Gluing Ladder Feynman Diagrams into Fishnets
We use integrability at weak coupling to compute fishnet diagrams for fourpoint correlation functions in planar Φ ^{4} theory. Our results are always multilinear combinations of ladder integrals, which are in turn built out of classical polylogarithms. The Steinmann relations provide a powerful constraint on such linear combinations, which leads to a natural conjecture for any fishnet diagram as the determinant of a matrix of ladder integrals.
 Authors:

^{[1]};
^{[2]}
 PSL Research Univ., Paris (France)
 SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States); Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
 Publication Date:
 Report Number(s):
 SLACPUB16967
Journal ID: ISSN 00319007; PRLTAO; TRN: US1702819
 Grant/Contract Number:
 AC02–76SF00515; NSF PHY1125915
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 119; Journal Issue: 7; Journal ID: ISSN 00319007
 Publisher:
 American Physical Society (APS)
 Research Org:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org:
 USDOE; National Science Foundation (NSF)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1389318
 Alternate Identifier(s):
 OSTI ID: 1375051
Basso, Benjamin, and Dixon, Lance J. Gluing Ladder Feynman Diagrams into Fishnets. United States: N. p.,
Web. doi:10.1103/PhysRevLett.119.071601.
Basso, Benjamin, & Dixon, Lance J. Gluing Ladder Feynman Diagrams into Fishnets. United States. doi:10.1103/PhysRevLett.119.071601.
Basso, Benjamin, and Dixon, Lance J. 2017.
"Gluing Ladder Feynman Diagrams into Fishnets". United States.
doi:10.1103/PhysRevLett.119.071601. https://www.osti.gov/servlets/purl/1389318.
@article{osti_1389318,
title = {Gluing Ladder Feynman Diagrams into Fishnets},
author = {Basso, Benjamin and Dixon, Lance J.},
abstractNote = {We use integrability at weak coupling to compute fishnet diagrams for fourpoint correlation functions in planar Φ 4 theory. Our results are always multilinear combinations of ladder integrals, which are in turn built out of classical polylogarithms. The Steinmann relations provide a powerful constraint on such linear combinations, which leads to a natural conjecture for any fishnet diagram as the determinant of a matrix of ladder integrals.},
doi = {10.1103/PhysRevLett.119.071601},
journal = {Physical Review Letters},
number = 7,
volume = 119,
place = {United States},
year = {2017},
month = {8}
}