Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vacuum Energy Densities and Multiplicative Anomalies in a Free Bose Gas   The vacuum energy density or free energy of a free charged Bose gas at
non-zero densities is studied in the context of the debate about Multiplicative
Anomalies. Some zeta-function regularised calculations of the free energy in
the literature are reexamined, clarified and extended. A range of apparently
distinct answers can obtained. Equivalent dimensional regularisation results
are also presented for comparison. I conclude that operator ordering and normal
ordering are not responsible for these differences. Rather it is an undesirable
but unavoidable property of zeta-function regularisation which leads to these
different results, making it a bad scheme in general. By comparison I show how
dimensional regularisation calculations give a consistent result without any
complications, making this a good scheme in this context.

14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess