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:
-
- Univ. of Adelaide, SA (Australia). Special Research Centre for the Subatomic Structure of Matter (CSSM)
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- 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)
- 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}
}
Web of Science
Works referenced in this record:
The quark–gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
journal, January 2009
- Alkofer, Reinhard; Fischer, Christian S.; Llanes-Estrada, Felipe J.
- Annals of Physics, Vol. 324, Issue 1
New method for determining the quark-gluon vertex
journal, September 2014
- Aguilar, A. C.; Binosi, D.; Ibañez, D.
- Physical Review D, Vol. 90, Issue 6
Effects of divergent ghost loops on the Green’s functions of QCD
journal, April 2014
- Aguilar, A. C.; Binosi, D.; Ibañez, D.
- Physical Review D, Vol. 89, Issue 8
Gluonic three-point correlations in pure Landau gauge QCD
journal, March 2014
- Blum, Adrian Lorenz; Huber, Markus Q.; Mitter, Mario
- Physical Review D, Vol. 89, Issue 6
Three-gluon vertex in Landau gauge
journal, May 2014
- Eichmann, Gernot; Williams, Richard; Alkofer, Reinhard
- Physical Review D, Vol. 89, Issue 10
Infrared cutoff dependence of the critical flavor number in three-dimensional QED
journal, July 2003
- Gusynin, V. P.; Reenders, M.
- Physical Review D, Vol. 68, Issue 2
Finite-volume effects and dynamical chiral symmetry breaking in
journal, February 2009
- Goecke, Tobias; Fischer, Christian S.; Williams, Richard
- Physical Review B, Vol. 79, Issue 6
theory of pairing pseudogap in cuprates: From -wave superconductor to antiferromagnet via an algebraic Fermi liquid
journal, August 2002
- Franz, M.; Tešanović, Z.; Vafek, O.
- Physical Review B, Vol. 66, Issue 5
Chiral symmetry breaking and phase fluctuations: A theory of the pseudogap state in cuprate superconductors
journal, May 2002
- Tešanović, Z.; Vafek, O.; Franz, M.
- Physical Review B, Vol. 65, Issue 18
Effects of anisotropy in QED from Dyson-Schwinger equations in a box
journal, July 2011
- Bonnet, Jacqueline A.; Fischer, Christian S.; Williams, Richard
- Physical Review B, Vol. 84, Issue 2
On the dynamical vacuum rearrangement and the problem of fermion mass generation
journal, September 1976
- Fomin, P. I.; Miransky, V. A.
- Physics Letters B, Vol. 64, Issue 2
Dynamics of spontaneous chiral symmetry breaking and the continuum limit in quantum electrodynamics
journal, November 1985
- Miransky, V. A.
- Il Nuovo Cimento A, Vol. 90, Issue 2
On dynamical chiral symmetry breaking
journal, December 1985
- Miransky, V. A.
- Physics Letters B, Vol. 165, Issue 4-6
Dynamic mass generation and renormalizations in quantum field theories
journal, April 1980
- Miransky, V. A.
- Physics Letters B, Vol. 91, Issue 3-4
Schwinger-Dyson equation for massless vector theory and the absence of a fermion pole
journal, December 1976
- Fukuda, Reijiro; Kugo, Taichiro
- Nuclear Physics B, Vol. 117, Issue 1
Accuracy of meteo-oceanographic data from spar buoys
journal, January 1983
- Cavaleri, L.
- Il Nuovo Cimento C, Vol. 6, Issue 1
On strongly coupled quenched QED4, again: Chiral symmetry breaking, Goldstone mechanism and the nature of the continuum limit
journal, April 1995
- Lombardo, M-P; Kocić, A.; Kogut, J. B.
- Nuclear Physics B - Proceedings Supplements, Vol. 42, Issue 1-3
PHASE TRANSITIONS IN STRONG COUPLING QED 4 [N]
journal, December 1992
- Atkinson, D.; Groot, H. J. De; Johnson, P. W.
- International Journal of Modern Physics A, Vol. 07, Issue 30
Bifurcation of the quark self-energy: Infrared and ultraviolet cutoffs
journal, March 1987
- Atkinson, D.; Johnson, P. W.
- Physical Review D, Vol. 35, Issue 6
Critical coupling in strong QED with weak gauge dependence
journal, June 1994
- Atkinson, D.; Bloch, J. C. R.; Gusynin, V. P.
- Physics Letters B, Vol. 329, Issue 1
Nonperturbative study of the fermion propagator in quenched QED in covariant gauges using a renormalizable truncation of the Schwinger-Dyson equation
journal, November 1993
- Curtis, D. C.; Pennington, M. R.
- Physical Review D, Vol. 48, Issue 10
Generating fermion mass in four-dimensional quenched QED
journal, September 1992
- Curtis, D. C.; Pennington, M. R.
- Physical Review D, Vol. 46, Issue 6
Regularization-independent studies of nonperturbative field theory
journal, February 2001
- Kızılersü, Ayşe; Schreiber, Andreas W.; Williams, Anthony G.
- Physics Letters B, Vol. 499, Issue 3-4
Regularization-independent study of renormalized nonperturbative quenched QED
journal, April 2002
- Kızılersü, Ayşe; Sizer, Tom; Williams, Anthony G.
- Physical Review D, Vol. 65, Issue 8
Can the Photon Quadratic Divergence be Canceled Numerically?
journal, June 1995
- Bloch, J. C. R.; Pennington, M. R.
- Modern Physics Letters A, Vol. 10, Issue 17
Gauge-independent chiral symmetry breaking in quenched QED
journal, December 1994
- Bashir, A.; Pennington, M. R.
- Physical Review D, Vol. 50, Issue 12
Dynamical chiral symmetry breaking and the fermion–gauge-boson vertex
journal, April 2012
- Bashir, A.; Bermudez, R.; Chang, L.
- Physical Review C, Vol. 85, Issue 4
Chiral symmetry breaking in dimensionally regularized nonperturbative quenched QED
journal, August 1999
- Gusynin, V. P.; Schreiber, A. W.; Sizer, T.
- Physical Review D, Vol. 60, Issue 6
Proper vertex in studies of dynamical chiral symmetry breaking
journal, October 1991
- Hawes, F. T.; Williams, A. G.
- Physics Letters B, Vol. 268, Issue 2
Chiral symmetry breaking in quenched massive strong-coupling four-dimensional QED
journal, March 1995
- Hawes, Frederick T.; Williams, Anthony G.
- Physical Review D, Vol. 51, Issue 6
Renormalization and chiral symmetry breaking in quenched QED in arbitrary covariant gauges
journal, October 1996
- Hawes, Frederick T.; Williams, Anthony G.; Roberts, Craig D.
- Physical Review D, Vol. 54, Issue 8
Chiral symmetry breaking in strongly coupled quenched QED4 using the Dyson-Schwinger equation formalism
journal, March 1996
- Williams, A. G.; Hawes, F. T.
- Nuclear Physics B - Proceedings Supplements, Vol. 47, Issue 1-3
Dyson-Schwinger equations and their application to hadronic physics
journal, January 1994
- Roberts, Craig D.; Williams, Anthony G.
- Progress in Particle and Nuclear Physics, Vol. 33
Vacuum Polarization and Dynamical Chiral Symmetry Breaking in Quantum Electrodynamics
journal, January 1990
- Gusynin, V. P.
- Modern Physics Letters A, Vol. 05, Issue 02
Mixed fermion-photon condensate in strongly coupled quantum electrodynamics
journal, June 1990
- Gusynin, V. P.; Kushnir, V. A.
- Physics Letters B, Vol. 242, Issue 3-4
Strong coupling unquenched QED (I). Analytical study
journal, March 1991
- Kondo, Kei-Ichi; Nakatani, Hajime
- Nuclear Physics B, Vol. 351, Issue 1-2
Phase structure of unquenched QED with four-fermion interaction
journal, March 1991
- Kondo, Kei-Ichi
- Nuclear Physics B, Vol. 351, Issue 1-2
Critical Exponents, Scaling law, Universality and Renormalization Group flow in Strong Coupling qed
journal, December 1991
- Kondo, Kei-Ichi
- International Journal of Modern Physics A, Vol. 06, Issue 30
Strong Coupling Unquenched QED. II: Numerical Study
journal, October 1992
- Kondo, K. -i.; Nakatani, H.
- Progress of Theoretical Physics, Vol. 88, Issue 4
Possible second-order phase transition in strongly coupled unquenched planar four-dimensional QED
journal, July 1990
- Oliensis, John; Johnson, P. W.
- Physical Review D, Vol. 42, Issue 2
Gauge Invariant Study of the Strong Coupling Phase of Massless Quantum Electrodynamics
journal, May 1990
- Ukita, M.; Komachiya, M.; Fukuda, R.
- International Journal of Modern Physics A, Vol. 05, Issue 09
Self-Consistent Solution of the Simultaneous Schwinger-Dyson Equation in Strong Coupling qed
journal, June 1992
- Kondo, Kei-Ichi; Mino, Hidetoshi; Nakatani, Hajime
- Modern Physics Letters A, Vol. 07, Issue 17
Critical number of flavors in QED
journal, February 2011
- Bashir, A.; Calcaneo-Roldan, C.; Gutiérrez-Guerrero, L. X.
- Physical Review D, Vol. 83, Issue 3
Vacuum polarization and dynamical chiral symmetry breaking: Phase diagram of QED with four-fermion contact interaction
journal, January 2013
- Akram, F.; Bashir, A.; Gutiérrez-Guerrero, L. X.
- Physical Review D, Vol. 87, Issue 1
Strongly-coupled unquenched propagators using Schwinger-Dyson equations
journal, August 2013
- Kızılersü, Ayşe; Sizer, Tom; Williams, Anthony G.
- Physical Review D, Vol. 88, Issue 4
Quark-photon vertex and the pion charge radius
journal, March 2000
- Maris, Pieter; Tandy, Peter C.
- Physical Review C, Vol. 61, Issue 4
Running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory
journal, July 2008
- Kellermann, Christian; Fischer, Christian S.
- Physical Review D, Vol. 78, Issue 2
Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: continuum results
journal, November 2012
- Huber, Markus Q.; Maas, Axel; von Smekal, Lorenz
- Journal of High Energy Physics, Vol. 2012, Issue 11
On the quark-gluon vertex and quark-ghost kernel: combining lattice simulations with Dyson-Schwinger equations
journal, October 2013
- Rojas, E.; de Melo, J. P. B. C.; El-Bennich, B.
- Journal of High Energy Physics, Vol. 2013, Issue 10
Building the full fermion-photon vertex of QED by imposing multiplicative renormalizability of the Schwinger-Dyson equations for the fermion and photon propagators
journal, June 2009
- Kızılersü, Ayşe; Pennington, Michael R.
- Physical Review D, Vol. 79, Issue 12
Truncating the Schwinger-Dyson equations: How multiplicative renormalizability and the Ward identity restrict the three-point vertex in QED
journal, December 1990
- Curtis, D. C.; Pennington, M. R.
- Physical Review D, Vol. 42, Issue 12
An Identity in Quantum Electrodynamics
journal, April 1950
- Ward, J. C.
- Physical Review, Vol. 78, Issue 2
A Pre-Renormalized Quantum Electrodynamics
journal, October 1953
- Green, H. S.
- Proceedings of the Physical Society. Section A, Vol. 66, Issue 10
On the generalized ward identity
journal, August 1957
- Takahashi, Y.
- Il Nuovo Cimento, Vol. 6, Issue 2
Analytic properties of the vertex function in gauge theories. I
journal, November 1980
- Ball, James S.; Chiu, Ting-Wai
- Physical Review D, Vol. 22, Issue 10
One-loop QED vertex in any covariant gauge: Its complete analytic form
journal, July 1995
- Kizilersü, A.; Reenders, M.; Pennington, M. R.
- Physical Review D, Vol. 52, Issue 2
Quantum Field Theory
journal, September 1984
- Itzykson, C.; Zuber, J. ‐B.; Higgs, Peter
- Physics Today, Vol. 37, Issue 9
Gauge covariance and the fermion-photon vertex in three- and four-dimensional, massless quantum electrodynamics
journal, June 1993
- Burden, Conrad J.; Roberts, Craig D.
- Physical Review D, Vol. 47, Issue 12
Dynamical chiral symmetry breaking in unquenched
journal, October 2004
- Fischer, C. S.; Alkofer, R.; Dahm, T.
- Physical Review D, Vol. 70, Issue 7
Nonperturbative propagators, running coupling, and the dynamical quark mass of Landau gauge QCD
journal, May 2003
- Fischer, C. S.; Alkofer, R.
- Physical Review D, Vol. 67, Issue 9
Analytic properties of the Landau gauge gluon and quark propagators
journal, July 2004
- Alkofer, R.; Detmold, W.; Fischer, C. S.
- Physical Review D, Vol. 70, Issue 1
Dimensionally regularized study of nonperturbative quenched QED
journal, November 1998
- Schreiber, Andreas W.; Sizer, Tom; Williams, Anthony G.
- Physical Review D, Vol. 58, Issue 12
On the gauge dependence of dynamical fermion masses
journal, October 1990
- Curtis, D. C.; Pennington, M. R.; Walsh, D. A.
- Physics Letters B, Vol. 249, Issue 3-4
Constraint on the QED vertex from the mass anomalous dimension =1
journal, April 1996
- Bashir, A.; Pennington, M. R.
- Physical Review D, Vol. 53, Issue 8
Aspects of dynamical symmetry breaking in gauge field theories
journal, September 1989
- Bardeen, William A.; Leung, C. N.; Love, S. T.
- Nuclear Physics B, Vol. 323, Issue 3
On the Phase Diagram of Asymptotically free Gauge Theories with Additional Four-Fermion Interaction
journal, August 1989
- Miransky, V. A.; Nonoyama, Tatsuhiko; Yamawaki, Koichi
- Modern Physics Letters A, Vol. 04, Issue 15
Analytic structure of scalar composites in the symmetric phase of the gauged Nambu–Jona-Lasinio model
journal, May 1998
- Gusynin, V. P.; Reenders, M.
- Physical Review D, Vol. 57, Issue 10
Dimensional Dependence of Chiral-Symmetry- Breaking Phase Transition in Quenched Planar qed
journal, October 1989
- Kondo, Kei-Ichi; Nakatani, Hajime
- Modern Physics Letters A, Vol. 04, Issue 22
Critical line and dilaton in scale-invariant QED
journal, April 1989
- Kondo, Kei-ichi; Mino, Hidetoshi; Yamawaki, Koichi
- Physical Review D, Vol. 39, Issue 8
QED on a momentum lattice
journal, April 1994
- Kogut, J. B.; Lagaë, J. -F.
- Nuclear Physics B - Proceedings Supplements, Vol. 34
Quenched QED on a momentum space lattice
journal, April 1995
- Kogut, J. B.; Lagaë, J. -F.
- Nuclear Physics B - Proceedings Supplements, Vol. 42, Issue 1-3
Strongly coupled quenched QED
journal, May 1989
- Kogut, John B.; Dagotto, E.; Kocić, Alexander
- Nuclear Physics B, Vol. 317, Issue 2
The equation of state and critical exponents in quenched strongly coupled QED
journal, December 1990
- Kocić, Aleksandar; Hands, Simon; Kogut, John B.
- Nuclear Physics B, Vol. 347, Issue 1-2
Spectroscopy, scaling and critical indices in strongly coupled quenched QED
journal, May 1993
- Kocić, Aleksandar; Kogut, John B.; Lombardo, Maria-Paola
- Nuclear Physics B, Vol. 397, Issue 1-2
Landau Gauge Peculiarity in QED Schwinger-Dyson Equation
journal, April 1989
- Aoki, K. -I.; Bando, M.; Kugo, T.
- Progress of Theoretical Physics, Vol. 81, Issue 4
Non-mean-field exponents in strongly coupled quenched QED
journal, March 1991
- Dagotto, Elbio; Kogut, John B.; Kocić, Aleksandar
- Physical Review D, Vol. 43, Issue 6
The present status of non-compact lattice QED
journal, April 1994
- Göckeler, M.; Horsley, R.; Rakow, P. E. L.
- Nuclear Physics B - Proceedings Supplements, Vol. 34
Three-point functions in noncompact lattice QED
journal, April 1994
- Göckeler, M.; Horsley, R.; Rakow, P. E. L.
- Nuclear Physics B - Proceedings Supplements, Vol. 34
Is There a Landau Pole Problem in QED?
journal, May 1998
- Göckeler, M.; Horsley, R.; Linke, V.
- Physical Review Letters, Vol. 80, Issue 19
The continuum limit of QED. Renormalization group analysis and the question of triviality
journal, November 1990
- Göckeler, M.; Horsley, R.; Laermann, E.
- Physics Letters B, Vol. 251, Issue 4
QED — A lattice investigation of the chiral phase transition and the nature of the continuum limit
journal, April 1990
- Göckeler, M.; Horsley, R.; Laermann, E.
- Nuclear Physics B, Vol. 334, Issue 2
New phase of quantum electrodynamics: A nonperturbative fixed point in four dimensions
journal, February 1988
- Kogut, J. B.; Dagotto, Elbio; Kocic, A.
- Physical Review Letters, Vol. 60, Issue 9
Renormalisation group flow in QED - An investigation of the Schwinger-Dyson equations
journal, June 1991
- Rakow, P. E. L.
- Nuclear Physics B, Vol. 356, Issue 1
Flavor-dependence and higher orders of gauge-independent solutions in strong coupling gauge theory
journal, April 1994
- Kondo, Kei-Ichi; Iizuka, Takuya; Tanaka, Eiji
- Physics Letters B, Vol. 325, Issue 3-4
Renormalized strong-coupling quenched QED in four dimensions
journal, March 1997
- Hawes, Frederick T.; Sizer, Tom; Williams, Anthony G.
- Physical Review D, Vol. 55, Issue 6
Works referencing / citing this record:
Natural constraints on the gluon-quark vertex
text, January 2016
- Binosi, Daniele; Chang, Lei; Papavassiliou, Joannis
- arXiv