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A semi-infinite matrix analysis of the B...

de León, N. Bethenc...

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A semi-infinite matrix analysis of the BFKL equation by de León, N. Bethencourt ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	11-08-2023
Summary	The forward BFKL equation is discretised in virtuality space and it is shown that the diffusion into infrared and ultraviolet momenta can be understood in terms of a semi-infinite matrix. The square truncation of this matrix can be exponentiated leading to asymptotic eigenstates sharing many features with the BFKL gluon Green's function in the limit of large matrix size. This truncation is closely related to a representation of the XXX Heisenberg spin $= - \frac{1}{2}$ chain with SL(2) invariance where the Hamiltonian acts on a symmetric double copy of the harmonic oscillator. A simple modification of the BFKL matrix suppressing the infrared modes generates evolution with energy compatible with unitarity.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1111.4553

Citation

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AMA 11th EditionReferences

de León, N. Bethencourt. A semi-infinite matrix analysis of the BFKL equation. Australian National University. August 11, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/15759

APA 7th EditionReferences

de León, N. Bethencourt. (2023). A semi-infinite matrix analysis of the BFKL equation. Australian National University. https://online.provdatabase.com/cite/15759

Chicago 17th EditionReferences

de León, N. Bethencourt. A semi-infinite matrix analysis of the BFKL equation. Australian National University. 2023. https://online.provdatabase.com/cite/15759

HarvardReferences

de León, N. Bethencourt. (2023). A semi-infinite matrix analysis of the BFKL equation. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/15759. (Accessed 02 October 2025).

Harvard AustraliaReferences

de León, N. Bethencourt, 2023, A semi-infinite matrix analysis of the BFKL equation, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/15759>

MLA 9th EditionWorks Cited

de León, N. Bethencourt. A semi-infinite matrix analysis of the BFKL equation. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/15759.

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