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Title: Gluing Ladder Feynman Diagrams into Fishnets

Abstract

We use integrability at weak coupling to compute fishnet diagrams for four-point 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]
  1. PSL Research Univ., Paris (France)
  2. 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:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE; National Science Foundation (NSF)
OSTI Identifier:
1389318
Report Number(s):
SLAC-PUB-16967
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US1702819
Grant/Contract Number:
AC02–76SF00515; NSF PHY-1125915
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 119; Journal Issue: 7; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Basso, Benjamin, and Dixon, Lance J. Gluing Ladder Feynman Diagrams into Fishnets. United States: N. p., 2017. 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.
@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 four-point 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
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on August 14, 2018
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