Title: SU(N) gauge natural inflation

Speaker: Tomohiro Fujita

Abstract: I'll discuss general attractor solutions for SU(N) gauge fields coupled to a rolling axion via the Chern-Simons interaction during inflation. It has been known that the SU(2) gauge field has an isotropic and homogeneous attractor solution, which leads to rich phenomenology including the amplification of primordial gravitational waves. We find a generic way to construct similar background solutions for SU(N), and enumerate all the isotropic stationary solutions for SU(3) and SU(4). We also confirm that numerical solutions with random initial conditions converge into these attractors. Interestingly, the gauge field amplitudes (i.e. VEVs) tend to increase as N of SU(N) grows, which may provide interesting observational signatures.

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Last-modified: 2021-07-19 (月) 15:02:09 (69d)