Localized magnetic field in the O(N) model

Cuomo, Gabriel; Komargodski, Zohar

doi:10.1007/jhep02(2022)134

Cited by 43 publications

(86 citation statements)

References 81 publications

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“…One conceptual point that will be crucial later is that the leading in s behavior is analogous to the one which is obtained by considering a symmetry breaking source localized on a line in the free theory, δS ∝ dτ φ 1 , i.e. the external field (or pinning field) defect, see [29]. In fact, as eq.…”

Section: 33mentioning

confidence: 93%

“…While this paper is focused on the spin impurities, there are various other interesting defects in the O(N ) model. For instance, the effect of a magnetic field localized in space, a setup which is particularly relevant for Monte Carlo simulations [44], was considered in [28,29,45,46]. The line defect that describes a localized magnetic field will be referred to as the "pinning field defect QFT" (DQFT).…”

Section: Spin Impuritiesmentioning

confidence: 99%

“…A major simplification occurs for s → ∞ for all d, including both d → 4 and also for d = 3 which is the most interesting case experimentally. The prediction is that for s → ∞ the theory breaks up into a weakly-decoupled sector of fluctuations with target space S 2 and a special DCFT that was studied before [28,29,45,46] called hereafter the pinning field DCFT. • We are able to verify this prediction for the large s limit of the spin impurity within the ε expansion.…”

Section: Spin Impuritiesmentioning

confidence: 99%

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Spin Impurities, Wilson Lines and Semiclassics

Cuomo,

Komargodski,

Mezei

et al. 2022

Preprint

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We consider line defects with large quantum numbers in conformal field theories. First, we consider spin impurities, both for a free scalar triplet and in the Wilson-Fisher O(3) model. For the free scalar triplet, we find a rich phase diagram that includes a perturbative fixed point, a new nonperturbative fixed point, and runaway regimes. To obtain these results, we develop a new semiclassical approach. For the Wilson-Fisher model, we propose an alternative description, which becomes weakly coupled in the large spin limit. This allows us to chart the phase diagram and obtain numerous rigorous predictions for large spin impurities in 2 + 1 dimensional magnets. Finally, we also study 1/2-BPS Wilson lines in large representations of the gauge group in rank-1 N = 2 superconformal field theories. We contrast the results with the qualitative behavior of large spin impurities in magnets.

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Section: 33mentioning

confidence: 93%

Section: Spin Impuritiesmentioning

confidence: 99%

Section: Spin Impuritiesmentioning

confidence: 99%

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Spin Impurities, Wilson Lines and Semiclassics

Cuomo,

Komargodski,

Mezei

et al. 2022

Preprint

Self Cite

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“…The study of (1.1) is of interest, in particular, in the context of 1d defect QFT, see e.g. [6,7,8,3,9,10,11] for related work, and [12,13,14] for other examples of RG flows on line defects. Let us first summarize some previous results.…”

Section: Introductionmentioning

confidence: 99%

“…impurity in the (free) Op3q vector model (see e.g. [20,21] and references therein, and also [14] for a related discussion).…”

Section: Introductionmentioning

confidence: 99%

Wilson loop in general representation and RG flow in 1d defect QFT

Beccaria,

Giombi,

Tseytlin

2022

Preprint

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The generalized Wilson loop operator interpolating between the supersymmetric and the ordinary Wilson loop in N " 4 SYM theory provides an interesting example of renormalization group flow on a line defect: the scalar coupling parameter ζ has a non-trivial beta function and may be viewed as a running coupling constant in a 1d defect QFT. In this paper we continue the study of this operator, generalizing previous results for the beta function and Wilson loop expectation value to the case of an arbitrary representation of the gauge group and beyond the planar limit. Focusing on the scalar ladder limit where the generalized Wilson loop reduces to a purely scalar line operator in a free adjoint theory, and specializing to the case of the rank k symmetric representation of SU pN q, we also consider a certain "semiclassical" limit where k is taken to infinity with the product k ζ 2 fixed. This limit can be conveniently studied using a 1d defect QFT representation in terms of N commuting bosons. Using this representation, we compute the beta function and the circular loop expectation value in the large k limit, and use it to derive constraints on the structure of the beta function for general representation. We discuss the corresponding 1d RG flow and comment on the consistency of the results with the 1d defect version of the F-theorem.

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A dispersion relation for defect CFT

Barrat

Liendo

2023

J. High Energ. Phys.

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We present a dispersion relation for defect CFT that reconstructs two-point functions in the presence of a defect as an integral of a single discontinuity. The main virtue of this formula is that it streamlines explicit bootstrap calculations, bypassing the resummation of conformal blocks. As applications we reproduce known results for monodromy defects in the epsilon-expansion, and present new results for the supersymmetric Wilson line at strong coupling in $$ \mathcal{N} $$ N = 4 SYM. In particular, we derive a new analytic formula for the highest R-symmetry channel of single-trace operators of arbitrary length.

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Localized magnetic field in the O(N) model

Cited by 43 publications

References 81 publications

Spin Impurities, Wilson Lines and Semiclassics

Spin Impurities, Wilson Lines and Semiclassics

Wilson loop in general representation and RG flow in 1d defect QFT

A dispersion relation for defect CFT

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