skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes

Abstract

This article reports on the detailed study of the three-gluon vertex in four-dimensional $SU(3)$ Yang-Mills theory employing lattice simulations with large physical volumes and high statistics. A meticulous scrutiny of the so-called symmetric and asymmetric kinematical configurations is performed and it is shown that the associated form-factor changes sign at a given range of momenta. Here, the lattice results are compared to the model independent predictions of Schwinger-Dyson equations and a very good agreement among the two is found.

Authors:
 [1];  [2];  [3];  [4]
  1. Univ. de Paris-Sud, Univ. Paris-Saclay, Orsay (France)
  2. Univ. Pablo de Olavide, Sevilla (Spain)
  3. Univ. of Huelva, Huelva (Spain); Univ. de Granada, Granada (Spain)
  4. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1401984
Alternate Identifier(s):
OSTI ID: 1372558
Report Number(s):
JLAB-THY-17-2572; DOE/OR/23177-4239; arXiv:1701.07390
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1703233
Grant/Contract Number:
FPA2014-53631-C2-2-P; PHY-1516509; AC05-06OR23177
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 95; Journal Issue: 11; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Boucaud, Ph., De Soto, F., Rodriguez-Quintero, J., and Zafeiropoulos, S.. Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.95.114503.
Boucaud, Ph., De Soto, F., Rodriguez-Quintero, J., & Zafeiropoulos, S.. Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes. United States. doi:10.1103/PhysRevD.95.114503.
Boucaud, Ph., De Soto, F., Rodriguez-Quintero, J., and Zafeiropoulos, S.. Wed . "Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes". United States. doi:10.1103/PhysRevD.95.114503.
@article{osti_1401984,
title = {Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes},
author = {Boucaud, Ph. and De Soto, F. and Rodriguez-Quintero, J. and Zafeiropoulos, S.},
abstractNote = {This article reports on the detailed study of the three-gluon vertex in four-dimensional $SU(3)$ Yang-Mills theory employing lattice simulations with large physical volumes and high statistics. A meticulous scrutiny of the so-called symmetric and asymmetric kinematical configurations is performed and it is shown that the associated form-factor changes sign at a given range of momenta. Here, the lattice results are compared to the model independent predictions of Schwinger-Dyson equations and a very good agreement among the two is found.},
doi = {10.1103/PhysRevD.95.114503},
journal = {Physical Review D},
number = 11,
volume = 95,
place = {United States},
year = {Wed Jun 14 00:00:00 EDT 2017},
month = {Wed Jun 14 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on June 14, 2018
Publisher's Version of Record

Citation Metrics:
Cited by: 3works
Citation information provided by
Web of Science

Save / Share:
  • Cited by 3
  • Light quark masses can be determined through lattice simulations in regularization invariant momentum-subtraction (RI/MOM) schemes. Subsequently, matching factors, computed in continuum perturbation theory, are used in order to convert these quark masses from a RI/MOM scheme to the MS scheme. We calculate the two-loop corrections in QCD to these matching factors as well as the three-loop mass anomalous dimensions for the RI/SMOM and RI/SMOM{sub {gamma}{sub {mu}} }schemes. These two schemes are characterized by a symmetric subtraction point. Providing the conversion factors in the two different schemes allows for a better understanding of the systematic uncertainties. The two-loop expansion coefficients ofmore » the matching factors for both schemes turn out to be small compared to the traditional RI/MOM schemes. For n{sub f}=3 quark flavors they are about 0.6%-0.7% and 2%, respectively, of the leading order result at scales of about 2 GeV. Therefore, they will allow for a significant reduction of the systematic uncertainty of light quark mass determinations obtained through this approach. The determination of these matching factors requires the computation of amputated Green's functions with the insertions of quark bilinear operators. As a by-product of our calculation we also provide the corresponding results for the tensor operator.« less
  • This article aims at advancing the recently introduced exponential method for renormalisation in perturbative quantum field theory. It is shown that this new procedure provides a meaningful recursive scheme in the context of the algebraic and group theoretical approach to renormalisation. In particular, we describe in detail a Hopf algebraic formulation of Bogoliubov's classical R-operation and counterterm recursion in the context of momentum subtraction schemes. This approach allows us to propose an algebraic classification of different subtraction schemes. Our results shed light on the peculiar algebraic role played by the degrees of Taylor jet expansions, especially the notion of minimalmore » subtraction and oversubtractions.« less
  • We develop a nonperturbative reduction scheme for the four-point vertex [ital T] of a generic field theory with interactions among bosons, fermions, and antifermions. We exhibit integral equations which express, in a manifestly crossing-symmetric way, the full vertex in terms of its two-particle irreducible part, together with the dressed three-point vertices and two-point propagators. This scheme generalizes the usual summation of ladder or bubble diagrams, thus providing for the consistent summation of a larger subset of all diagrams.