2017/12/31 by Kazuo Ghoroku, Y. Nakano, Yoshimasa Nakano +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmological constant #Cosmology and Gravitation Theories #Effective action #Geometry #Inflation (cosmology) #Lambda #Mathematical physics #Noncommutative and Quantum Gravity Theories #Path integral formulation #Physics #Quantum #Quantum field theory #Quantum mechanics #Tensor (intrinsic definition) #Theoretical physics #Universe #Vacuum energy #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.97.066027
published in Physical review. D/Physical review. D. 97(6) (American Physical Society) · 28 pages, 10 figures
arxiv created 2018/02/07 · openalex publication_date 2018/03/29 · arxiv updated 2018/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the time evolution of the early Universe, which is developed by a cosmological constant \mathrm\ensuremathΛ4 and supersymmetric Yang-Mills (SYM) fields in the Friedmann-Robertson-Walker space-time. The renormalized vacuum expectation value of the energy-momentum tensor of the SYM theory is obtained in a holographic way. It includes a radiation of the SYM field, parametrized as C. The evolution is controlled by this radiation C and the cosmological constant \mathrm\ensuremathΛ4. For positive \mathrm\ensuremathΛ4, an inflationary solution is obtained at late time. When C is added, the quantum mechanical situation at early time is fairly changed. Here we perform the early time analysis in terms of two different approaches, (i) the Wheeler-DeWitt equation and (ii) Lorentzian path integral with the Picard-Lefschetz method by introducing an effective action. The results of two methods are compared.