Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Applications of Jarzynski's relation in lattice gauge theories   Jarzynski's equality is a well-known result in statistical mechanics,
relating free-energy differences between equilibrium ensembles with
fluctuations in the work performed during non-equilibrium transformations from
one ensemble to the other. In this work, an extension of this relation to
lattice gauge theory will be presented, along with numerical results for the
$\mathbb{Z}_2$ gauge model in three dimensions and for the equation of state in
$\mathrm{SU}(2)$ Yang-Mills theory in four dimensions. Then, further
applications will be discussed, in particular for the Schr\"odinger functional
and for the study of QCD in strong magnetic fields.

31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin