Article ID Journal Published Year Pages File Type
5494806 Physics Letters B 2017 6 Pages PDF
Abstract
The presence of an isotropic tricritical Lifshitz point for the O(N) scalar theory is investigated at large N in the improved Local Potential Approximation (LPA′) by means of the Functional Renormalization Group equations. At leading order, the non-trivial Lifshitz point is observed if the number of dimensions d is taken between d=4 and d=8, and the eigenvalue spectrum of the associated eigendirections is derived. At order 1/N of the LPA′ the anomalous dimension ηN is computed and it is found to vanish both in d=4 and d=8. The dependence of our findings on the infrared regulator is discussed.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Nuclear and High Energy Physics
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