Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Avoided Phase Transitions and Glassy Dynamics In Geometrically
  Frustrated Systems and Non-Abelian Theories   We demonstrate that the application of any external uniform non-abelian gauge
background, no matter how small, leads to a greatly enhanced degeneracy. This
degeneracy is so large that even a non-abelian background field of
infinitesimal strength leads to a shocking change in the thermodynamics. The
critical temperature might be discontinuously depressed and an "avoided
critical point" will emerge. Similar models were previously employed to
describe the micropscopics of metallic glasses and correctly predicted the
locations of the structure factor peaks. We will compare one of the fitted
parameters in these plots (the magnitude of the "avoided critical temperature"
for each of the supercooled liquids) and demonstrate that, on average, these
might be well predicted by our microscopic picture. We find a generalized
version of the Mermin-Wagner inequality which connects the magnitude of the
order parameter (the absence of entropic effects) to the characteristic
relaxation times present in any system. We derive Vogel-Fulcher dynamics for a
multitude of glass models (including non-Abelian gauge backgrounds), and try to
fortify earlier ideas suggesting avoided critical dynamics.

23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th