TY - JOUR
T1 - Classical 3-loop 2-body diagrams
AU - Kol, Barak
AU - Shir, Ruth
PY - 2013
Y1 - 2013
N2 - As part of the study of the two-body problem in Einstein's gravity, the fourth post-Newtonian order (4PN) of the two-body effective action is being computed presently by both effective field theory (EFT) methods and others. Diagrams with 3 (or 4) classical loops appear to be a significant obstacle. In this paper we develop a method to compute such 3-loop diagrams and demonstrate it through a specific diagram. We reduce the classical diagrams through shrinking the body worldlines to a form more familiar in Quantum Field Theory. A key ingredient in the evaluation is the Integration By Parts method for Feynman integrals.
AB - As part of the study of the two-body problem in Einstein's gravity, the fourth post-Newtonian order (4PN) of the two-body effective action is being computed presently by both effective field theory (EFT) methods and others. Diagrams with 3 (or 4) classical loops appear to be a significant obstacle. In this paper we develop a method to compute such 3-loop diagrams and demonstrate it through a specific diagram. We reduce the classical diagrams through shrinking the body worldlines to a form more familiar in Quantum Field Theory. A key ingredient in the evaluation is the Integration By Parts method for Feynman integrals.
KW - Classical Theories of Gravity
KW - Field Theories in Lower Dimensions
UR - http://www.scopus.com/inward/record.url?scp=84884740844&partnerID=8YFLogxK
U2 - 10.1007/JHEP09(2013)069
DO - 10.1007/JHEP09(2013)069
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AN - SCOPUS:84884740844
SN - 1126-6708
VL - 2013
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 9
M1 - 69
ER -