATTRACTORS
CORRELATION FUNCTIONS
DIFFERENTIAL EQUATIONS
EFIMOV EFFECT
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
HOLOGRAPHY
LIMIT CYCLE
MASS
MATHEMATICAL SPACE
MECHANICS
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
RENORMALIZATION
SCALAR FIELDS
SCHROEDINGER EQUATION
SPACE
SPACE-TIME
STABILITY
WAVE EQUATIONS