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Defects in scalar field theories, RG flows and Dimensional Disentangling

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arxiv 2209.00663 v2 pith:Q5WN5ZEP submitted 2022-09-01 hep-th

D. Rodriguez-Gomez , J.G. Russo This is my paper · ORCID
classification hep-th
keywords defectepsilontheorybulkcouplingsdependencefieldfixed
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider defect operators in scalar field theories in dimensions $d=4-\epsilon $ and $d=6-\epsilon$ with self-interactions given by a general marginal potential. In a double scaling limit, where the bulk couplings go to zero and the defect couplings go to infinity, the bulk theory becomes classical and the quantum defect theory can be solved order by order in perturbation theory. We compute the defect $\beta $ functions to two loops and study the Renormalization Group flows. The defect fixed points can move and merge, leading to fixed point annihilation; and they exhibit a remarkable factorization property where the $\epsilon$-dependence gets disentangled from the coupling dependence.

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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. Monodromy Defects in Maximally Supersymmetric Yang-Mills Theories from Holography

    hep-th 2025-12 conditional novelty 6.0 of 10

    Codimension-2 monodromy defects in p=2,3,4 maximal SYM are realized by re-interpreting spindle solutions, and their defect entanglement entropy is shown to be proportional to the ambient free energy.

  2. Gradient Flows and the Curvature of Theory Space

    hep-th 2025-02 conditional novelty 6.0 of 10

    The space of multiscalar field theories carries a curved metric determined by gradient flow, and the gradient-flow potential and metric can be matched to F-tilde and the Zamolodchikov metric at fixed points.

  3. A relativistic continuous matrix product state study of field theories with defects

    hep-th 2025-01 conditional novelty 6.0 of 10

    Expectation values of local operators in phi^4 theory with a magnetic line defect are computed non-perturbatively using relativistic continuous matrix product states, by rotating Euclidean time so the defect becomes a...

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