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Quantization of N Coupled Scalar Field Theory by Kim, Yong-Wan; Myung, Yun Soo; Park, Young-Jai is a scholarly article available to read on EtoBox.

What is Quantization of N Coupled Scalar Field Theory about?

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.

Author

Kim, Yong-Wan; Myung, Yun Soo; Park, Young-Jai

Published

2013

Language

EN