Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum State Dependence of Thermodynamic Phase Transition in 4D AdS
  Gauss-Bonnet Quantum Black Holes Surrounded With Cloud of Strings   According to the Lovelock theorem where the model \cite{Glav} could not
applicable for Einstein Gauss Bonnet (EGB) gravity in all 4D curved spacetimes,
authors of the reference \cite{ali} presented an effective model by applying
break of diffeomorphism property. Hence we use the latter model instead of
former for study of thermodynamic behavior of a 4D AdS EGB spherically
symmetric static black hole which surrounded with a cloud of string. In short
our work is extension of the works given by \cite{Veer,Heg} but not by using
\cite{Glav} but by applying \cite{ali}. Our metric solutions are obtained
versus the Hermite polynomials (quantum harmonic Oscillator) for which eigen
values come from single scale defined by multiplication of the coupling
constants of the model: Namely the regularized GB parameter, AdS radius, the
black hole ADM mass and the string tension. Hence we claim the obtained metric
solution is in fact behavior of quantized black hole. Because the GB term is
originated from renormalization of quantum matter fields. Also we should
pointed that this kind of quantization is different with the canonical
quantization (Wheeler De Witt). Our study shows that all phase transitions of
this quantum black hole are dependent to the Hermite quantum numbers.

10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex