Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interacting Weyl fermions: Phases, phase transitions and global phase
  diagram   We study the effects of short-range interactions on a generalized
three-dimensional Weyl semimetal, where the band touching points act as the
(anti)monopoles of Abelian Berry curvature of strength $n$. We show that any
local interaction has a \emph{negative} scaling dimension $-2/n$. Consequently
all Weyl semimetals are stable against weak short-range interactions. For
sufficiently strong interactions, we demonstrate that the Weyl semimetal either
undergoes a first order transition into a band insulator or a continuous
transition into a symmetry breaking phase. A translational symmetry breaking
axion insulator and a rotational symmetry breaking semimetal are two prominent
candidates for the broken symmetry phase. At the one-loop order, the
correlation length exponent for continuous transitions is $\nu=n/2$, indicating
their non-Gaussian nature for any $n>1$. We also discuss the scaling of the
thermodynamic and transport quantities in general Weyl semimetals as well as
inside the broken symmetry phases.

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The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th