Pith. sign in

REVIEW 4 cited by

Scaling dimensions in QED$_3$ from the $\epsilon$-expansion

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1708.03740 v1 pith:TW3ISDV6 submitted 2017-08-12 hep-th cond-mat.str-el

Lorenzo Di Pietro , Emmanuel Stamou This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords dimensionsepsilonoperatorsorderscalingestimateexpansionfour-fermion
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We study the fixed point that controls the IR dynamics of QED in $d = 4 - 2\epsilon$. We derive the scaling dimensions of four-fermion and bilinear operators beyond leading order in $\epsilon$-expansion. For the four-fermion operators, this requires the computation of a two-loop mixing that was not known before. We then extrapolate these scaling dimensions to $d = 3$ to estimate their value at the IR fixed point of QED$_3$ as function of the number of fermions $N_f$. The next-to-leading order result for the four-fermion operators corrects significantly the leading one. Our best estimate at this order indicates that they do not cross marginality for any value of $N_f$, which would imply that they cannot trigger a departure from the conformal phase. For the scaling dimensions of bilinear operators, we observe better convergence as we increase the order. In particular, $\epsilon$-expansion provides a convincing estimate for the dimension of the flavor-singlet scalar in the full range of $N_f$.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

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

  1. General Four-Loop Beta Function for Scalar-Fermion Theories in Three Dimensions

    hep-th 2025-12 conditional novelty 7.0 of 10

    General four-loop beta functions and anomalous dimensions for 3D scalar–fermion theories, cross-checked against N=1/N=2 supersymmetry, with a new large-N infrared fixed point.

  2. Topological phase transitions between bosonic and fermionic quantum Hall states near even-denominator filling factors

    cond-mat.mes-hall 2025-08 unverdicted novelty 7.0 of 10

    The transition between Jain and daughter quantum Hall states is mapped to an E8 to trivial transition and predicted to split into at least eight transitions with intermediate topological phases.

  3. Numerical determination of monopole scaling dimension in parity-invariant three-dimensional non-compact QED

    hep-lat 2019-08 conditional novelty 7.0 of 10

    Monte Carlo measurement gives monopole scaling dimension Delta(12)=3.24(24), consistent with large-N theory, and positive finite-N corrections for N=2,4 that disagree in sign with the leading 1/N expansion.

  4. Central charges $C_J$ and $C_T$ in QED$_d$-GNY model and scalar QED$_d$

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Computes O(1/N) corrections to central charges C_J and C_T in conformal QED_d-GNY and scalar QED_d models, obtains scaling dimensions of adjoint bilinears, and finds reasonable agreement with SO(5) DQCP estimates from...

Pith tools