Dynamical 4-D Gauss-Bonnet action from matter-graviton interaction at one-loop

IF 2.8 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY The European Physical Journal Plus Pub Date : 2025-02-03 DOI:10.1140/epjp/s13360-025-06037-1
Susobhan Mandal, S. Shankaranarayanan
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Abstract

The occurrence of singularities at the centers of black holes suggests that general relativity (GR), although a highly successful model of gravity and cosmology, is inapplicable. This is due to the breakdown of the equivalence principle. Gauss-Bonnet (GB) action is the simplest extension of GR as it possesses second-order equations of motion and is devoid of ghosts. However, in 4-D, the GB action is topological. Recently, Glavan and Lin proposed a mathematical framework that transforms the 4-D GB gravity theory into a non-topological one. However, it has been argued that without a canonical way to choose 4-D from the higher-dimensional space, such a GB gravity is not well-defined in 4-D. Naturally, there has been much interest in having a systematic procedure for making the 4-D GB term non-topological, such as using the counterterm regularization method in 4-D, regularization with the dimensional derivative, and Kaluza-Klein reduction. The current work takes a step in addressing this issue by demonstrating that the rescaling of the GB coupling \(\alpha \rightarrow \alpha /(D - 4)\) arises from the self-energy correction of gravitons in 4-D using only the established quantum field theoretic techniques. To keep things transparent, we focus on the linearized theory of gravity coupled with matter fields. By computing the one-loop self-energy correction of gravitons induced by the matter fields, we explicitly provide the origin of the prescription provided by Glavan and Lin. We compare the procedure with other regularization procedures like Kaluza-Klein dimensional reduction and conformal scaling regarding the strong coupling problem. Our work naturally opens a new window to considering 4-D Einstein Gauss-Bonnet gravity as the most straightforward modification to GR.

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The European Physical Journal Plus
The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-
CiteScore
5.40
自引率
8.80%
发文量
1150
审稿时长
4-8 weeks
期刊介绍: The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences. The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.
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