Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

8.1K
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
8.1K
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

7.6K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half...
7.6K
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

7.8K
A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
7.8K
Gauss's Law01:07

Gauss's Law

7.5K
If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
7.5K
Mohr's Circle for Plane Strain01:18

Mohr's Circle for Plane Strain

627
Mohr's circle is a crucial graphical method used to analyze plane strain by plotting strain on a set of cartesian coordinates, where the abscissa is normal strain ∈ and the ordinate is shear strain γ. Similarly to Mohr’s circle for plane stress, two points X and Y are plotted. Their coordinates are (∈x, -γXY) and (∈Y, γXY), respectively.
Mohr's circle visually represents the strain states under various conditions, which is essential for...
627
Region of Convergence of Laplace Tarnsform01:20

Region of Convergence of Laplace Tarnsform

641
The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This...
641

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Polyphenols as next-generation prebiotics targeting intestinal mucosal tolerance.

Biomedicine & pharmacotherapy = Biomedecine & pharmacotherapie·2026
Same author

Oleacein prevents metabolic dysfunction-associated hepatic steatosis and dyslipidaemia in ApoE-KO mice.

Food & function·2026
Same author

Identification of colorectal malignancies enabled by phasor-based autofluorescence lifetime macroimaging and ensemble learning.

Biophotonics discovery·2026
Same author

Distress in Family Members of Patients With Delirium in an Acute Palliative Care Unit - A Cross-Sectional Survey Study.

The American journal of hospice & palliative care·2026
Same author

Claudin and Rab proteins are key molecular components involved in coccidiosis resistance in Portuguese Merino sheep.

Genetics, selection, evolution : GSE·2025
Same author

Wearable Multispectral Sensor for Newborn Jaundice Monitoring.

Sensors (Basel, Switzerland)·2025

Related Experiment Video

Updated: Aug 18, 2025

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.6K

Null Polygons in Conformal Gauge Theory.

Enrico Olivucci1, Pedro Vieira1,2

  • 1Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.

Physical Review Letters
|December 9, 2022
PubMed
Summary
This summary is machine-generated.

Researchers studied correlation functions in conformal gauge theories using a double-scaling limit. They discovered these correlators are uniquely fixed by coupled lattice partial differential equations (PDEs) of Toda type.

More Related Videos

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
10:56

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

12.2K
Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels
11:34

Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

Published on: September 8, 2016

10.4K

Related Experiment Videos

Last Updated: Aug 18, 2025

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.6K
Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
10:56

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

12.2K
Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels
11:34

Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

Published on: September 8, 2016

10.4K

Area of Science:

  • High Energy Physics
  • Quantum Field Theory
  • String Theory

Background:

  • Correlation functions are crucial for understanding quantum field theories.
  • Null polygon methods provide a framework for calculating these functions.
  • Double-scaling limits simplify complex theoretical calculations.

Purpose of the Study:

  • To analyze correlation functions of single trace operators in a specific double-scaling limit.
  • To explore the behavior of these functions near cusps of null polygons.
  • To identify the underlying mathematical structures governing these correlators.

Main Methods:

  • Investigating correlation functions in a double-scaling limit with fixed cusp times and small 't Hooft coupling.
  • Utilizing techniques involving stampedes and symbols.
  • Applying educated guesses to deduce mathematical properties.

Main Results:

  • Any correlator in this limit can be uniquely determined.
  • The determination involves a set of coupled lattice partial differential equations (PDEs) of the Toda type.
  • These PDEs exhibit novel and intriguing features.

Conclusions:

  • The findings provide a powerful method for fixing correlation functions in specific theoretical regimes.
  • The results are applicable to a broad class of conformal gauge theories with many colors, including planar N=4 Super Yang-Mills (SYM).
  • This work offers new insights into the structure of strongly coupled quantum field theories.