Algorithmic Technology for Lattice Field Theory

Project funded by Ministry of Science, Education and Youth of the Republic of Croatia (zProjects), grant 0160013. Participating organisations named by the source: University of Zagreb, Faculty of Geotehnical Engineering; Geotehnički fakultet; University of Zagreb. Funded amount: HRK 40, as stated by the source. Runs 2005-05-01 to 2007-05-01. Keywords: lattice field theory, fermion determinant, loop representation, cluster algorithms, chiral fermions, Dirac operator spectrum. Source: OpenAIRE Graph, from the funder's project data (collected by OpenAIRE on 2021-06-29); national funding data, not CORDIS; selected because its keywords name quantum. Abstract given by the source: This project will focus on simulations of two-dimensional quantum field theories. These often show interesting behavior for themselves, but mostly are used as a playground for testing new computational technology: new algorithms, new formulations as well as new and improved operators and observables. The concepts which prove to be successful in such toy settings deserve to be implemented in realistic four-dimensional Quantum Chromodynamics (QCD) simulations. An excellent example of such a successful approach is presented in two publications by me and my project consultants: first we proved that the concept of chirally improved fermions proposed by C. Gattringer (Phys.Rev.D63:114501 (2001)) works in 2D Quantum Electrodynamics (C. Gattringer and I. Hip, Phys.Lett. B480 (2000) 112) and then we successfully implemented it for QCD (C. Gattringer, I. Hip and C. B. Lang. Nucl.Phys. B597 (2001) 451). The chirally optimized approximate Ginsparg-Wilson fermions became in the meantime one of the methods which is successfully applied for proper large scale physical simulations (recent papers by the Bern-Graz-Regensburg collaboration). Further development and refinement of understanding of chirally optimized lattice fermions is one of the goals of this project. Attention will be paid to the interplay of normality and non-normality properties for exact and approximate Ginsparg-Wilson fermions and especially to the peculiar properties of non-normal fermion operators. Such operators enter the construction of the overlap operator which itself has the normality property, so the question arises which properties of the original kernel operator remain after construction. These physical applications pose challenging problems in the field of linear algebra for non-normal matrices. To perform numerical experiments with fermion operators one needs physically relevant configurations. Generating the configurations for the theories with fermions is always non-trivial and time consuming [shortened; the full text is on the OpenAIRE page]

Original source.

Source: OpenAIRE Graph: projects of national funders, OpenAIRE, from the project data of Ministry of Science, Education and Youth of the Republic of Croatia. Retrieved 2026-10-28. Licence: Creative Commons Attribution 4.0 (OpenAIRE Graph). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: Creative Commons Attribution 4.0 (CC BY 4.0).

AI-assisted summary: The project "Algorithmic Technology for Lattice Field Theory" was funded by the Ministry of Science, Education and Youth of Croatia from 2005 to 2007, focusing on simulations of two-dimensional quantum field theories and their applications in Quantum Chromodynamics. Suggested technology pillar: simulation. Generated by AI from the public source text; it may contain errors and the original source is authoritative.