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

Extraction: Partition and Distribution Coefficients01:14

Extraction: Partition and Distribution Coefficients

2.5K
The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an...
2.5K
Space-Time Curvature and the General Theory of Relativity01:17

Space-Time Curvature and the General Theory of Relativity

2.7K
In 1905, Albert Einstein published his special theory of relativity. According to this theory, no matter in the universe can attain a speed greater than the speed of light in a vacuum, which thus serves as the speed limit of the universe.
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of...
2.7K
Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

221
Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
221
Force and Potential Energy in Three Dimensions01:04

Force and Potential Energy in Three Dimensions

4.9K
Consider a particle moving under the action of a conservative force that has components along each coordinate axis. Each component of force is a function of the coordinates. The potential energy function U is also a function of all three spatial coordinates. Force in one dimension can be written as the negative ratio of potential energy change to the displacement along that coordinate. For minimal displacement, the ratios become derivatives. If a function has many variables, the derivative only...
4.9K
Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

8.0K
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...
8.0K
Second Uniqueness Theorem01:16

Second Uniqueness Theorem

1.0K
Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the...
1.0K

You might also read

Related Articles

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

Sort by
Same author

Supertranslations and Superrotations at the Black Hole Horizon.

Physical review letters·2016
See all related articles

Related Experiment Video

Updated: Jul 11, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

9.7K

3D Quantum Gravity Partition Function at Three Loops.

Mauricio Leston1,2, Andrés Goya1, Guillem Pérez-Nadal2

  • 1Instituto de Astronomía y Física del Espacio IAFE-CONICET, Ciudad Universitaria, IAFE, 1428 Buenos Aires, Argentina.

Physical Review Letters
|November 17, 2023
PubMed
Summary

Higher-order calculations in three-dimensional quantum gravity confirm the partition function is one-loop exact. Explicit computations show remarkable cancellations, verifying the vanishing of contributions beyond the first loop.

More Related Videos

Hi-C: A Method to Study the Three-dimensional Architecture of Genomes.
22:27

Hi-C: A Method to Study the Three-dimensional Architecture of Genomes.

Published on: May 6, 2010

409.1K
Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.6K

Related Experiment Videos

Last Updated: Jul 11, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

9.7K
Hi-C: A Method to Study the Three-dimensional Architecture of Genomes.
22:27

Hi-C: A Method to Study the Three-dimensional Architecture of Genomes.

Published on: May 6, 2010

409.1K
Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.6K

Area of Science:

  • Theoretical Physics
  • Quantum Gravity
  • String Theory

Background:

  • The partition function of three-dimensional quantum gravity is conjectured to be one-loop exact.
  • Perturbative calculations are crucial for understanding quantum field theories.

Purpose of the Study:

  • To explicitly verify the vanishing of higher-order contributions in the perturbative expansion of the three-dimensional quantum gravity partition function.
  • To investigate the validity of the one-loop exactness conjecture.

Main Methods:

  • Employed the second-order metric formulation for explicit computation.
  • Utilized dimensional regularization to solve one-particle irreducible Feynman diagrams.
  • Analyzed contributions at two and three loops, involving gravitons and ghosts.

Main Results:

  • All two-loop diagrams involving gravitons and ghosts were found to vanish separately after regularization.
  • At three loops, a significant cancellation among nine specific diagrams resulted in a vanishing contribution.
  • The explicit computation supports the one-loop exactness of the partition function.

Conclusions:

  • The study provides explicit computational evidence for the one-loop exactness of the partition function in three-dimensional quantum gravity.
  • The demonstrated techniques are applicable to higher-loop calculations and computations in higher dimensions.