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• W2806427364 abstract "The presence of isotropic Lifshitz points for a U(1) symmetric scalar theory is investigated with the help of the Functional Renormalization Group at the conjectured lower critical dimension d=4. To this aim, a suitable truncation in the expansion of the effective action in powers of the field is considered and, consequently, the Renormalization Group flow is reduced to a set of ordinary differential equations for the parameters that define the effective action. Within this approximation, indications of a line of Lifshitz points are found, that present evident similarities with the properties shown by the line of fixed points observed in the two dimensional Berezinsky-Kosterlitz-Thouless phase. In particular, this line of Lifshitz points exhibits the vanishing of the expectation value of the field, together with a finite stiffness and, for specific combinations of the parameters that define the effective action, also the algebraic decay at large distance of the order parameter correlations." @default.
• W2806427364 created "2018-06-13" @default.
• W2806427364 creator A5058627882 @default.
• W2806427364 date "2018-10-08" @default.
• W2806427364 modified "2023-10-03" @default.
• W2806427364 title "Indications of isotropic Lifshitz points in four dimensions" @default.
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• W2806427364 doi "https://doi.org/10.1103/physrevd.98.085005" @default.
• W2806427364 hasPublicationYear "2018" @default.
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