Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inhomogeneous field theory inside the arctic circle   Motivated by quantum quenches in spin chains, a one-dimensional toy-model of
fermionic particles evolving in imaginary-time from a domain-wall initial state
is solved. The main interest of this toy-model is that it exhibits the arctic
circle phenomenon, namely a spatial phase separation between a critically
fluctuating region and a frozen region. Large-scale correlations inside the
critical region are expressed in terms of correlators in a (euclidean)
two-dimensional massless Dirac field theory. It is observed that this theory is
inhomogenous: the metric is position-dependent, so it is in fact a Dirac field
theory in curved space. The technique used to solve the toy-model is then
extended to deal with the transfer matrices of other models: dimers on the
honeycomb and square lattice, and the six-vertex model at the free fermion
point ($\Delta=0$). In all cases, explicit expressions are given for the
long-range correlations in the critical region, as well as for the underlying
Dirac action. Although the setup developed here is heavily based on fermionic
observables, the results can be translated into the language of height
configurations and of the gaussian free field, via bosonization. Correlations
close to the phase boundary and the generic appearance of Airy processes in all
these models are also briefly revisited in the appendix.

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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph