By Jan Zaanen, Yan Liu, Ya-Wen Sun, Koenraad Schalm
A pioneering treatise featuring how the recent mathematical ideas of holographic duality unify doubtless unrelated fields of physics. This leading edge improvement morphs quantum box idea, common relativity and the renormalisation workforce right into a unmarried computational framework and this ebook is the 1st to assemble a variety of learn during this swiftly constructing box. Set in the context of condensed topic physics and utilizing packing containers highlighting the explicit strategies required, it examines the holographic description of thermal houses of subject, Fermi drinks and superconductors, and hitherto unknown sorts of macroscopically entangled quantum topic by way of basic relativity, stars and black holes. exhibiting that holographic duality can be successful the place vintage mathematical methods fail, this article offers an intensive evaluation of this significant leap forward on the center of recent physics. The inclusion of in depth introductory fabric utilizing non-technical language and on-line Mathematica notebooks guarantees the attract scholars and researchers alike.
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There are still loose ends, but they are mainly of a quantitative nature. An example that is of relevance in the context of this book is the difficulty of addressing the hydrodynamical regime, as defined by the measurement frequency being small compared with the temperature. The Wick rotation becomes here very hazardous, where even state-of-the-art quantum Monte Carlo computations on simple systems fall short in terms of delivering results. However, it is relatively straightforward to deduce the qualitative nature of the physics in this regime on the basis of simple scaling arguments.
There are no Fermi surfaces, and in the extreme case of the local quantum critical states the spectral functions become power-law functions of energy, while the exponents are dependent on momentum. 2). Furthermore, the damping of the quasiparticles can also be tuned. Depending on the parameter choice, a quite literal “marginal Fermi liquid” can be realised, where the quasiparticles are on the verge of becoming overdamped, much like the marginal Fermi-liquid phenomenology introduced in the late 1980s to describe the normal state of high-Tc superconductors.
12 on Sat Nov 21 06:14:12 GMT 2015. 002 Cambridge Books Online © Cambridge University Press, 2015 24 Introduction the Fermi surface. It again suggests that strongly coupled fermion physics plays a crucial role. 3). Of foremost interest is the most basic property of any metal: its optical conductivity. The dictionary translates this directly into the computation of the propagation of photons in the bulk gravitational background. The result looks not that remarkable: it could be easily confused with the optical conductivity of a simple free-electron band-structure system.