Edwin Langmann
Noncommutative field theories, exact solutions, and 2D
correlated systems
I will discuss examples of quantum field theories on
noncommutative spaces which can be solved exactly. These models have
relatives which describe exactly solvable quantum many-body systems in
two space dimensions and with non-trivial spatial correlations. This
class of models provide interesting variational states for realistic
2D interacting fermion- and boson models which allow to generalize
mean field theory so as to take into account non-trivial spatial
correlations. I will discuss the relevance of these models in the
context of condensed matter physics.
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