Two-dimensional Quantum Field Theory, examples and applications

Details Two-dimensional Quantum Field Theory, examples and applications Two-dimensional Quantum Field Theory, examples and applications

1997-04-26

arxiv.org/abs/hep-th/9704192v1

Physics

High Energy Physics

High Energy Physics - Theory

latex file, 65 pages. Work presented at CIMAF-97, Havana, Cuba, march/97

Scientific paper

The main principles of two-dimensional quantum field theories, in particular two-dimensional QCD and gravity are reviewed. We study non-perturbative aspects of these theories which make them particularly valuable for testing ideas of four-dimensional quantum field theory. The dynamics of confinement and theta vacuum are explained by using the non-perturbative methods developed in two dimensions. We describe in detail how the effective action of string theory in non-critical dimensions can be represented by Liouville gravity. By comparing the helicity amplitudes in four-dimensional QCD to those of integrable self-dual Yang-Mills theory, we extract a four dimensional version of two dimensional integrability.

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