Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On spectrum of vacuum energy   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. 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
zero-point 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.

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The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org