Exploring Symmetry Categories of Quantum Fields

Project funded by Swedish Research Council (Project grant), grant 2023-05590_VR. Participating organisations named by the source: Stockholm University. Funded amount: SEK 4,200,000, as stated by the source. Runs 2024-01-01 to 2027-12-31. Keywords: Naturvetenskap, Natural Sciences, Fysik, Physical Sciences, Subatomär fysik, Subatomic Physics. 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: Quantum field theory (QFT) is a universal language for modern theoretical physics, with a wide variety of applications ranging from condensed matter, particle physics and cosmology. Despite its striking success in all these areas, we still lack tools to completely characterize the full phase diagram of quantum fields, mostly due to non-perturbative effects. In QFT the dynamics of physical systems is described exploiting correlators. Most of the tools developed so far have focused on studying the correlators among point-like fluctuations of the field. It is well-known however that the quantum field can have also extended fluctuations, organized for instance along lines instead of points. Constraints for the correlators among the point-like and the extended fluctuations are encoded by a new type of symmetries, called higher symmetries and organized by symmetry categories.Symmetry categories give a language to capture the conservation laws for extended field configurations. In this project we study how patterns of breaking of symmetry categories are related to the phase diagrams of QFTs. In the first part of the project we will develop tools to compute symmetry categories indepedent from a conventional Lagrangian perturbative descritpion. In the second part of the project we will appy these tools to non-perturbative QFTs. It is important to develop these techniques towards a more comprehensive understanding of the phases of QFTs with many interdisciplinary implications.

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: Project funded by the Swedish Research Council, SEK 4,200,000, 2024-2027, Stockholm University. Explores quantum field theory, focusing on extended fluctuations and phase diagrams. Suggested technology pillar: enabling. Generated by AI from the public source text; it may contain errors and the original source is authoritative.