Wilson lines in the MHV action
The MHV action is the YangMills action quantized on the lightfront, where the two explicit physical gluonic degrees of freedom have been canonically transformed to a new set of fields. This transformation leads to the action with vertices being offshell continuations of the MHV amplitudes. We show that the solution to the field transformation expressing one of the new fields in terms of the YangMills field is a certain type of the Wilson line. More precisely, it is a straight infinite gauge link with a slope extending to the lightcone minus and the transverse direction. One of the consequences of that fact is that certain MHV vertices reduced partially onshell are gauge invariant — a fact discovered before using conventional lightfront perturbation theory. We also analyze the diagrammatic content of the field transformations leading to the MHV action. We found that the diagrams for the solution to the transformation (given by the Wilson line) and its inverse differ only by lightfront energy denominators. Further, we investigate the coordinate space version of the inverse solution to the one given by the Wilson line. We find an explicit expression given by a power series in fields. We also give a geometric interpretationmore »
 Authors:

^{[1]};
^{[1]}
 Pennsylvania State Univ., University Park, PA (United States). Physics Dept.
 Publication Date:
 Grant/Contract Number:
 FG0293ER40771; SC0002145; 2015/17/B/ST2/01838
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 9; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Pennsylvania State Univ., University Park, PA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26); Polish National Science Centre (NCN)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; scattering amplitudes; perturbative QCD
 OSTI Identifier:
 1425577
Kotko, P., and Stasto, A. M.. Wilson lines in the MHV action. United States: N. p.,
Web. doi:10.1007/JHEP09(2017)047.
Kotko, P., & Stasto, A. M.. Wilson lines in the MHV action. United States. doi:10.1007/JHEP09(2017)047.
Kotko, P., and Stasto, A. M.. 2017.
"Wilson lines in the MHV action". United States.
doi:10.1007/JHEP09(2017)047. https://www.osti.gov/servlets/purl/1425577.
@article{osti_1425577,
title = {Wilson lines in the MHV action},
author = {Kotko, P. and Stasto, A. M.},
abstractNote = {The MHV action is the YangMills action quantized on the lightfront, where the two explicit physical gluonic degrees of freedom have been canonically transformed to a new set of fields. This transformation leads to the action with vertices being offshell continuations of the MHV amplitudes. We show that the solution to the field transformation expressing one of the new fields in terms of the YangMills field is a certain type of the Wilson line. More precisely, it is a straight infinite gauge link with a slope extending to the lightcone minus and the transverse direction. One of the consequences of that fact is that certain MHV vertices reduced partially onshell are gauge invariant — a fact discovered before using conventional lightfront perturbation theory. We also analyze the diagrammatic content of the field transformations leading to the MHV action. We found that the diagrams for the solution to the transformation (given by the Wilson line) and its inverse differ only by lightfront energy denominators. Further, we investigate the coordinate space version of the inverse solution to the one given by the Wilson line. We find an explicit expression given by a power series in fields. We also give a geometric interpretation to it by means of a specially defined vector field. Finally, we discuss the fact that the Wilson line solution to the transformation is directly related to the alllike helicity gluon wave function, while the inverse functional is a generating functional for solutions of selfdual YangMills equations.},
doi = {10.1007/JHEP09(2017)047},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2017,
place = {United States},
year = {2017},
month = {9}
}