On spectrum of vacuum energy

Understand

We discuss the problem of the spectral function of vacuum energy.

• In traditional approach the ultraviolet divergencies of the vacuum energy are cancelled by imposing relations between different quantum fields and their masses.
• The emergent theories suggest that the microscopic degrees of the underlying quantum vacuum add to the spectral function and their contribution cancels the diverging zero point energy of quantum fields.
• Examples of the spectral function of the vacuum energy in the condensed-matter systems with relativity emerging at low energy are presented.