Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral gap critical exponent for Glauber dynamics of hierarchical spin
  models   We develop a renormalisation group approach to deriving the asymptotics of
the spectral gap of the generator of Glauber type dynamics of spin systems with
strong correlations (at and near a critical point). In our approach, we derive
a spectral gap inequality for the measure recursively in terms of spectral gap
inequalities for a sequence of renormalised measures. We apply our method to
hierarchical versions of the $4$-dimensional $n$-component $|\varphi|^4$ model
at the critical point and its approach from the high temperature side, and of
the $2$-dimensional Sine-Gordon and the Discrete Gaussian models in the rough
phase (Kosterlitz--Thouless phase). For these models, we show that the spectral
gap decays polynomially like the spectral gap of the dynamics of a free field
(with a logarithmic correction for the $|\varphi|^4$ model), the scaling limit
of these models in equilibrium.

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The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
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The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: eess
11
The categories of this paper are: hep-lat