Related Experiment Video
Updated: Jan 26, 2026
08:10
Precision Milling of Carbon Nanotube Forests Using Low Pressure Scanning Electron Microscopy
Published on: February 5, 2017
7.8K
Two-Loop Five-Point Amplitude in N=4 Super-Yang-Mills Theory
Samuel Abreu1, Lance J Dixon2, Enrico Herrmann2
1Center for Cosmology, Particle Physics and Phenomenology (CP3), Université Catholique de Louvain, 1348 Louvain-La-Neuve, Belgium.
Physical Review Letters
|April 13, 2019
Summary
Researchers computed the symbol for two-loop five-point scattering amplitudes in N=4 supersymmetric Yang-Mills theory. This includes the full color dependence and results for nonplanar massless master integrals.
Area of Science:
- High-energy theoretical physics
- Quantum field theory
- Supersymmetric gauge theories
Background:
- Scattering amplitudes are fundamental to understanding particle interactions.
- N=4 supersymmetric Yang-Mills theory is a key model in quantum field theory due to its rich mathematical structure and dualities.
- The symbol calculus provides a powerful framework for organizing and computing scattering amplitudes.
Purpose of the Study:
- To compute the symbol of the two-loop five-point scattering amplitude in N=4 supersymmetric Yang-Mills theory.
- To include the full color dependence in the calculation.
- To construct the symbol of all relevant two-loop five-point nonplanar massless master integrals.
Main Methods:
- Symbolic computation techniques.
- Application of the symbol calculus to scattering amplitudes.
- Derivation of master integrals for nonplanar diagrams.
Main Results:
- The full symbol of the two-loop five-point scattering amplitude in N=4 supersymmetric Yang-Mills theory has been computed.
- The complete color dependence of the amplitude has been determined.
- Explicit results for the symbols of all two-loop five-point nonplanar massless master integrals are provided.
Conclusions:
- The computation provides a significant advancement in understanding scattering amplitudes in N=4 supersymmetric Yang-Mills theory.
- The explicit results for master integrals will be valuable for future amplitude calculations.
- This work contributes to the ongoing development of the symbol calculus in theoretical physics.
Related Concept Videos
02:35Band Theory
17.1K
When two or more atoms come together to form a molecule, their atomic orbitals combine and molecular orbitals of distinct energies result. In a solid, there are a large number of atoms, and therefore a large number of atomic orbitals that may be combined into molecular orbitals. These groups of molecular orbitals are so closely placed together to form continuous regions of energies, known as the bands.
The energy difference between these bands is known as the band gap.
Conductor, Semiconductor,...
The energy difference between these bands is known as the band gap.
Conductor, Semiconductor,...
17.1K
02:42Valence Bond Theory
11.3K
Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
11.3K
02:45Valence Bond Theory
50.0K
Overview of Valence Bond Theory
50.0K
02:31Scientific Laws and Theories
87.7K
Scientific Laws
87.7K
00:56Attribution Theory
13.8K
Behavior is a product of both the situation (e.g., cultural influences, social roles, and the presence of bystanders) and of the person (e.g., personality characteristics). Subfields of psychology tend to focus on one influence or behavior over others. Situationism is the view that our behavior and actions are determined by our immediate environment and surroundings. In contrast, dispositionism holds that our behavior is determined by internal factors (Heider, 1958).
13.8K
02:59The Atomic Theory of Matter
127.3K
The earliest recorded discussion of the basic structure of matter comes from ancient Greek philosophers. Leucippus and Democritus argued that all matter was composed of small, finite particles that they called atomos, meaning “indivisible.” Later, Aristotle and others came to the conclusion that matter consisted of various combinations of the four “elements” — fire, earth, air, and water — and could be infinitely divided. Interestingly, these philosophers...
127.3K