PIRSA:14050014

Renormalization Group Analysis of a Non-Fermi Liquid System

Mandal, I. (2014). Renormalization Group Analysis of a Non-Fermi Liquid System. Perimeter Institute. https://pirsa.org/14050014

Mandal, Ipsita. Renormalization Group Analysis of a Non-Fermi Liquid System. Perimeter Institute, May. 01, 2014, https://pirsa.org/14050014 

          @misc{ pirsa_PIRSA:14050014,
            doi = {10.48660/14050014},
            url = {https://pirsa.org/14050014},
            author = {Mandal, Ipsita},
            keywords = {},
            language = {en},
            title = {Renormalization Group Analysis of a Non-Fermi Liquid System},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {may},
            note = {PIRSA:14050014 see, \url{https://pirsa.org}}
          }

Ipsita Mandal Polish Academy of Sciences (PAS) - Institute of Nuclear Physics

DOI 10.48660/14050014
Collection
Talk Type Conference

Abstract

We devise a renormalization group analysis for quantum field theories with Fermi surface to study scaling behaviour of non- Fermi liquid states in a controlled approximation. The non-Fermi liquid fixed points are identified from a Fermi surface in (m+1) spatial dimensions, while the co-dimension of Fermi surface is also extended to a generic value. We also study superconducting instability in such systems as a function of dimension and co-dimension of the Fermi surface. The key point in this whole analysis is that unlike in relativistic QFT, the Fermi momentum kF enters as a dimensionful parameter, thus modifying the naive scaling arguments. The effective coupling constant is found to be a combination of the original coupling constant and kF.