Quark Mass Functions and Pion Structure in the Covariant Spectator Theory

Biernat, Elmar P.; Gross, Franz; Pena, Teresa; Stadler, Alfred; Leitao, Sofia

doi:10.1007/s00601-018-1401-z

Title: Quark Mass Functions and Pion Structure in the Covariant Spectator Theory

Abstract

The Covariant Spectator Theory is applied to the description of quarks and the pion. The dressed quark mass function is calculated dynamically in Minkowski space and used in the calculation of the pion electromagnetic form factor. The effects of the mass function on the pion form factor and the different quark-pole contributions to the triangle diagram then are analyzed.

Authors:

^[1];

^[2]; Pena, Teresa ^[1]; Stadler, Alfred ^[3]; Leitao, Sofia ^[1]

Inst. of Superior Tecnico (IST), Lisbon (Portugal). Centre for Theoretical and Particle Physics (CFTP)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)
Inst. of Superior Tecnico (IST), Lisbon (Portugal). Centre for Theoretical and Particle Physics (CFTP); Univ. of Evora (Portugal). Dept. of Physics

Publication Date:: Thu May 24 00:00:00 EDT 2018

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); Foundation for Science and Technology FCT; European Commission (EC)

OSTI Identifier:: 1440906

Report Number(s):: JLAB-THY-18-2649; DOE/OR/23177-4356' arXiv:1802.00266; CFTP-18-002
Journal ID: ISSN 0177-7963; PII: 1401; TRN: US1900836

Grant/Contract Number:: AC05-06OR23177; UID/FIS/00777/2013; CERN/FP/123580/2011; SFRH/BPD/100578/2014; SFRH/BD/92637/2013; 283286

Resource Type:: Accepted Manuscript

Journal Name:: Few-Body Systems

Additional Journal Information:: Journal Volume: 59; Journal Issue: 5; Journal ID: ISSN 0177-7963

Publisher:: Springer

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; quark mass function; pion form factor

Citation Formats


                    Biernat, Elmar P., Gross, Franz, Pena, Teresa, Stadler, Alfred, and Leitao, Sofia. Quark Mass Functions and Pion Structure in the Covariant Spectator Theory.  United States: N. p., 2018. 
Web.  doi:10.1007/s00601-018-1401-z.

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                    Biernat, Elmar P., Gross, Franz, Pena, Teresa, Stadler, Alfred, & Leitao, Sofia. Quark Mass Functions and Pion Structure in the Covariant Spectator Theory.  United States.  https://doi.org/10.1007/s00601-018-1401-z

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                    Biernat, Elmar P., Gross, Franz, Pena, Teresa, Stadler, Alfred, and Leitao, Sofia. Thu .  
"Quark Mass Functions and Pion Structure in the Covariant Spectator Theory".  United States.  https://doi.org/10.1007/s00601-018-1401-z.  https://www.osti.gov/servlets/purl/1440906.

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@article{osti_1440906,

  title        = {Quark Mass Functions and Pion Structure in the Covariant Spectator Theory},

  author       = {Biernat, Elmar P. and Gross, Franz and Pena, Teresa and Stadler, Alfred and Leitao, Sofia},

  abstractNote = {The Covariant Spectator Theory is applied to the description of quarks and the pion. The dressed quark mass function is calculated dynamically in Minkowski space and used in the calculation of the pion electromagnetic form factor. The effects of the mass function on the pion form factor and the different quark-pole contributions to the triangle diagram then are analyzed.},

  doi          = {10.1007/s00601-018-1401-z},

  journal      = {Few-Body Systems},

  number       = 5,

  volume       = 59,

  place        = {United States},

  year         = {Thu May 24 00:00:00 EDT 2018},

  month        = {Thu May 24 00:00:00 EDT 2018}

}

Copy to clipboard

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https://doi.org/10.1007/s00601-018-1401-z

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Works referenced in this record:

Dyson–Schwinger Equations: A Tool for Hadron Physics
journal, June 2003

Maris, Pieter; Roberts, Craig D.
International Journal of Modern Physics E, Vol. 12, Issue 03
DOI: 10.1142/S0218301303001326

π, K , ρ, φ as qq¯ bound states of the Salpeter equation in a ${}^{3}$ $P_{0}$ condensed vacuum
journal, September 1990

Bicudo, Pedro J. de A.; Ribeiro, José E. F. T.
Physical Review D, Vol. 42, Issue 5
DOI: 10.1103/PhysRevD.42.1625

Covariant, chirally symmetric, confining model of mesons
journal, April 1991

Gross, Franz; Milana, Joseph
Physical Review D, Vol. 43, Issue 7
DOI: 10.1103/PhysRevD.43.2401

Coupled-channel scattering on a torus
journal, July 2013

Guo, Peng; Dudek, Jozef J.; Edwards, Robert G.
Physical Review D, Vol. 88, Issue 1
DOI: 10.1103/PhysRevD.88.014501

Quantum chromodynamics and other field theories on the light cone
journal, August 1998

Brodsky, S.
Physics Reports, Vol. 301, Issue 4-6
DOI: 10.1016/S0370-1573(97)00089-6

Charge-conjugation symmetric complete impulse approximation for the pion electromagnetic form factor in the covariant spectator theory
journal, October 2015

Biernat, Elmar P.; Gross, Franz; Peña, M. T.
Physical Review D, Vol. 92, Issue 7
DOI: 10.1103/PhysRevD.92.076011

Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
journal, February 2015

Hilger, T.; Popovici, C.; Gómez-Rocha, M.
Physical Review D, Vol. 91, Issue 3
DOI: 10.1103/PhysRevD.91.034013

Unitary, relativistic resonance model for π N scattering
journal, February 1993

Gross, Franz; Surya, Yohanes
Physical Review C, Vol. 47, Issue 2
DOI: 10.1103/PhysRevC.47.703

Unified description of light- and strange-baryon spectra
journal, October 1998

Glozman, L. Ya.; Plessas, W.; Varga, K.
Physical Review D, Vol. 58, Issue 9
DOI: 10.1103/PhysRevD.58.094030

Hamiltonian light-front field theory in a basis function approach
journal, March 2010

Vary, J. P.; Honkanen, H.; Li, Jun
Physical Review C, Vol. 81, Issue 3
DOI: 10.1103/PhysRevC.81.035205

Transition from a relativistic constituent-quark model to the quantum-chromodynamical asymptotics: A quantitative description of the pion electromagnetic form factor at intermediate values of the momentum transfer
journal, November 2013

Troitsky, S. V.; Troitsky, V. E.
Physical Review D, Vol. 88, Issue 9
DOI: 10.1103/PhysRevD.88.093005

Pion electromagnetic form factor in the covariant spectator theory
journal, January 2014

Biernat, Elmar P.; Gross, Franz; Peña, M. T.
Physical Review D, Vol. 89, Issue 1
DOI: 10.1103/PhysRevD.89.016006

Confinement, quark mass functions, and spontaneous chiral symmetry breaking in Minkowski space
journal, January 2014

Biernat, Elmar P.; Gross, Franz; Peña, M. T.
Physical Review D, Vol. 89, Issue 1
DOI: 10.1103/PhysRevD.89.016005

Quantum Chromodynamics on the Lattice
book, January 2010

Gattringer, Christof; Lang, Christian B.
Lecture Notes in Physics
DOI: 10.1007/978-3-642-01850-3

Quark-antiquark bound states in the relativistic spectator formalism
journal, February 2001

Şavklı, Çetin; Gross, Franz
Physical Review C, Vol. 63, Issue 3
DOI: 10.1103/PhysRevC.63.035208

Flavor structure of the excited baryon spectra from lattice QCD
journal, March 2013

Edwards, Robert G.; Mathur, Nilmani; Richards, David G.
Physical Review D, Vol. 87, Issue 5
DOI: 10.1103/PhysRevD.87.054506

Infrared properties of QCD from Dyson–Schwinger equations
journal, June 2006

Fischer, Christian S.
Journal of Physics G: Nuclear and Particle Physics, Vol. 32, Issue 8
DOI: 10.1088/0954-3899/32/8/R02

Unitary, gauge invariant, relativistic resonance model for pion photoproduction
journal, May 1996

Surya, Yohanes; Gross, Franz
Physical Review C, Vol. 53, Issue 5
DOI: 10.1103/PhysRevC.53.2422

Generalized resonating-group-method equations in a ${}^{3}P_{0}$ $q \bar{q}$ condensed vacuum. The $φ$ and $ρ$ resonances
journal, September 1990

de A. Bicudo, Pedro J.; Ribeiro, José E. F. T.
Physical Review D, Vol. 42, Issue 5
DOI: 10.1103/PhysRevD.42.1635

Lattice Methods for Quantum Chromodynamics
book, September 2006

DeGrand, Thomas; DeTar, Carleton
DOI: 10.1142/6065

Current-quark model in a ${}^{3}P_{0}$ condensed vacuum
journal, September 1990

de A. Bicudo, Pedro J.; Ribeiro, José E. F. T.
Physical Review D, Vol. 42, Issue 5
DOI: 10.1103/PhysRevD.42.1611

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
DOI: 10.1007/JHEP10(2013)193

Covariant Spectator Theory of heavy–light and heavy mesons and the predictive power of covariant interaction kernels
journal, January 2017

Leitão, Sofia; Stadler, Alfred; Peña, M. T.
Physics Letters B, Vol. 764
DOI: 10.1016/j.physletb.2016.11.013

The infrared behaviour of QCD Green's functions Confinement, dynamical symmetry breaking, and hadrons as relativistic bound states
journal, November 2001

Alkofer, R.
Physics Reports, Vol. 353, Issue 5-6
DOI: 10.1016/S0370-1573(01)00010-2

Masses of $J^{P C} = 1^{- +}$ exotic quarkonia in a Bethe-Salpeter-equation approach
journal, June 2015

Hilger, T.; Gómez-Rocha, M.; Krassnigg, A.
Physical Review D, Vol. 91, Issue 11
DOI: 10.1103/PhysRevD.91.114004

Goldstone pion and other mesons using a scalar confining interaction
journal, September 1994

Gross, Franz; Milana, Joseph
Physical Review D, Vol. 50, Issue 5
DOI: 10.1103/PhysRevD.50.3332

Chiral symmetry and $π$ - $π$ scattering in the covariant spectator theory
journal, November 2014

Biernat, Elmar P.; Peña, M. T.; Ribeiro, J. E.
Physical Review D, Vol. 90, Issue 9
DOI: 10.1103/PhysRevD.90.096008

Unquenched quark propagator in Landau gauge
journal, March 2005

Bowman, Patrick O.; Heller, Urs M.; Leinweber, Derek B.
Physical Review D, Vol. 71, Issue 5
DOI: 10.1103/PhysRevD.71.054507

Three-Dimensional Covariant Integral Equations for Low-Energy Systems
journal, October 1969

Gross, Franz
Physical Review, Vol. 186, Issue 5
DOI: 10.1103/PhysRev.186.1448

Decoupling confinement and chiral-symmetry breaking: An explicit model
journal, February 1992

Gross, Franz; Milana, Joseph
Physical Review D, Vol. 45, Issue 3
DOI: 10.1103/PhysRevD.45.969

Pion Electromagnetic Form Factor at Spacelike Momenta
journal, October 2013

Chang, L.; Cloët, I. C.; Roberts, C. D.
Physical Review Letters, Vol. 111, Issue 14
DOI: 10.1103/PhysRevLett.111.141802

Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons
journal, October 2017

Leitão, Sofia; Stadler, Alfred; Peña, M. T.
Physical Review D, Vol. 96, Issue 7
DOI: 10.1103/PhysRevD.96.074007

Baryons as relativistic three-quark bound states
journal, November 2016

Eichmann, Gernot; Sanchis-Alepuz, Hèlios; Williams, Richard
Progress in Particle and Nuclear Physics, Vol. 91
DOI: 10.1016/j.ppnp.2016.07.001

Current conservation and interaction currents in relativistic meson theories
journal, November 1987

Gross, Franz; Riska, D. O.
Physical Review C, Vol. 36, Issue 5
DOI: 10.1103/PhysRevC.36.1928

Explicitly covariant light-front dynamics and relativistic few-body systems
journal, July 1998

Carbonell, J.; Desplanques, B.; Karmanov, V. A.
Physics Reports, Vol. 300, Issue 5-6
DOI: 10.1016/S0370-1573(97)00090-2

Minkowski space pion model inspired by lattice QCD running quark mass
journal, March 2017

Mello, Clayton S.; de Melo, J. P. B. C.; Frederico, T.
Physics Letters B, Vol. 766
DOI: 10.1016/j.physletb.2016.12.058

Point-Form Hamiltonian Dynamics and Applications
journal, September 2010

Biernat, E. P.; Klink, W. H.; Schweiger, W.
Few-Body Systems, Vol. 49, Issue 1-4
DOI: 10.1007/s00601-010-0102-z

Mesonic states and vacuum replicas in potential quark models for QCD
journal, November 2004

Nefediev, A. V.; Ribeiro, J. E. F. T.
Physical Review D, Vol. 70, Issue 9
DOI: 10.1103/PhysRevD.70.094020

Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
text, January 2014

Hilger, Thomas; Popovici, Carina; Gomez-Rocha, Maria
arXiv
DOI: 10.48550/arxiv.1409.3205

Charge-conjugation symmetric complete impulse approximation for the pion electromagnetic form factor in the Covariant Spectator Theory
text, January 2015

Biernat, Elmar P.; Gross, Franz; Peña, M. T.
arXiv
DOI: 10.48550/arxiv.1508.07809

Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons
text, January 2017

Leitão, Sofia; Stadler, Alfred; Peña, M. T.
arXiv
DOI: 10.48550/arxiv.1707.09303

The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
text, January 2000

Alkofer, Reinhard; von Smekal, Lorenz
arXiv
DOI: 10.48550/arxiv.hep-ph/0007355

Unified description of light- and strange-baryon spectra
text, January 1997

Glozman, L. Ya.; Plessas, W.; Varga, K.
arXiv
DOI: 10.48550/arxiv.hep-ph/9706507

Quark-Antiquark Bound States in the Relativistic Spectator Formalism
text, January 1999

Savkli, Cetin; Gross, Franz
arXiv
DOI: 10.48550/arxiv.hep-ph/9911319

Explicitly Covariant Light-Front Dynamics and Relativistic Few-Body Systems
text, January 1998

Carbonell, J.; Desplanques, B.; Karmanov, V. A.
arXiv
DOI: 10.48550/arxiv.nucl-th/9804029

Works referencing / citing this record:

Quark Propagator in Minkowski Space
journal, June 2019

Solis, E. L.; Costa, C. S. R.; Luiz, V. V.
Few-Body Systems, Vol. 60, Issue 3
DOI: 10.1007/s00601-019-1517-9

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Title: Quark Mass Functions and Pion Structure in the Covariant Spectator Theory

Abstract

Citation Formats

Dyson–Schwinger Equations: A Tool for Hadron Physics journal, June 2003

π, K , ρ, φ as qq¯ bound states of the Salpeter equation in a 3 P 0 condensed vacuum journal, September 1990

Covariant, chirally symmetric, confining model of mesons journal, April 1991

Coupled-channel scattering on a torus journal, July 2013

Quantum chromodynamics and other field theories on the light cone journal, August 1998

Charge-conjugation symmetric complete impulse approximation for the pion electromagnetic form factor in the covariant spectator theory journal, October 2015

Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach journal, February 2015

Unitary, relativistic resonance model for π N scattering journal, February 1993

Unified description of light- and strange-baryon spectra journal, October 1998

Hamiltonian light-front field theory in a basis function approach journal, March 2010

Transition from a relativistic constituent-quark model to the quantum-chromodynamical asymptotics: A quantitative description of the pion electromagnetic form factor at intermediate values of the momentum transfer journal, November 2013

Pion electromagnetic form factor in the covariant spectator theory journal, January 2014

Confinement, quark mass functions, and spontaneous chiral symmetry breaking in Minkowski space journal, January 2014

Quantum Chromodynamics on the Lattice book, January 2010

Quark-antiquark bound states in the relativistic spectator formalism journal, February 2001

Flavor structure of the excited baryon spectra from lattice QCD journal, March 2013

Infrared properties of QCD from Dyson–Schwinger equations journal, June 2006

Unitary, gauge invariant, relativistic resonance model for pion photoproduction journal, May 1996

Generalized resonating-group-method equations in a P 0 3 q q ¯ condensed vacuum. The φ and ρ resonances journal, September 1990

Lattice Methods for Quantum Chromodynamics book, September 2006

Current-quark model in a P 0 3 condensed vacuum journal, September 1990

On the quark-gluon vertex and quark-ghost kernel: combining lattice simulations with Dyson-Schwinger equations journal, October 2013

Covariant Spectator Theory of heavy–light and heavy mesons and the predictive power of covariant interaction kernels journal, January 2017

The infrared behaviour of QCD Green's functions Confinement, dynamical symmetry breaking, and hadrons as relativistic bound states journal, November 2001

Masses of J P C = 1 − + exotic quarkonia in a Bethe-Salpeter-equation approach journal, June 2015

Goldstone pion and other mesons using a scalar confining interaction journal, September 1994

Chiral symmetry and π - π scattering in the covariant spectator theory journal, November 2014

Unquenched quark propagator in Landau gauge journal, March 2005

Three-Dimensional Covariant Integral Equations for Low-Energy Systems journal, October 1969

Decoupling confinement and chiral-symmetry breaking: An explicit model journal, February 1992

Pion Electromagnetic Form Factor at Spacelike Momenta journal, October 2013

Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons journal, October 2017

Baryons as relativistic three-quark bound states journal, November 2016

Current conservation and interaction currents in relativistic meson theories journal, November 1987

Explicitly covariant light-front dynamics and relativistic few-body systems journal, July 1998

Minkowski space pion model inspired by lattice QCD running quark mass journal, March 2017

