Renormalizable Flat-Background Scalar Gravity Coupled to the Standard Model

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Auteur principal: Batra, Rajeev
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Langue:anglais
Publié: Zenodo 2025
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author Batra, Rajeev
author_facet Batra, Rajeev
contents <p><span>Abstract</span></p> <p><span>We present a renormalizable scalar formulation of gravity, the Inertial Gravity Theory (IGT) that couples consistently to the Standard Model within a flat background. The theory replaces geometric curvature with a scalar inertial field<span>  </span>that modifies local inertial density rather than spacetime itself</span><span>.</span><span> </span><span>IGT is novel because it reformulates gravitational interaction as a classical energy‑partition process in which the local coupling G M /(r c²) emerges from inertial‑density conservation.<span>  </span>The resulting field law replicates <span>all classical weak-field and strong field<span>  </span>tests of General Relativity (GR)</span><span> [1-3]<span>  </span></span><span>, including tensorial gravitational waves</span><span> </span>in a purely vector‑scalar framework.<span>  </span>This establishes IGT as a self‑consistent, self‑renormalizing alternative to both metric gravity and quantum‑gravity <span>extensions</span><span> </span><span>[7,18,19] . All operators in the Lagrangian are dimension-4, ensuring perturbative renormalizability at one loop. Explicit counterterm analysis shows that divergences close on the original operator basis, without requiring higher-dimensional corrections or tensor structures. The framework preserves gauge invariance and canonical kinetic normalization, yielding a well-defined set of beta functions for both gravitational and gauge couplings . This approach provides a minimal, flat-background alternative to general relativity and scalar-tensor models, compatible with established quantum-field-theoretic methods and standard renormalization procedures.</span></span></p>
format Recurso digital
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language eng
publishDate 2025
publisher Zenodo
record_format zenodo
spellingShingle Renormalizable Flat-Background Scalar Gravity Coupled to the Standard Model
Batra, Rajeev
renormalizable gravity; flat-background field theory; scalar gravity; Standard Model coupling; quantum field theory; one-loop renormalization
<p><span>Abstract</span></p> <p><span>We present a renormalizable scalar formulation of gravity, the Inertial Gravity Theory (IGT) that couples consistently to the Standard Model within a flat background. The theory replaces geometric curvature with a scalar inertial field<span>  </span>that modifies local inertial density rather than spacetime itself</span><span>.</span><span> </span><span>IGT is novel because it reformulates gravitational interaction as a classical energy‑partition process in which the local coupling G M /(r c²) emerges from inertial‑density conservation.<span>  </span>The resulting field law replicates <span>all classical weak-field and strong field<span>  </span>tests of General Relativity (GR)</span><span> [1-3]<span>  </span></span><span>, including tensorial gravitational waves</span><span> </span>in a purely vector‑scalar framework.<span>  </span>This establishes IGT as a self‑consistent, self‑renormalizing alternative to both metric gravity and quantum‑gravity <span>extensions</span><span> </span><span>[7,18,19] . All operators in the Lagrangian are dimension-4, ensuring perturbative renormalizability at one loop. Explicit counterterm analysis shows that divergences close on the original operator basis, without requiring higher-dimensional corrections or tensor structures. The framework preserves gauge invariance and canonical kinetic normalization, yielding a well-defined set of beta functions for both gravitational and gauge couplings . This approach provides a minimal, flat-background alternative to general relativity and scalar-tensor models, compatible with established quantum-field-theoretic methods and standard renormalization procedures.</span></span></p>
title Renormalizable Flat-Background Scalar Gravity Coupled to the Standard Model
topic renormalizable gravity; flat-background field theory; scalar gravity; Standard Model coupling; quantum field theory; one-loop renormalization
url https://doi.org/10.5281/zenodo.17336227