Dirac traces and the Tutte polynomial
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13130_2025_Article_26310.pdf
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476.34 KB
Format
Adobe PDF
Checksum (MD5)
29e8ffe5c5be4a0795f7f023e34b33e0
Author(s)
Lin, Joshua
Date Issued
May 28, 2025
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Lin, J. Dirac traces and the Tutte polynomial. J. High Energ. Phys. 2025, 235 (2025).
Version
Final published version
Abstract
Perturbative calculations involving fermion loops in quantum field theories require tracing over Dirac matrices. A simple way to regulate the divergences that generically appear in these calculations is dimensional regularisation, which has the consequence of replacing 4-dimensional Dirac matrices with d-dimensional counterparts for arbitrary complex values of d. In this work, a connection between traces of d-dimensional Dirac matrices and computations of the Tutte polynomial of associated graphs is proven. The time complexity of computing Dirac traces is analysed by this connection, and improvements to algorithms for computing Dirac traces are proposed.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP05(2025)235
