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arXiv · 1307.6932

Quantization of n coupled scalar field theory

Yong-Wan Kim·Yun Soo Myung·Young-Jai Park
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Abstract

We study a model of n coupled scalar fields in Minkowski spacetime where all masses degenerate, which is considered as a toy model of polycritical gravity on AdS spacetime. We quantize this model within the Becchi-Rouet-Stora-Tyutin (BRST) scheme by introducing n Faddeev-Popov (FP) ghost fields. Extending a BRST quartet generated by two scalars and two FP ghosts to n scalars and n FP ghosts, there remains a physical subspace with positive norm for odd n, but there exists only the vacuum for even n. This clearly shows a non-triviality of odd-higher order derivative scalar field theories. This is helpful to understand the truncation mechanism which is used to obtain a unitary conformal field theory dual to linearized polycritical gravity. It turns out that the truncation mechanism is nothing but a general quartet mechanism appeared when introducing the FP ghost action.

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Yong-Wan Kim, Yun Soo Myung, Young-Jai Park. 2013-10-12. Quantization of n coupled scalar field theory. https://doi.org/10.1103/physrevd.88.085032

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