Liberality Research

 

 

 

 

発表論文

 

Asymptotically free and safe quantum gravity scenarios consistent with Hubble, laboratory, and inflation scale physics

 

          Hiroki Hoshina

Phys. Rev. D 106, 086024 – Published 31 October 2022

 

Abstract

 

To find out the possible scenarios for quantum gravity consistent with the observed Universe, we numerically investigate the nonperturbative renormalization group equations of a general quadratic gravity theory recently derived by Sen et al. [J. High Energy Phys. 03 (2022) 130]. As boundary conditions, we impose consistency with the Hubble and laboratory scale experiments, as well as the Starobinsky model of inflation. We find two kinds of trajectories that go to different regimes at the trans-Planckian scales: (i) a trajectory that flows to the asymptotically free regime and (ii) a trajectory that flows to the asymptotically safe regime. To determine the early-time cosmological scenario, additional observational data from beyond the homogeneous and isotropic space-time are necessary.

https://journals.aps.org/prd/abstract/10.1103/PhysRevD.106.086024

 

 

Beyond Logical Structure of Quantum Mechanics: 

 

An Algebra of Projection Operators in

 

Quantum Field Theory

 

 

         Satoru Saito　and Tsubasa Takagi

 

                             March 2021

 

Abstract

 

An algebra is derived, which generates dynamics of the quantum field theory (QFT), based on creation and annihilation operators. We show the existence of a commutative subalgebra which determines microscopic projective processes, and is sufficient to incorporate unitary transformations of all global phenomena.

 

 

Dynamic logic of quantum field theory

 

 Takagi, T., Hoshina, H., Iizawa, M.,Saito,S.

 

      arXiv preprint arXiv:2002.12203 (2020)