Abstract
We test the Wu gauge theory of gravity with massive gravitons in the perturbing topological field theory framework. We show that the computation of the correlation function between massive and massless gravitons is reported up to 4-loop and appears to be unaffected by radiative correction. This result ensures the stability of the linking number between massive and massless gravitons with respect to the local perturbation, a result with potential wider applications in cosmology.
Highlights
Various authors have attempted to derive General Relativity from a gauge-like principle, involving invariance of physics under transformations of the locally acting Lorentz or Poincare group. ([1], [2], [3], [4])
The third-order gravitational gauge field is massive if mass is very large. Such a field has no contribution to the long-range gravitational force
The interaction between massive and massless gravitons in the topological field theory Taking Wu’s gauge model as our starting point ([4], [8], [9], [10], [23], [24], [25]), we introduce two gravitational gauge fields
Summary
The interaction between massive and massless gravitons by the perturbing topological field theory. Communications in Theoretical Physics, Chinese Physical Society, 2012, 57 (2), pp.241244. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés
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