Abstract
We study the time evolution of early universe which is developed by a cosmological constant $\Lambda_4$ and supersymmetric Yang-Mills (SYM) fields in the Friedmann-Robertson-Walker (FRW) space-time. The renormalized vacuum expectation value of 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 $\Lambda_4$. For positive $\Lambda_4$, 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.
Highlights
The holographic approach has been extended to supersymmetric Yang-Mills (SYM) theory in Friedmann-Robertson-Walker (FRW) space-time in Refs. [1,2,3]
We study the time evolution of the early Universe, which is developed by a cosmological constant Λ4 and supersymmetric Yang-Mills (SYM) fields in the Friedmann-Robertson-Walker space-time
Cosmology driven by SYM theory is studied in the FRW space-time
Summary
The holographic approach has been extended to supersymmetric Yang-Mills (SYM) theory in Friedmann-. A relevant path in the complex plane of the lapse field could provide a correct propagator of the Universe This propagator implies an appropriate boundary condition in solving the tunneling amplitude via the WDW equation. We find the validity of the Lorentzian path-integral method It could give the tunneling amplitude, which is obtained by solving the WDW equation with an appropriate boundary condition. A gravitational model with SYM theory is given and the Einstein equations in the FRW space-time are given They are solved at large a0ðtÞ, and why quantum cosmology is necessary at small a0ðtÞ is explained for small C. III, a tractable effective action corrected by SYM theory is proposed
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
