Quantum field theory, gravity and cosmology in a fractal universe
关键词: Classical mechanics 、 Linearized gravity 、 Fractal cosmology 、 Physics 、 Quantum field theory in curved spacetime 、 Theoretical physics 、 Gravitation 、 General relativity 、 Quantum field theory 、 Cosmological constant 、 Quantum gravity
摘要: We propose a model for power-counting renormalizable field theory living in fractal spacetime. The action is Lorentz covariant and equipped with Stieltjes measure. system flows, even classical sense, from an ultraviolet regime where spacetime has Hausdorff dimension 2 to infrared limit coinciding standard D-dimensional theory. discuss the properties of scalar at quantum level. Classically, lives on which exchanges energy-momentum bulk integer topological D. Although observer experiences dissipation, total conserved. spectrum continuum massive modes. gravitational sector Einstein equations are discussed detail, also cosmological backgrounds. find solutions comment their implications early universe.
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