On spectrum of vacuum energy
Abstract
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 condensedmatter systems with relativity emerging at low energy are presented. In the Sakharov induced gravity situation may be even more dramatic: only microscopic (Planck scale) constituent fields contribute to the vacuum energy, while the diverging zeropoint energy of emergent quantum field (gravitational field) is missing. On the other hand consideration of the fermionic condensed matter systems suggests that emergent relativistic fermionic quasiparticles contribute in conventional way as Dirac vacuum.
 Publication:

Journal of Physics Conference Series
 Pub Date:
 June 2009
 DOI:
 10.1088/17426596/174/1/012007
 arXiv:
 arXiv:0801.2714
 Bibcode:
 2009JPhCS.174a2007V
 Keywords:

 General Relativity and Quantum Cosmology;
 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Phenomenology
 EPrint:
 10 pages, 2 figures, JPCS style, prepared for proceedings of DICE2008