Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multicanonical study of $D=2$ $O(3)$ nonlinear $\sigma$-model   We present a new and exploratory approach to determine the
$\Delta\beta(\beta)$-shift in the $O(3)$ nonlinear $\sigma$-model. The method
is based on a scaling hypothesis for a free energy difference, which is assumed
to be valid in a situation where the mass gap correlation length $\xi$ is of
the order or larger than the linear extent $L$ of the considered square lattice
sizes. The free energy difference arises from the finite volume constraint
effective potential of the theory. While the constraint effective potential is
calculated in numerical simulations employing a variant of the multicanonical
ensemble on medium sized lattices, it is possible to estimate
$\Delta\beta(\beta)$ up to a value of $\beta=2.8$ in the standard
parameterization of the model.

33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th