Abstract
Techniques arising from string theory can be used to study assemblies of strongly interacting fermions. Via this 'holographic duality', various strongly coupled many-body systems are solved using an auxiliary theory of gravity. Simple holographic realizations of finite density exhibit single-particle spectral functions with sharp Fermi surfaces, of a form distinct from those of the Landau theory. The self-energy is given by a correlation function in an infrared (IR) fixed-point theory that is represented by a two-dimensional anti de Sitter space (AdS2) region in the dual gravitational description. Here, we describe in detail the gravity calculation of this IR correlation function.
Original language | English (US) |
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Pages (from-to) | 1640-1669 |
Number of pages | 30 |
Journal | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 369 |
Issue number | 1941 |
DOIs | |
State | Published - Apr 28 2011 |
Externally published | Yes |
Keywords
- Black holes
- Gauge/gravity duality
- Non-Fermi liquids
ASJC Scopus subject areas
- General Mathematics
- General Engineering
- General Physics and Astronomy