Quantum Field Theories on Null Surfaces

Details Quantum Field Theories on Null Surfaces Quantum Field Theories on Null Surfaces

2000-02-22

arxiv.org/abs/hep-th/0002177v3

Int.J.Mod.Phys. A16 (2001) 1789

Physics

High Energy Physics

High Energy Physics - Theory

25 pages LaTex, no figures, new comments added to the conclusion,corrected e-mail address

Scientific paper

10.1142/S0217751X01003421

We study the behaviour of quantum field theories defined on a surface $S$ as it tends to a null surface $S_n$. In the case of a real, free scalar field theory the above limiting procedure reduces the system to one with a finite number of degrees of freedom. This system is shown to admit a one parameter family of inequivalent quantizations. A duality symmetry present in the model can be used to remove the quantum ambiguity at the self-dual point . In the case of the non-linear $\sigma$-model with the Wess-Zumino-Witten term a similar limiting behaviour is obtained. The quantization ambiguity in this case however cannot be removed by any means.

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