Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetries of Thirring models on 3d lattices   We review some recent developments about strongly interacting relativistic
Fermi theories in three spacetime dimensions. These models realize the
asymptotic safety scenario and are used to describe the low-energy properties
of Dirac materials in condensed matter physics. We begin with a general
discussion of the symmetries of multi-flavor Fermi systems in arbitrary
dimensions. Then we review known results about the critical flavor number
$N_\mathrm{crit}$ of Thirring models in three dimensions. Only models with
flavor number below $N_\mathrm{crit}$ show a phase transition from a
symmetry-broken strong-coupling phase to a symmetric weak-coupling phase.
Recent simulations with chiral fermions show that $N_\mathrm{crit}$ is smaller
than previously extracted with various non-perturbative methods. Our
simulations with chiral SLAC fermions reveal that for four-component flavors
$N_\mathrm{crit}=0.80(4)$. This means that all reducible Thirring models with
$\Nr=1,2,3,\dots$ show no phase transition with order parameter. Instead we
discover footprints of phase transitions without order parameter. These new
transitions are probably smooth and could be used to relate the lattice
Thirring models to Thirring models in the continuum. For a single irreducible
flavor, we provide previously unpublished values for the critical couplings and
critical exponents.

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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: math
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg