Two-loop renormalization of multiflavor theory in six dimensions and the trace anomaly
Apr 22, 2015
19 pages
Published in:
- Phys.Rev.D 92 (2015) 4, 045013
- Published: Aug 11, 2015
e-Print:
- 1504.05959 [hep-th]
Report number:
- UCSD-PTH-05-01
Citations per year
Abstract: (APS)
We use the background-field method and the heat kernel to obtain all counterterms to two-loop order of conformally coupled multiflavor ϕ3 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 a˜ is violated in this theory and obtain a three-loop expression for the coefficient a of the Euler term in the anomaly.Note:
- 31 pages. v2: Equation (4.16) corrected. The discussion in sections 3 and 6 contains errors that have been addressed in arXiv:1604.01782
- 03.70.+k
- 11.10.Gh
- space-time: dimension: 6
- coupling: space-time dependence
- mass: space-time dependence
- trace anomaly
- background field
- renormalization
- heat kernel
- anomaly
References(42)
Figures(0)
- [1]
- [1]
- [1]
- [1]
- [2]
- [2]
- [3]
- [4]
- [5]
- [6]
- [7]
- [8]
- [9]
- [10]
- [11]
- [12]
- [13]
- [14]
- [15]
- [16]
- [17]
- [18]
- [19]
- [20]
- [21]