English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We develop a self-contained approach to bosonization and refermionizationusing the Keldysh functional integral. Starting from fermionic particles, webosonize the system and obtain a description in terms of the Tomonaga-Luttingerliquid, with, in addition, an infinite series of interaction terms arising fromthe curvature of the fermionic particle spectrum. We explicitly calculate theleading interaction term and check its consistency with a different approachbased on the Matsubara framework, within which we calculate the second leadinginteraction term, as well. Moreover, we bosonize weakly and stronglyinteracting bosonic particles, and, finally, refermionize interacting phononsinto non-interacting fermionic quasiparticles. The work culminates in a mapbetween bosonic and fermionic particles and effective bosonic and fermionicexcitations, representing phonons and fermionic quasiparticles.

Nonlinear Bosonization and Refermionization in One Dimension with the Keldysh Functional Integral