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Getting a Handle on Correlation Functions

2026/02/28 by Gernot Eichmann
Physics and Astronomy · Mathematics · #Quantum and Classical Electrodynamics #Algebraic and Geometric Analysis #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.3390/particles9020052

Abstract

The central objects in a quantum field theory are its n-point correlation functions and matrix elements. Their structure is determined by Lorentz invariance and leads to tensor decompositions, the Lorentz-invariant coefficient functions of which encode the physics of the process. For growing n, the complexity of these objects may increase considerably and make it challenging to deal with them. Here, we give a pedagogical introduction to the topic and provide some tools to manage this complexity, and we will show how symmetries can be used as organizing principles.

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