Geometrical causality: casting Feynman integrals into quantum algorithms

Authors

  • German Fabricio Roberto Sborlini Deutsches Elektronen-Synchrotron DESY

DOI:

https://doi.org/10.31349/SuplRevMexFis.4.021103

Keywords:

Quantum field theories, Hamiltonian, loop-tree duality

Abstract

The calculation of higher-order corrections in Quantum Field Theories is a challenging task. In particular, dealing with multiloop and multileg Feynman amplitudes leads to severe bottlenecks and a very fast scaling of the computational resources required to perform the calculation. With the purpose of overcoming these limitations, we discuss efficient strategies based on the Loop-Tree Duality, its manifestly causal representation and the underlying geometrical interpretation. In concrete, we exploit the geometrical causal selection rules to define a Hamiltonian whose ground-state is directly related to the terms contributing to the causal representation. In this way, the problem can be translated into a minimization one and implemented in a quantum computer to search for a potential speed-up.

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Published

2023-09-18

How to Cite

1.
Sborlini GFR. Geometrical causality: casting Feynman integrals into quantum algorithms. Supl. Rev. Mex. Fis. [Internet]. 2023 Sep. 18 [cited 2024 Apr. 14];4(2):021103 1-7. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/7105