Results 21 to 30 of about 2,654,747 (240)
Scalar tilt from broken conformal invariance [PDF]
Within recently proposed scenario which explains flatness of the spectrum of scalar cosmological perturbations by a combination of conformal and global symmetries, we discuss the effect of weak breaking of conformal invariance. We find that the scalar power spectrum obtains a small tilt which depends on both the strength of conformal symmetry breaking ...
arxiv +1 more source
A scaling limit for line and surface defects
We study symmetry-breaking line defects in the Wilson-Fisher theory with O(2N + 1) global symmetry near four dimensions and symmetry-preserving surface defects in a cubic model with O(2N) global symmetry near six dimensions.
D. Rodriguez-Gomez
doaj +1 more source
On emergent conformal symmetry near the photon ring
In this note we revisit the emergent conformal symmetry in the near-ring region of warped spacetime. In particular, we propose a novel construction of the emergent near-ring sl(2, ℝ)QNM symmetry.
Bin Chen, Yehui Hou, Zezhou Hu
doaj +1 more source
Conformal Bootstrap Dashing Hopes of Emergent Symmetry [PDF]
We use the conformal bootstrap program to derive necessary conditions for emergent symmetry enhancement from discrete symmetry (e.g. $\mathbb{Z}_n$) to continuous symmetry (e.g. $U(1)$) under the renormalization group flow. In three dimensions, in order for $\mathbb{Z}_2$ symmetry to be enhanced to $U(1)$ symmetry, the conformal bootstrap program ...
arxiv +1 more source
Renormalization group flows between Gaussian fixed points
A scalar theory can have many Gaussian (free) fixed points, corresponding to Lagrangians of the form ϕ□ n ϕ. We use the non-perturbative RG to study examples of flows between such fixed points. We show that the anomalous dimension changes continuously in
Diego Buccio, Roberto Percacci
doaj +1 more source
A note on defect Mellin amplitudes
We generalize the Mellin representation for a generic co-dimension flat defect CFT. We study the analytic structure of the Mellin amplitudes. We also compute Witten diagrams for a generic co-dimension flat defect CFT.
Vasco Goncalves, Georgios Itsios
doaj +1 more source
The epsilon expansion of the O(N) model with line defect from conformal field theory
We employ the axiomatic framework of Rychkov and Tan to investigate the critical O(N) vector model with a line defect in (4 − ϵ) dimensions. We assume the fixed point is described by defect conformal field theory and show that the critical value of the ...
Tatsuma Nishioka+2 more
doaj +1 more source
Notes on a surface defect in the O(N) model
We study a surface defect in the free and critical O(N) vector models, defined by adding a quadratic perturbation localized on a two-dimensional subspace of the d-dimensional CFT.
Simone Giombi, Bowei Liu
doaj +1 more source
Chiral Scale and Conformal Invariance in 2D Quantum Field Theory [PDF]
It is well known that a local, unitary Poincare-invariant 2D QFT with a global scaling symmetry and a discrete non-negative spectrum of scaling dimensions necessarily has both a left and a right local conformal symmetry. In this paper we consider a chiral situation beginning with only a left global scaling symmetry and do not assume Lorentz invariance.
arxiv +1 more source
This review discusses the use of Surface‐Enhanced Raman Spectroscopy (SERS) combined with Artificial Intelligence (AI) for detecting antimicrobial resistance (AMR). Various SERS studies used with AI techniques, including machine learning and deep learning, are analyzed for their advantages and limitations.
Zakarya Al‐Shaebi+4 more
wiley +1 more source