Exponentiation for products of Wilson lines within the generating function approach
(2015) In Journal of High Energy Physics- Abstract
- We present the generating function approach to the perturbative exponentiation of correlators of a product of Wilson lines and loops. The exponentiated expression is presented in closed form as an algebraic function of correlators of known operators, which can be seen as a generating function for web diagrams. The expression is naturally split onto two parts: the exponentiation kernel, which accumulates all non-trivial information about web diagrams, and the defect of exponentiation, which reconstructs the matrix exponent and is a function of the exponentiation kernel. The detailed comparison of the presented approach with existing approaches to exponentiation is presented as well. We also give examples of calculations within the... (More)
- We present the generating function approach to the perturbative exponentiation of correlators of a product of Wilson lines and loops. The exponentiated expression is presented in closed form as an algebraic function of correlators of known operators, which can be seen as a generating function for web diagrams. The expression is naturally split onto two parts: the exponentiation kernel, which accumulates all non-trivial information about web diagrams, and the defect of exponentiation, which reconstructs the matrix exponent and is a function of the exponentiation kernel. The detailed comparison of the presented approach with existing approaches to exponentiation is presented as well. We also give examples of calculations within the generating function exponentiation, namely, we consider different configurations of light-like Wilson lines in the multi-gluon-exchange-webs (MGEW) approximation. Within this approximation the corresponding correlators can be calculated exactly at any order of perturbative expansion by only algebraic manipulations. The MGEW approximation shows violation of the dipole formula for infrared singularities at three-loop order. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/7600689
- author
- Vladimirov, Alexey LU
- organization
- publishing date
- 2015
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Wilson, 't Hooft and Polyakov loops, Resummation, QCD, Parton Model
- in
- Journal of High Energy Physics
- issue
- 6
- article number
- 120
- publisher
- Springer
- external identifiers
-
- wos:000356727200001
- scopus:84935003730
- ISSN
- 1029-8479
- DOI
- 10.1007/JHEP06(2015)120
- project
- Postdoc Alexey Vladimirov
- language
- English
- LU publication?
- yes
- id
- 8f5d5a76-a69a-4f74-834d-a0803502cdde (old id 7600689)
- date added to LUP
- 2016-04-01 10:20:42
- date last changed
- 2024-01-21 11:53:26
@article{8f5d5a76-a69a-4f74-834d-a0803502cdde,
abstract = {{We present the generating function approach to the perturbative exponentiation of correlators of a product of Wilson lines and loops. The exponentiated expression is presented in closed form as an algebraic function of correlators of known operators, which can be seen as a generating function for web diagrams. The expression is naturally split onto two parts: the exponentiation kernel, which accumulates all non-trivial information about web diagrams, and the defect of exponentiation, which reconstructs the matrix exponent and is a function of the exponentiation kernel. The detailed comparison of the presented approach with existing approaches to exponentiation is presented as well. We also give examples of calculations within the generating function exponentiation, namely, we consider different configurations of light-like Wilson lines in the multi-gluon-exchange-webs (MGEW) approximation. Within this approximation the corresponding correlators can be calculated exactly at any order of perturbative expansion by only algebraic manipulations. The MGEW approximation shows violation of the dipole formula for infrared singularities at three-loop order.}},
author = {{Vladimirov, Alexey}},
issn = {{1029-8479}},
keywords = {{Wilson; 't Hooft and Polyakov loops; Resummation; QCD; Parton Model}},
language = {{eng}},
number = {{6}},
publisher = {{Springer}},
series = {{Journal of High Energy Physics}},
title = {{Exponentiation for products of Wilson lines within the generating function approach}},
url = {{http://dx.doi.org/10.1007/JHEP06(2015)120}},
doi = {{10.1007/JHEP06(2015)120}},
year = {{2015}},
}