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arXiv · 1504.05959

Two-loop renormalization of multiflavor $\phi^3$ theory in six dimensions and the trace anomaly

Benjamin Grinstein·Andreas Stergiou·David Stone·Ming Zhong
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Abstract

We use the background-field method and the heat kernel to obtain all counterterms to two-loop order of conformally-coupled multiflavor $\phi^3$ theory in six spacetime dimensions, defined in curved spacetime and with spacetime-dependent couplings. We also include spacetime-dependent mass terms for completeness. We use these results to write a general expression for the trace anomaly. With the use of Weyl consistency conditions we are able to show that the strong $a$-theorem for a certain natural candidate quantity $\tilde{a}$ is violated in this theory, and obtain a three-loop expression for the coefficient $a$ of the Euler term in the anomaly.

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Benjamin Grinstein, Andreas Stergiou, David Stone, Ming Zhong. 2015-04-22. Two-loop renormalization of multiflavor $\phi^3$ theory in six dimensions and the trace anomaly. https://doi.org/10.1103/physrevd.92.045013

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