Abstract: In most textbook examples of the renormalization group, integrating out high-energy modes can be captured by RG equations for a few parameters. However, this simplification does not always hold. For instance, in Fermi liquids, the full momentum dependence of the four-point vertex on the Fermi surface must be retained. In this talk, I will introduce the functional renormalization group (fRG) method, which systematically handles such momentum-dependent interactions. In this talk, I will focus on the application of the functional renormalization group to strongly correlated systems, though its potential applications in other areas are also of interest.
Ref:
[1] Metzner, W., Salmhofer, M., Honerkamp, C., Meden, V., & Schönhammer, K. (2012). Functional renormalization group approach to correlated fermion systems. Reviews of Modern Physics, 84(1), 299-352.
[2] Halboth, C. J., & Metzner, W. (2000). Renormalization-group analysis of the two-dimensional Hubbard model. Physical Review B, 61(11), 7364.