Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic quantization and holographic Wilsonian renormalization group
  of scalar theories with arbitrary mass   We have studied a mathematical relationship between holographic Wilsonian
renormalization group(HWRG) and stochastic quantization(SQ) of scalar field
with arbitrary mass in AdS spacetime. In the stochastic theory, the field is
described by an equation with a form of harmonic oscillator with time dependent
frequency and its Euclidean action also shows explicit time dependent kernel in
it. We have obtained the stochastic 2-point correlation function and
demonstrate that it reproduces the radial evolution of the double trace
operator correctly via the suggested relation given in arXiv:1209.2242.
Moreover, we justify our stochastic procedure with time dependent kernel by
showing that it can be mapped to a new stochastic frame with a standard kernel
without time dependence. Finally, we consider more general boundary conditions
for the stochastic field to reproduce the radial evolution of the holographic
boundary effective action when alternative quantization is allowed. We
extensively study the Neumann boundary condition case and confirm that even in
this case, the relation between HWRG and SQ is precisely hold.

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The categories of this paper are: plasm-ph
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
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The categories of this paper are: econ
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
16
The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat