Asymptotic safety meets tensor field theory: Toward a new class of gravity-matter systems

IF 5 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review D Pub Date : 2025-04-29 DOI:10.1103/physrevd.111.085030

Astrid Eichhorn, Razvan Gurau, Zois Gyftopoulos

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Abstract

Combining asymptotically safe quantum gravity with a tensor field theory, we exhibit the first example of a theory with gravity and scalar fields in four dimensions which may realize asymptotic safety at a nonvanishing value of the scalar quartic coupling. We first present (further) evidence that in the asymptotic-safety paradigm, quantum fluctuations of gravity generically screen the quartic couplings in (multi)scalar models. For a tensor field theory in which the scalar field transforms under an internal O(N)3 symmetry, this has the effect of replacing asymptotic freedom, recently discovered at large N on a fixed flat background, by an interacting fixed point in the presence of quantum gravity. The fixed point originates from the competition between the effects of the matter self-interactions which, contrary to the usual scalar models, are antiscreening, and the screening gravitational effects.

Published by the American Physical Society

2025

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渐近安全满足张量场理论：关于一类新的重力-物质系统

将渐近安全量子引力理论与张量场理论相结合，首次给出了四维引力场与标量场在标量四次耦合的非消失值处可以实现渐近安全的理论实例。我们首先提出（进一步）证据表明，在渐近安全范式中，引力的量子涨落一般会屏蔽（多）标量模型中的四次耦合。对于标量场在内部O(N)3对称下变换的张量场理论，这具有用量子引力存在下的相互作用不动点取代最近在固定平面背景上大N下发现的渐近自由的效果。不动点源于物质自相互作用的效应（与通常的标量模型相反，是反屏蔽的）与屏蔽引力效应之间的竞争。2025年由美国物理学会出版

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.