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Interface Junctions in QCD${}_4$

by Pranay Gorantla, Ho Tat Lam

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Pranay Gorantla · Ho Tat Lam
Submission information
Preprint Link: scipost_202103_00009v1  (pdf)
Date accepted: 2021-03-29
Date submitted: 2021-03-05 19:51
Submitted by: Lam, Ho Tat
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


We study 3+1 dimensional $SU(N)$ Quantum Chromodynamics (QCD) with $N_f$ degenerate quarks that have a spatially varying complex mass. It leads to a network of interfaces connected by interface junctions. We use anomaly inflow to constrain these defects. Based on the chiral Lagrangian and the conjectures on the interfaces, characterized by a spatially varying $\theta$-parameter, we propose a low-energy description of such networks of interfaces. Interestingly, we observe that the operators in the effective field theories on the junctions can carry baryon charges, and their spin and isospin representations coincide with baryons. We also study defects, characterized by spatially varying coupling constants, in 2+1 dimensional Chern-Simons-matter theories and in a 3+1 dimensional real scalar theory.

Published as SciPost Phys. 10, 085 (2021)

Author comments upon resubmission

We thank the referees for helpful comments. We have improved the draft to address the comments. The changes are listed below.

List of changes

1. We have changed the sentence above (2.11) from ``The Wess-Zumino term does depend on...'' to ``The Wess-Zumino term does not depend on...''
2. We have added the summation symbols in (2.12) and (5.17) to clarify the summation.
3. We have added a sentence in the last paragraph of section 5: ``Hence we conclude that $N_f>2$ proposal is also valid at $N_f=2$ for both $\varepsilson\ll1$ and $\varepsilon\sim1$.''
4. We have changed the sentence in the second paragraph of section 6 to ``For $N_f = 2$, the two interfaces from infinity no longer connect into one straight interface along the y axis instead they are connected at the origin at an

Reports on this Submission

Anonymous Report 1 on 2021-3-17 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:scipost_202103_00009v1, delivered 2021-03-17, doi: 10.21468/SciPost.Report.2711


I have taken notice of the revisions on the manuscript that the authors have implemented. They clarify completely the points that I had raised. I had already stated my favorable opinion for publication of this paper on SciPost, which I thus confirm without further delay.

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