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Phases of Surface Defects in Scalar Field Theories

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arxiv 2305.11370 v3 pith:64CHUHBL submitted 2023-05-19 hep-th cond-mat.stat-mech

Avia Raviv-Moshe , Siwei Zhong This is my paper
classification hep-thcond-mat.stat-mech
keywords defectsscalardefectflowfreephasessurfacetheories
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abstract

We study mass-type surface defects in a free scalar and Wilson-Fisher (WF) $O(N)$ theories. We obtain exact results for the free scalar defect, including its RG flow and defect Weyl anomaly. We classify phases of such defects at the WF fixed point near four dimensions, whose perturbative RG flow is investigated. We propose an IR effective action for the non-perturbative regime and check its self-consistency.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Rank matching in renormalization-group irreversibility: Exact defect and entropic tests

    hep-th 2026-08 conditional novelty 7.0 of 10

    A counting rule ("rank matching") separates RG endpoint inequalities from running monotonicity, with exact defect b-function transitions and an F-loss profile reversal.

  2. Ising surface defects can get dirty

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Replica one-loop RG of Wilson-Fisher theory with surface random field yields a mixed-stable dirty defect fixed point and logarithmic multiplets in the N o0 limit.

  3. Chiral algebra correlators of the $6$d, $\mathcal{N}=(2,0)$ theory with a defect

    hep-th 2025-06 conditional novelty 4.0 of 10

    A chiral-algebra bootstrap reproduces the defect two-point correlators of the 6d (2,0) theory using only bulk-channel data and predicts new defect-channel OPE coefficients.

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