Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The perturbative structure of spin glass field theory   Cubic replicated field theory is used to study the glassy phase of the
short-range Ising spin glass just below the transition temperature, and for
systems above, at, and slightly below the upper critical dimension six. The
order parameter function is computed up to two-loop order. There are two,
well-separated bands in the mass spectrum, just as in mean field theory. The
small mass band acts as an infrared cutoff, whereas contributions from the
large mass region can be computed perturbatively (d>6), or interpreted by the
epsilon-expansion around the critical fixed point (d=6-epsilon). The one-loop
calculation of the (momentum-dependent) longitudinal mass, and the whole
replicon sector is also presented. The innocuous behavior of the replicon
masses while crossing the upper critical dimension shows that the ultrametric
replica symmetry broken phase remains stable below six dimensions.

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The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin