Two-dimensional Quantum Field Theory, examples and applications

E. Abdalla

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arXiv · hep-th/9704192

Two-dimensional Quantum Field Theory, examples and applications

E. Abdalla

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Abstract

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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E. Abdalla. 1997-04-26. Two-dimensional Quantum Field Theory, examples and applications. https://arxiv.org/abs/hep-th/9704192

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