Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: IR/UV mixing from local similarity maps of scalar non-Hermitian field
  theories   We propose to "gauge" the group of similarity transformations that acts on a
space of non-Hermitian scalar theories. We introduce the "similarity gauge
field", which acts as a gauge connection on the space of non-Hermitian theories
characterized by (and equivalent to a Hermitian) real-valued mass spectrum.
This extension leads to new effects: if the mass matrix is not the same in
distant regions of space, but its eigenvalues coincide pairwise in both
regions, the particle masses stay constant in the whole spacetime, making the
model indistinguishable from a standard, low-energy and scalar Hermitian one.
However, contrary to the Hermitian case, the high-energy scalar particles
become unstable at a particular wavelength determined by the strength of the
emergent similarity gauge field. This instability corresponds to
momentum-dependent exceptional points, whose locations cannot be identified
from an analysis of the eigenvalues of the coordinate-dependent squared mass
matrix in isolation, as one might naively have expected. For a doublet of
scalar particles with masses of the order of 1 MeV and a similarity gauge
rotation of order unity at distances of 1 meter, the corrections to the masses
are about 10^{-7}eV, which makes no experimentally detectable imprint on the
low-energy spectrum. However, the instability occurs at 10^{18} eV,
suggestively in the energy range of detectable ultra-high-energy cosmic rays,
thereby making this truly non-Hermitian effect and its generalizations of
phenomenological interest for high-energy particle physics.

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The categories of this paper are: adap-org
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg