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Title: Higher melonic theories

Abstract

We classify a large set of melonic theories with arbitrary q-fold interactions, demonstrating that the interaction vertices exhibit a range of symmetries, always of the form Z 2 n for some n, which may be 0. The number of different theories proliferates quickly as q increases above 8 and is related to the problem of counting one-factorizations of complete graphs. The symmetries of the interaction vertex lead to an effective interaction strength that enters into the Schwinger-Dyson equation for the two-point function as well as the kernel used for constructing higher-point functions.

Authors:
 [1];  [1]; ORCiD logo [1];  [1]
  1. Princeton Univ., Princeton, NJ (United States). Joseph Henry Lab. of Physics
Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1507577
Grant/Contract Number:  
[FG02-91ER40671; 51116; PHY-1620059]
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
[Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 9]; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N Expansion; Conformal Field Theory; Nonperturbative Effects

Citation Formats

Gubser, Steven S., Jepsen, Christian, Ji, Ziming, and Trundy, Brian. Higher melonic theories. United States: N. p., 2018. Web. doi:10.1007/jhep09(2018)049.
Gubser, Steven S., Jepsen, Christian, Ji, Ziming, & Trundy, Brian. Higher melonic theories. United States. doi:10.1007/jhep09(2018)049.
Gubser, Steven S., Jepsen, Christian, Ji, Ziming, and Trundy, Brian. Mon . "Higher melonic theories". United States. doi:10.1007/jhep09(2018)049. https://www.osti.gov/servlets/purl/1507577.
@article{osti_1507577,
title = {Higher melonic theories},
author = {Gubser, Steven S. and Jepsen, Christian and Ji, Ziming and Trundy, Brian},
abstractNote = {We classify a large set of melonic theories with arbitrary q-fold interactions, demonstrating that the interaction vertices exhibit a range of symmetries, always of the form Z2n for some n, which may be 0. The number of different theories proliferates quickly as q increases above 8 and is related to the problem of counting one-factorizations of complete graphs. The symmetries of the interaction vertex lead to an effective interaction strength that enters into the Schwinger-Dyson equation for the two-point function as well as the kernel used for constructing higher-point functions.},
doi = {10.1007/jhep09(2018)049},
journal = {Journal of High Energy Physics (Online)},
number = [9],
volume = [2018],
place = {United States},
year = {2018},
month = {9}
}

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Cited by: 7 works
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Works referenced in this record:

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