Related Experiment Video
Updated: May 8, 2025
07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
8.5K
Wilson Loops with Lagrangians: Large-Spin Operator Product Expansion and Cusp Anomalous Dimension Dictionary
Till Bargheer1, Carlos Bercini1, Bruno Fernandes2
1Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607 Hamburg, Germany.
Physical Review Letters
|April 25, 2025
Summary
This study explores correlation functions in conformal gauge theory, linking Lagrangian structure constants to anomalous dimensions. The findings reveal universal behaviors and recover the cusp anomalous dimension across coupling strengths.
Area of Science:
- High-energy physics
- Quantum field theory
- Conformal field theory
Background:
- Planar conformal gauge theories exhibit complex correlation functions.
- Understanding these functions is key to probing fundamental interactions.
- Scalar primaries and interaction Lagrangians are crucial components.
Purpose of the Study:
- Investigate five-point correlation functions involving the interaction Lagrangian.
- Express these correlators using three-point functions and operator product expansions (OPEs).
- Compute structure constants for leading-twist operators in N=4 super Yang-Mills theory.
Main Methods:
- Utilized light-cone operator product expansions (OPEs).
- Employed perturbation theory up to two loops for finite spin.
- Applied null polygon kinematics and dualities with Wilson loops for large spin analysis.
- Leveraged factorization properties to bootstrap universal behavior.
Main Results:
- Expressed five-point correlators in terms of three-point functions.
- Computed structure constants for leading-twist operators.
- Found explicit maps relating Lagrangian structure constants and anomalous dimensions.
- Recovered the cusp anomalous dimension at strong and weak coupling.
Conclusions:
- The study provides a comprehensive analysis of correlation functions in planar conformal gauge theory.
- Established a connection between Lagrangian structure constants and anomalous dimensions.
- Validated results by recovering the cusp anomalous dimension, offering insights into quantum field theory at various coupling regimes.
More Related Videos
Related Concept Videos
01:08Spin–Spin Coupling Constant: Overview
843
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
843
01:22Second Derivatives and Laplace Operator
1.2K
The first order operators using the del operator include the gradient, divergence and curl. Certain combinations of first order operators on a scalar or vector function yield second order expressions. Second-order expressions play a very important role in mathematics and physics. Some second order expressions include the divergence and curl of a gradient function, the divergence and curl of a curl function, and the gradient of a divergence function.
Consider a scalar function. The curl of its...
Consider a scalar function. The curl of its...
1.2K
01:26Divergence and Curl of Magnetic Field
2.7K
The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
2.7K
01:17Spin–Spin Coupling: One-Bond Coupling
907
Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
907
01:27¹H NMR: Long-Range Coupling
1.5K
The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
1.5K
01:20Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)
903
Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
903