dc.rights.license | CC-BY-NC-ND | |
dc.contributor.advisor | Zaanen, J. | |
dc.contributor.advisor | Parnachev, A. | |
dc.contributor.advisor | de Morais Smith, C. | |
dc.contributor.author | Janssen, M.A. | |
dc.date.accessioned | 2012-08-21T17:01:55Z | |
dc.date.available | 2012-08-21 | |
dc.date.available | 2012-08-21T17:01:55Z | |
dc.date.issued | 2012 | |
dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/14456 | |
dc.description.abstract | Interacting fermions in 1+1 dimensions display behaviour distinct from their higher dimensional counterpart. There is an absence of quasi-particles, any individual excitation becomes collective.
Through the method of bosonization the Luttinger model is exactly solvable. The resulting theory has correlation functions that have interaction-dependent scaling at 2k_{f}.
The necessary ingredients to describe this system holographically will be discussed. Earlier studies have shown that 2k_{f} singularities are absent in the large N limit. Moving away from this limit allows quantum corrections in the bulk. The goal of this master thesis was to calculate a fermionic loop correction to the gauge field two-point function. Under some assumptions analytic results can be realized which allow for a possible holographic description of low dimensional condensed matter. | |
dc.description.sponsorship | Utrecht University | |
dc.format.extent | 1090376 bytes | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | |
dc.title | Constructing the holographic realization of a Luttinger Liquid/ Low dimensional AdS/CMT | |
dc.type.content | Master Thesis | |
dc.rights.accessrights | Open Access | |
dc.subject.keywords | low dimensional condensed matter, luttinger liquids, anti de Sitter / conformal field theory correspondence, large N | |
dc.subject.courseuu | Theoretical Physics | |