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Related Experiment Video

Updated: Jun 18, 2026

Setting Limits on Supersymmetry Using Simplified Models

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

Minimal basis for gauge theory amplitudes.

N E J Bjerrum-Bohr¹, Poul H Damgaard, Pierre Vanhove

¹Niels Bohr International Academy, The Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark. bjbohr@nbi,dk

Physical Review Letters

|November 13, 2009

Summary

Monodromy identities in string theory reveal relationships between color-ordered amplitudes. This simplifies gauge theory amplitudes, showing they can be expressed using a minimal set of basis amplitudes.

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Area of Science:

Theoretical Physics
String Theory
High-Energy Physics

Background:

Color-ordered amplitudes are fundamental in gauge theories.
String theory provides a framework for understanding these amplitudes.
Monodromy relations offer new insights into amplitude structures.

Purpose of the Study:

To derive relations between different color-ordered tree-level amplitudes using monodromy identities.
To establish a minimal basis for expanding these amplitudes.
To demonstrate the universality of these findings across different string theories and dimensions.

Main Methods:

Utilizing identities based on monodromy for integrations.
Applying these identities to both bosonic and supersymmetric string theory.
Analyzing the structure of n-point gauge theory amplitudes.

Main Results:

Derived relations between various color-ordered tree-level amplitudes.
Established that color-ordered tree-level n-point gauge theory amplitudes can be expanded in a minimal basis.
The basis consists of (n-3)! amplitudes, independent of external state polarizations and dimensions.

Conclusions:

Monodromy-based identities provide a powerful tool for simplifying amplitude calculations.
A universal minimal basis exists for color-ordered tree-level gauge theory amplitudes.
These findings have broad implications for theoretical physics and quantum field theory.