Quantum fields, interacting fermions, and exact solutions

Project funded by Swedish Research Council (Project grant), grant 2010-03708_VR. Participating organisations named by the source: KTH, Royal Institute of Technology. Funded amount: SEK 1,650,000, as stated by the source. Runs 2011-01-01 to 2013-12-31. Keywords: Oklassificerat, Unclassified. Source: OpenAIRE Graph, from the funder's project data (collected by OpenAIRE on 2025-12-04); national funding data, not CORDIS. Abstract given by the source: We propose to continue research on several topics in exactly solvable systems and quantum field theory, in-between mathematical physics, condensed matter physics, high energy physics, and cosmology. In Topic 1 we propose to further study a 2D analogue of the Luttinger model that is an effective model for spinless fermions on a square lattice and that can be treated exactly by bosonization. We also propose various generalizations and applications. Our long-term aim is to learn to do reliable computations in 2D Hubbard-like systems, another to see if the 2D Hubbard model can indeed describe high temperature conductors. We also propose to study a 2D analogue of the Schwinger model. Topic 2 is on Calogero-Sutherland type systems. The aim is not only to contribute to special function theory but also to the theory of the fractional quantum Hall effect. Topic 3 is on open quantum systems and how to go beyond the Lindblad equation. In Topic 4 we propose to study a possible source for extrinsic curvature effects in brane world scenarios that is motivated by established results in constrained quantum mechanics. The aim is to study simple examples and thus to learn if and when such effects can have observables consequences. Most topics are parts of long-term research programs and based on results that we obtained and published in the past. They might seem different but are in fact complementary, and it is possible to transfer results and understanding from one topic to another.

Original source.

Source: OpenAIRE Graph: projects of national funders, OpenAIRE, from the project data of Swedish Research Council. 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 "Quantum fields, interacting fermions, and exact solutions" was funded by the Swedish Research Council with a grant of SEK 1,650,000, running from January 1, 2011, to December 31, 2013, involving KTH, Royal Institute of Technology. Suggested technology pillar: simulation. Generated by AI from the public source text; it may contain errors and the original source is authoritative.