https://doi.org/10.1140/epjc/s10052-017-5208-8
Regular Article - Theoretical Physics
One-loop light-cone QCD, effective action for reggeized gluons and QCD RFT calculus
1
Physics Department, Ariel University, 40700, Ariel, Israel
2
St. Petersburg State University, St. Petersburg, 199034, Russia
3
Petersburg Nuclear Physics Institute, Gatchina, 188300, Russia
* e-mail: sergeyb@ariel.ac.il
Received:
17
August
2017
Accepted:
4
September
2017
Published online:
21
September
2017
The effective action for reggeized gluons is based on the gluodynamic Yang–Mills Lagrangian with external current for longitudinal gluons added, see Lipatov (Nucl Phys B 452:369, 1995; Phys Rep 286:131, 1997; Subnucl Ser 49:131, 2013; Int J Mod Phys Conf Ser 39:1560082, 2015; Int J Mod Phys A 31(28/29):1645011, 2016; EPJ Web Conf 125:01010, 2016). On the base of classical solutions, obtained in Bondarenko et al. (Eur Phys J C 77(8):527, 2017), the one-loop corrections to this effective action in light-cone gauge are calculated. The RFT calculus for reggeized gluons similarly to the RFT introduced in Gribov (Sov Phys JETP 26:414, 1968) is proposed and discussed. The correctness of the results is verified by calculation of the propagators of 
and 
reggeized gluons fields and application of the obtained results is discussed as well.
© The Author(s), 2017
