Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chaos in chiral condensates in gauge theories   Assigning a chaos index for dynamics of generic quantum field theories is a
challenging problem, because the notion of Lyapunov exponent, which is useful
for singling out chaotic behaviors, works only in classical systems. We address
the issue by using the AdS/CFT correspondence, as the large $N_c$ limit
provides a classicalization (other than the standard $\hbar \to 0$) while
keeping nontrivial quantum condensation. We demonstrate the chaos in the
dynamics of quantum gauge theories: Time evolution of homogeneous quark
condensates $\langle \bar{q}q\rangle$ and $\langle \bar{q} \gamma_5 q\rangle$
in an ${\cal N}=2$ supersymmetric QCD with the $SU(N_c)$ gauge group at large
$N_c$ and at large 't Hooft coupling $\lambda \equiv N_c g_{\rm YM}^2$ exhibits
a positive Lyapunov exponent. The chaos dominates the phase space for energy
density $E \gtrsim (6\times 10^2)\times m_q^4(N_c/\lambda^2) $ where $m_q$ is
the quark mass. We evaluate the largest Lyapunov exponent as a function of
$(N_c,\lambda,E)$ and find that the ${\cal N}=2$ supersymmetric QCD is more
chaotic for smaller $N_c$.

10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
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The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn