Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic Quantization of Autonomous Phi**4   The non-perturbative autonomous renormalization of the scalar $\Phi^4$-model
is applied in the framework of stochastic quantization. I show that this
requires a selective, momentum-dependent renormalization of the Onsager
coefficient $\lambda$, a direct consequence of the characteristic wavefunction
renormalization applied. As a result, I obtain a Langevin equation for the
renormalized constant mode of the field, which is solved numerically. It is
demonstrated for temperature zero that, starting from specified initial
conditions, the system relaxes to its equilibrium state, the symmetry-breaking
vacuum of the ``static'' $\Phi^4$-theory.

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The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