Renormalization-Group Improved Effective Potential for Finite Grand Unified Theories in Curved Spacetime

Abstract

The renormalization-group improved effective potential ---to leading-log and in the linear curvature approximation--- is constructed for ``finite'' theories in curved spacetime. It is not trivial and displays a quite interesting, exponential-like structure ---in contrast with the case of flat spacetime where it coincides with the classical potential. Several possible cosmological applications, as curvature-induced phase transitions and modifications of the values of the gravitational and cosmological constants, are briefly discussed.

10 pages, LaTeX file, UB-ECM-PF 94/9

References in corpus (4)

• The effective potential and the renormalisation group
• Renormalization-group improved effective potential for gauge theories in curved spacetime
• Renormalization-Group Improved Effective Lagrangian for Interacting Theories in Curved Spacetime
• Finite Unified Models

Cited by in corpus (30)

• Dark Energy and Gravity
• Inflation and quintessence with nonminimal coupling
• Spacetime curvature and the Higgs stability during inflation
• Phantom cosmology with general potentials
• Cosmological Aspects of Higgs Vacuum Metastability
• Precision Gravity Tests and the Einstein Equivalence Principle
• Imperfect fluid description of modified gravities
• The 1-loop effective potential for the Standard Model in curved spacetime
• A crucial ingredient of inflation
• Non-Minimal Inflation after WMAP3
• Renormalization-group inflationary scalar electrodynamics and SU(5) scenarios confronted with Planck2013 and BICEP2 results
• Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
• Cosmological attractor inflation from the RG-improved Higgs sector of finite gauge theory
• Energy conditions and classical scalar fields
• Non-minimal (self-)running inflation: metric vs. Palatini formulation
• Multiple point criticality principle and Coleman-Weinberg inflation
• Electroweak Vacuum Instability and Renormalized Higgs Field Vacuum Fluctuations in the Inflationary Universe
• Electroweak Vacuum Instability and Renormalized Vacuum Field Fluctuations in Friedmann-Lemaitre-Robertson-Walker Background
• Non-Minimal Inflation on the Warped DGP Brane
• Quantum cosmological intertwining: Factor ordering and boundary conditions from hidden symmetries
• First constraints on non-minimally coupled Natural and Coleman-Weinberg inflation and massive neutrino self-interactions with Planck+BICEP/Keck
• Scalar field scattering by a Lifshitz black hole under a non-minimal coupling
• Effective Potential of Scalar-Tensor Gravity
• Quantum corrections to inflaton dynamics, the semi-classical approach and the semi-classical limit
• Quasilocal mass in scalar-tensor gravity: spherical symmetry
• Renormalization-group improved inflationary scenarios
• Non-Minimal Inflation with a scalar-curvature mixing term $\frac{1}{2}\xi R{\varphi }^2$
• Constraining non-minimally coupled squared-Quartic Hilltop Inflation in light of ACT observations
• Fermionic and scalar fields as sources of interacting dark matter-dark energy
• Effective gravity and OSp(N,4) invariant matter