Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anomalous Scaling of the SO(8) Symmetric Phases in the Two-Leg Ladder   We carry out a complete analytical stability study for the SO(8) symmetric
phases in the weakly-interacting two-leg ladder. It is shown that the SO(8)
symmetry is robust under generic perturbations. Since there are no fixed points
in the one-loop renormalization group equations, the conventional
classification of relevant and irrelevant perturbations fails in this case. A
new classification is defined and explained in detail. It leads to the
anomalous scaling in the ratios of excitation gaps and an universal exponent
1/3 is extracted. This new method is also applied to the well studied 2D Ising
model and similar exponent is calculated.

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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: math
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con