On harvesting physical predictions from asymptotically safe quantum field theories

Fuente: arXiv
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Hauptverfasser: Saueressig, Frank, Silva, Agustín
Format: Preprint
Veröffentlicht: 2024
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author Saueressig, Frank
Silva, Agustín
author_facet Saueressig, Frank
Silva, Agustín
contents Asymptotic safety is a powerful mechanism for obtaining a consistent and predictive quantum field theory beyond the realm of perturbation theory. It hinges on an interacting fixed point of the Wilsonian renormalization group flow which controls the microscopic dynamics. Connecting the fixed point to observations requires constructing the set of effective actions compatible with this microscopic dynamics. Technically, this information is stored in the UV-critical surface of the fixed point. In this work, we describe a novel approach for extracting this information based on analytical and pseudo-spectral methods. Our construction is illustrated at the level of the two-dimensional Ising model and easily generalizes to any asymptotically safe quantum field theory. It also constitutes an important step towards setting up a well-founded swampland program within the gravitational asymptotic safety program.
format Preprint
id arxiv_https___arxiv_org_abs_2403_08541
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On harvesting physical predictions from asymptotically safe quantum field theories
Saueressig, Frank
Silva, Agustín
High Energy Physics - Theory
Statistical Mechanics
General Relativity and Quantum Cosmology
Asymptotic safety is a powerful mechanism for obtaining a consistent and predictive quantum field theory beyond the realm of perturbation theory. It hinges on an interacting fixed point of the Wilsonian renormalization group flow which controls the microscopic dynamics. Connecting the fixed point to observations requires constructing the set of effective actions compatible with this microscopic dynamics. Technically, this information is stored in the UV-critical surface of the fixed point. In this work, we describe a novel approach for extracting this information based on analytical and pseudo-spectral methods. Our construction is illustrated at the level of the two-dimensional Ising model and easily generalizes to any asymptotically safe quantum field theory. It also constitutes an important step towards setting up a well-founded swampland program within the gravitational asymptotic safety program.
title On harvesting physical predictions from asymptotically safe quantum field theories
topic High Energy Physics - Theory
Statistical Mechanics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2403.08541