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Exponentiation for products of Wilson lines within the generating function approach

Vladimirov, Alexey LU (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)
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author
organization
publishing date
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
publisher
Springer
external identifiers
  • wos:000356727200001
  • scopus:84935003730
ISSN
1126-6708
DOI
10.1007/JHEP06(2015)120
language
English
LU publication?
yes
id
8f5d5a76-a69a-4f74-834d-a0803502cdde (old id 7600689)
date added to LUP
2015-07-23 12:49:45
date last changed
2017-02-26 03:09:17
@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.},
  articleno    = {120},
  author       = {Vladimirov, Alexey},
  issn         = {1126-6708},
  keyword      = {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},
  year         = {2015},
}