Nonlinear evolution in the colour glass condensate
The Colour Glass Condensate is used as an effective theory to study Quantum
Chromodynamics at high energies in various scattering processes. Several evolution
equations are discussed, in particular the JIMWLK (Jalilian-Marian–Iancu–
McLerran–Weigert–Leonidov–Kovner) equation. This is studied in two equivalent
pictures, namely the Fokker–Planck formalism and the Langevin formalism. From
the latter, we show how BFKL (Balitsky–Fadin–Kuraev–Lipatov) dynamics emerge
in the dilute limit. This is discussed further in Paper [II]. From the Fokker–Planck
formalism, we use the Gaussian Approximation scheme to study several different
types of correlators of fundamental Wilson lines. The 6-point correlators that appear
in the next-to-leading order BK (Balitsky–Kovchegov) equation are calculated –
their numerical implementation is covered in Paper [III]. Finally, the Gaussian
Approximation is extended as a means to derive an evolution equation for the
so-called odderon. Simple correlators are also calculated to see how their parametric
equations are modified. The extended approximation scheme and the numerical
implementation of the odderon are studied further in Paper [I].
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Publisher
Jyväskylän yliopistoISBN
978-951-39-8750-3ISSN Search the Publication Forum
2489-9003Contains publications
- Artikkeli I: Lappi, T., Ramnath, A., Rummukainen, K., & Weigert, H. (2016). JIMWLK evolution of the odderon. Physical Review D, 94(5), Article 054014. DOI: 10.1103/PhysRevD.94.054014. JYX: jyx.jyu.fi/handle/123456789/51606
- Artikkeli II: Lappi, T., & Ramnath, A. (2019). Unequal rapidity correlators in the dilute limit of the JIMWLK evolution. Physical Review D, 100(5), Article 054003. DOI: 10.1103/PhysRevD.100.054003
- Artikkeli III: Lappi, T., Mäntysaari, H., & Ramnath, A. (2020). Next-to-leading order Balitsky-Kovchegov equation beyond large Nc. Physical Review D, 102(7), Article 074027. DOI: 10.1103/physrevd.102.074027
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- JYU Dissertations [806]
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