Point-Form Hamiltonian Dynamics and Applications journal, September 2010

Mesonic states and vacuum replicas in potential quark models for QCD journal, November 2004

Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach text, January 2014

Charge-conjugation symmetric complete impulse approximation for the pion electromagnetic form factor in the Covariant Spectator Theory text, January 2015

Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons text, January 2017

The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States text, January 2000

Unified description of light- and strange-baryon spectra text, January 1997

Quark-Antiquark Bound States in the Relativistic Spectator Formalism text, January 1999

Explicitly Covariant Light-Front Dynamics and Relativistic Few-Body Systems text, January 1998

Quark Propagator in Minkowski Space journal, June 2019

Dyson–Schwinger Equations: A Tool for Hadron Physics
journal, June 2003

π, K , ρ, φ as qq¯ bound states of the Salpeter equation in a ${}^{3}$ $P_{0}$ condensed vacuum
journal, September 1990

Covariant, chirally symmetric, confining model of mesons
journal, April 1991

Coupled-channel scattering on a torus
journal, July 2013

Quantum chromodynamics and other field theories on the light cone
journal, August 1998

Charge-conjugation symmetric complete impulse approximation for the pion electromagnetic form factor in the covariant spectator theory
journal, October 2015

Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
journal, February 2015

Unitary, relativistic resonance model for π N scattering
journal, February 1993

Unified description of light- and strange-baryon spectra
journal, October 1998

Hamiltonian light-front field theory in a basis function approach
journal, March 2010

Transition from a relativistic constituent-quark model to the quantum-chromodynamical asymptotics: A quantitative description of the pion electromagnetic form factor at intermediate values of the momentum transfer
journal, November 2013

Pion electromagnetic form factor in the covariant spectator theory
journal, January 2014

Confinement, quark mass functions, and spontaneous chiral symmetry breaking in Minkowski space
journal, January 2014

Quantum Chromodynamics on the Lattice
book, January 2010

Quark-antiquark bound states in the relativistic spectator formalism
journal, February 2001

Flavor structure of the excited baryon spectra from lattice QCD
journal, March 2013

Infrared properties of QCD from Dyson–Schwinger equations
journal, June 2006

Unitary, gauge invariant, relativistic resonance model for pion photoproduction
journal, May 1996

Generalized resonating-group-method equations in a ${}^{3}P_{0}$ $q \bar{q}$ condensed vacuum. The $φ$ and $ρ$ resonances
journal, September 1990

Lattice Methods for Quantum Chromodynamics
book, September 2006

Current-quark model in a ${}^{3}P_{0}$ condensed vacuum
journal, September 1990

On the quark-gluon vertex and quark-ghost kernel: combining lattice simulations with Dyson-Schwinger equations
journal, October 2013

Covariant Spectator Theory of heavy–light and heavy mesons and the predictive power of covariant interaction kernels
journal, January 2017

The infrared behaviour of QCD Green's functions Confinement, dynamical symmetry breaking, and hadrons as relativistic bound states
journal, November 2001

Masses of $J^{P C} = 1^{- +}$ exotic quarkonia in a Bethe-Salpeter-equation approach
journal, June 2015

Goldstone pion and other mesons using a scalar confining interaction
journal, September 1994

Chiral symmetry and $π$ - $π$ scattering in the covariant spectator theory
journal, November 2014

Unquenched quark propagator in Landau gauge
journal, March 2005

Three-Dimensional Covariant Integral Equations for Low-Energy Systems
journal, October 1969

Decoupling confinement and chiral-symmetry breaking: An explicit model
journal, February 1992

Pion Electromagnetic Form Factor at Spacelike Momenta
journal, October 2013

Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons
journal, October 2017

Baryons as relativistic three-quark bound states
journal, November 2016

Current conservation and interaction currents in relativistic meson theories
journal, November 1987

Explicitly covariant light-front dynamics and relativistic few-body systems
journal, July 1998

Minkowski space pion model inspired by lattice QCD running quark mass
journal, March 2017

Point-Form Hamiltonian Dynamics and Applications
journal, September 2010

Mesonic states and vacuum replicas in potential quark models for QCD
journal, November 2004

Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
text, January 2014

Charge-conjugation symmetric complete impulse approximation for the pion electromagnetic form factor in the Covariant Spectator Theory
text, January 2015

Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons
text, January 2017

The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
text, January 2000

Unified description of light- and strange-baryon spectra
text, January 1997

Quark-Antiquark Bound States in the Relativistic Spectator Formalism
text, January 1999

Explicitly Covariant Light-Front Dynamics and Relativistic Few-Body Systems
text, January 1998

Quark Propagator in Minkowski Space
journal, June 2019