Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computational Methods in Quantum Field Theory   After a brief introduction to the statistical description of data, these
lecture notes focus on quantum field theories as they emerge from lattice
models in the critical limit. For the simulation of these lattice models,
Markov chain Monte-Carlo methods are widely used. We discuss the heat bath and,
more modern, cluster algorithms. The Ising model is used as a concrete
illustration of important concepts such as correspondence between a theory of
branes and quantum field theory or the duality map between strong and weak
couplings. The notes then discuss the inclusion of gauge symmetries in lattice
models and, in particular, the continuum limit in which quantum Yang-Mills
theories arise.

28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol