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An exact method for bosonizing the Fermi surface in arbitrary dimensions

by Takamori Park, Leon Balents

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Submission summary

Authors (as registered SciPost users): Takamori Park
Submission information
Preprint Link: scipost_202401_00033v1  (pdf)
Date accepted: 2024-02-21
Date submitted: 2024-01-25 17:49
Submitted by: Park, Takamori
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
Approach: Theoretical


Inspired by the recent work by Delacretaz et. al., we rigorously derive an exact and simple method to bosonize a non-interacting fermionic system with a Fermi surface starting from a microscopic Hamiltonian. In the long-wavelength limit, we show that the derived bosonized action is exactly equivalent to the action obtained by Delacretaz et. al. In addition, we propose diagrammatic rules to evaluate correlation functions using our bosonized theory and demonstrate these rules by calculating the three- and four-point density correlation functions. We also consider a general density-density interaction and show that the simplest approximation in our bosonic theory is identical to RPA results.

Author comments upon resubmission

Dear Editors,

We have made changes to the manuscript based on the suggestions and questions of the referees. In addition, we have submitted responses to the individual referee reports as replies to their posts.

Takamori Park, Leon Balents

List of changes

1. A new section was added to the appendix (Appendix B) that explicitly shows how the three- and four-point density correlation function calculated in our bosonization formalism matches the corresponding fermion loop calculations.
2. An additional paragraph was added to the end of Section 3.1 that provides more details on how to evaluate correlation functions.
3. A paragraph was added to the discussion section (Section 4) on the connection to 1D bosonization and calculation of the anomalous dimension.
4. All typographical and grammatical errors were corrected.

Published as SciPost Phys. 16, 069 (2024)

Reports on this Submission

Anonymous Report 2 on 2024-2-15 (Invited Report)


I am happy with the revised draft version and recommend it for publication.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
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Anonymous Report 1 on 2024-2-1 (Invited Report)


I am happy with the revised draft and all the changes. I recommend the publication of this article.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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