Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large $N$ limit of the $O(N)$ linear sigma model in 3D   In this paper we study the large N limit of the $O(N)$-invariant linear sigma
model, which is a vector-valued generalization of the $\Phi^4$ quantum field
theory, on the three dimensional torus. We study the problem via its stochastic
quantization, which yields a coupled system of N interacting SPDEs. We prove
tightness of the invariant measures in the large N limit. For large enough mass
or small enough coupling constant, they converge to the (massive) Gaussian free
field at a rate of order $1/\sqrt N$ with respect to the Wasserstein distance.
We also obtain tightness results for certain $O(N)$ invariant observables.
These generalize some of the results in \cite{SSZZ20} from two dimensions to
three dimensions. The proof leverages the method recently developed by
\cite{GH18} and combines many new techniques such as uniform in $N$ estimates
on perturbative objects as well as the solutions.

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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con