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Title: Dynamical mass generation in unquenched QED using the Dyson-Schwinger equations

Abstract

We present a comprehensive numerical study of dynamical mass generation for unquenched QED in four dimensions, in the absence of four-fermion interactions, using the Dyson-Schwinger approach. We begin with an overview of previous investigations of criticality in the quenched approximation. To this we add an analysis using a new fermion-antifermion-boson interaction ansatz, the Kizilersu-Pennington (KP) vertex, developed for an unquenched treatment. After surveying criticality in previous unquenched studies, we investigate the performance of the KP vertex in dynamical mass generation using a renormalized fully unquenched system of equations. This we compare with the results for two hybrid vertices incorporating the Curtis-Pennington vertex in the fermion equation. We conclude that the KP vertex is as yet incomplete, and its relative gauge-variance is due to its lack of massive transverse components in its design.

Authors:
 [1];  [1];  [2];  [3];  [4]
  1. Univ. of Adelaide, SA (Australia). Special Research Centre for the Subatomic Structure of Matter (CSSM)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  3. Univ. of Adelaide, SA (Australia). School of Chemistry and Physics, Centre of Excellence in Particle Physics at the Tera-scale (CoEPP) and Special Research Centre for the Subatomic Structure of Matter (CSSM)
  4. Univ. of Giessen (Germany). Inst. for Theoretical Physics
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
Contributing Org.:
Australian Research Council (Australia); Austrian Science Fund (FWF)
OSTI Identifier:
1177478
Alternate Identifier(s):
OSTI ID: 1181620
Report Number(s):
JLAB/THY-14-1935; DOE/OR-23177-3193
Journal ID: ISSN 1550-7998; PRVDAQ; ArticleNumber: 065015
Grant/Contract Number:  
LX 0776452; DP0558878; M1333-N16; AC05-06OR23177
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 91; Journal Issue: 6; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; quark-gluon; QCD; QED; Quantum electrodynamics; Dyson-Schwinger equations (DSE); fermion; Quantum Chromodynamics

Citation Formats

Kızılersü, Ayse, Sizer, Tom, Pennington, Michael R., Williams, Anthony G., and Williams, Richard. Dynamical mass generation in unquenched QED using the Dyson-Schwinger equations. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.91.065015.
Kızılersü, Ayse, Sizer, Tom, Pennington, Michael R., Williams, Anthony G., & Williams, Richard. Dynamical mass generation in unquenched QED using the Dyson-Schwinger equations. United States. https://doi.org/10.1103/PhysRevD.91.065015
Kızılersü, Ayse, Sizer, Tom, Pennington, Michael R., Williams, Anthony G., and Williams, Richard. Fri . "Dynamical mass generation in unquenched QED using the Dyson-Schwinger equations". United States. https://doi.org/10.1103/PhysRevD.91.065015. https://www.osti.gov/servlets/purl/1177478.
@article{osti_1177478,
title = {Dynamical mass generation in unquenched QED using the Dyson-Schwinger equations},
author = {Kızılersü, Ayse and Sizer, Tom and Pennington, Michael R. and Williams, Anthony G. and Williams, Richard},
abstractNote = {We present a comprehensive numerical study of dynamical mass generation for unquenched QED in four dimensions, in the absence of four-fermion interactions, using the Dyson-Schwinger approach. We begin with an overview of previous investigations of criticality in the quenched approximation. To this we add an analysis using a new fermion-antifermion-boson interaction ansatz, the Kizilersu-Pennington (KP) vertex, developed for an unquenched treatment. After surveying criticality in previous unquenched studies, we investigate the performance of the KP vertex in dynamical mass generation using a renormalized fully unquenched system of equations. This we compare with the results for two hybrid vertices incorporating the Curtis-Pennington vertex in the fermion equation. We conclude that the KP vertex is as yet incomplete, and its relative gauge-variance is due to its lack of massive transverse components in its design.},
doi = {10.1103/PhysRevD.91.065015},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 6,
volume = 91,
place = {United States},
year = {Fri Mar 13 00:00:00 EDT 2015},
month = {Fri Mar 13 00:00:00 EDT 2015}
}

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