title: On a Numerical Framework for Functional Renormalization of Quantum Statistical Physics
creator: Albrecht, Conrad
subject: ddc-004
subject: 004 Data processing Computer science
subject: ddc-530
subject: 530 Physics
description: The subject of this thesis intends to investigate and put forward the method of  functional renormalization within the field of quantum statistical physics. Our focus is on  a (generic) truncation scheme that is suited to flexibly resolve two important mathematical  objects of physical relevance: The (inverse) propagator and the effective potential, respectively.  In the former case our effort aims at a proper resolution of the momentum dependence  which is related to the particles dispersion relation. The effective potential contains valuable  thermodynamic information on e.g. the equation of state and the system’s phase diagram.  A main achievement related to our study is the implementation of a numerical library,  libfrg, which sets up a generic framework for high performance parallel computing in  conjunction with the method of functional renormalization. By licensing it under the GNU  GPL it is tailored to foster shared development by the community of scientists with research  focus on this branch of physics.
date: 2013
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/16240/1/PHDTHESIS_C_ALBRECHT_FINAL.PDF
identifier: DOI:10.11588/heidok.00016240
identifier: urn:nbn:de:bsz:16-heidok-162401
identifier:   Albrecht, Conrad  (2013) On a Numerical Framework for Functional Renormalization of Quantum Statistical Physics.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/16240/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng