PIRSA:22040042

Nonlinear Bosonization of Fermi Surfaces: The Method of Coadjoint Orbits

APA

Thanh Son, D. (2022). Nonlinear Bosonization of Fermi Surfaces: The Method of Coadjoint Orbits . Perimeter Institute. https://pirsa.org/22040042

MLA

Thanh Son, Dam. Nonlinear Bosonization of Fermi Surfaces: The Method of Coadjoint Orbits . Perimeter Institute, Apr. 05, 2022, https://pirsa.org/22040042

BibTex

          @misc{ pirsa_22040042,
            doi = {},
            url = {https://pirsa.org/22040042},
            author = {Thanh Son, Dam},
            keywords = {Condensed Matter},
            language = {en},
            title = {Nonlinear Bosonization of Fermi Surfaces: The Method of Coadjoint Orbits },
            publisher = {Perimeter Institute},
            year = {2022},
            month = {apr},
            note = {PIRSA:22040042 see, \url{https://pirsa.org}}
          }
          

Abstract

We develop a new method for bosonizing the Fermi surface. In this method, a system with a Fermi surface is described as a coadjoint orbit of the group of canonical transformations. The method naturally parametrizes the Fermi surface by a bosonic field that depends on the spacetime coordinates and the position on the Fermi surface. The Wess-Zumino-Witten term in the effective action, governing the adiabatic phase acquired when the Fermi surface changes its shape, is completely fixed by the Kirillov-Kostant-Souriau symplectic form on the coadjoint orbit. We show that the resulting local effective field theory captures both linear and nonlinear effects in Landau’s Fermi liquid theory. Possible extensions of the theory are described.  Reference: arXiv:2203.05004.

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