Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evaluating Critical Exponents in the Optimized Perturbation Theory   We use the optimized perturbation theory, or linear delta expansion, to
evaluate the critical exponents in the critical 3d O(N) invariant scalar field
model. Regarding the implementation procedure, this is the first successful
attempt to use the method in this type of evaluation. We present and discuss
all the associated subtleties producing a prescription which can, in principle,
be extended to higher orders in a consistent way. Numerically, our approach,
taken at the lowest nontrivial order (second order) in the delta expansion
produces a modest improvement in comparison to mean field values for the
anomalous dimension eta and correlation length nu critical exponents. However,
it nevertheless points to the right direction of the values obtained with other
methods, like the epsilon-expansion. We discuss the possibilities of improving
over our lowest order results and on the convergence to the known values when
extending the method to higher orders.

1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat