Effective approach to the Antoniadis-Mottola model: quantum decoupling of the higher derivative terms
arXiv:2301.13291 · doi:10.1007/JHEP07(2023)097
Abstract
We explore the decoupling of massive ghost mode in the (four-dimensional) theory of the conformal factor of the metric. The model was introduced by Antoniadis and Mottola in [1] and can be regarded as a close analog of the fourth-derivative quantum gravity. The analysis of the derived one-loop nonlocal form factors includes their asymptotic behavior in the UV and IR limits. In the UV (high energy) domain, our results reproduce the Minimal Subtraction scheme-based beta functions of [1]. In the IR (i.e., at low energies), the diagrams with massive ghost internal lines collapse into tadpole-type graphs without nonlocal contributions and become irrelevant. On the other hand, those structures that contribute to the running of parameters of the action and survive in the IR, are well-correlated with the divergent part (or the leading in UV contributions to the form factors), coming from the effective low-energy theory of the conformal factor. This effective theory describes only the light propagating mode. Finally, we discuss whether these results may shed light on the possible running of the cosmological constant at low energies.
arXiv comment35 pages, 20 figures. Several detailed explanations, discussions, references and Appendices added to improve presentation. Fits the published version
References in corpus (43)
- Cosmological Constant - the Weight of the Vacuum
- General relativity as an effective field theory: The leading quantum corrections
- Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
- Reconstructing Dark Energy
- Leading Quantum Correction to the Newtonian Potential
- Super-renormalizable Quantum Gravity
- Twenty Years of the Weyl Anomaly
- Package-X: A Mathematica package for the analytic calculation of one-loop integrals
- Ghosts in Massive Gravity
- On the possible running of the cosmological "constant"
- The scaling evolution of cosmological constant
- Super-renormalizable & Finite Gravitational Theories
- Some remarks on high derivative quantum gravity
- Renormalization Group and Decoupling in Curved Space
- Nonlocal and quasi-local field theories
- Higher Derivative Quantum Gravity with Gauss-Bonnet Term
- Counting ghosts in the "ghost-free" non-local gravity
- The Cosmological Constant Problem and Running Vacuum in the Expanding Universe
- Universality and Ambiguities of the Conformal Anomaly
- Renormalization group in super-renormalizable quantum gravity
- Renormalization Group and Decoupling in Curved Space: II. The Standard Model and Beyond
- On the gravitational seesaw in higher-derivative gravity
- On the non-local heat kernel expansion
- Physical States of the Quantum Conformal Factor
- Form factors and decoupling of matter fields in four-dimensional gravity
- On the renormalization group for the interacting massive scalar field theory in curved space
- Scaling behavior of quantum four-geometries
- Vacuum effective actions and mass-dependent renormalization in curved space
- Scalar model of effective field theory in curved space
- Interaction of Low - Energy Induced Gravity with Quantized Matter and Phase Transition Induced by Curvature
- One-Loop Renormalization and Asymptotic Behaviour of a Higher-Derivative Scalar Theory in Curved Spacetime
- A Four-Dimensional Theory for Quantum Gravity with Conformal and Nonconformal Explicit Solutions
- The Effective Theory of Gravity and Dynamical Vacuum Energy
- Renormalization Ambiguities and Conformal Anomaly in Metric-Scalar Backgrounds
- Renormalization group and logarithmic corrections to scaling relations in conformal sector of 4D gravity
- Running couplings and unitarity in a 4-derivative scalar field theory
- Non-local partner to the cosmological constant
- Trace anomaly and induced action for a metric-scalar background
- Quantum dynamics of N=1, D=4 supergravity chiral compensator
- Polemic Notes On IR Perturbative Quantum Gravity
- On quantum model of supergravity compensator
- Resummed heat-kernel for surface contributions: Dirichlet semitransparent boundary conditions
- Nonlocality of quantum matter corrections and cosmological constant running