Quark model with chiral-symmetry breaking and confinement in the Covariant Spectator Theory

We propose a model for the quark-antiquark interaction in Minkowski space using the Covariant Spectator Theory. We show that with an equal-weighted scalar-pseudoscalar structure for the confining part of our interaction kernel the axial-vector Ward-Takahashi identity is preserved and our model complies with the Adler-zero constraint for pi-pi-scattering imposed by chiral symmetry.

Note:

4 pages, 2 figures; 21st International Conference on Few-Body Problems in Physics, May 18 - 22, 2015, Chicago, USA

Ward-Takahashi identity: axial-vector
quark antiquark: interaction
symmetry: chiral
space: Minkowski
pi pi: scattering
confinement
covariance
spectator
quark model

References(27)

Figures(2)

[1]

Flavor structure of the excited baryon spectra from lattice QCD

Hadron Spectrum

Collaboration

•

Robert G. Edwards
(
- Jefferson Lab
)

et al.

- Phys.Rev.D 87 (2013) 5, 054506
•
e-Print:
- 1212.5236
•
DOI:
- 10.1103/PhysRevD.87.054506

[2]

Coupled-channel scattering on a torus

Peng Guo
(
- Jefferson Lab
)
,
Jozef Dudek
(
- Jefferson Lab and
- Old Dominion U.
)
,
Robert Edwards
(
- Jefferson Lab
)
,
Adam P. Szczepaniak
(
- Indiana U., CEEM and
- Indiana U.
)

- Phys.Rev.D 88 (2013) 1, 014501
•
e-Print:
- 1211.0929
•
DOI:
- 10.1103/PhysRevD.88.014501

[3]

Quantum chromodynamics and other field theories on the light cone

Stanley J. Brodsky
(
- SLAC
)
,
Hans-Christian Pauli
(
- Heidelberg, Max Planck Inst.
)
,
Stephen S. Pinsky
(
- Ohio State U.
)

- Phys.Rept. 301 (1998) 299-486
•
e-Print:
- hep-ph/9705477
•
DOI:
- 10.1016/S0370-1573(97)00089-6

[4]

Explicitly covariant light front dynamics and relativistic few body systems

- Phys.Rept. 300 (1998) 215-347
•
e-Print:
- nucl-th/9804029
•
DOI:
- 10.1016/S0370-1573(97)00090-2

[5]

Current Quark Model in $p$ Wave Triplet Condensed Vacuum. 3. Generalized r. $G$ .m. Equations: The $\phi$ and $\rho$ Resonances

Pedro J.de A. Bicudo
(
- Lisbon, IFM
)
,
Jose E.F.T. Ribeiro
(
- Lisbon, IFM
)

- Phys.Rev.D 42 (1990) 1635-1650
•
DOI:
- 10.1103/PhysRevD.42.1635

[6]

Mesonic states and vacuum replicas in potential quark models for QCD

A.V. Nefediev
(
- Moscow, ITEP
)
,
J.E.F.T. Ribeiro
(
- CFIF, Lisbon and
- Lisbon, IST
)

- Phys.Rev.D 70 (2004) 094020
•
e-Print:
- hep-ph/0409112
•
DOI:
- 10.1103/PhysRevD.70.094020

[7]

The Infrared behavior of QCD Green's functions: Confinement dynamical symmetry breaking, and hadrons as relativistic bound states

- Phys.Rept. 353 (2001) 281
•
e-Print:
- hep-ph/0007355
•
DOI:
- 10.1016/S0370-1573(01)00010-2

[8]

Dyson-Schwinger equations: A Tool for hadron physics

- Int.J.Mod.Phys.E 12 (2003) 297-365
•
e-Print:
- nucl-th/0301049
•
DOI:
- 10.1142/S0218301303001326

[9]

Infrared properties of QCD from Dyson-Schwinger equations

Christian S. Fischer
(
- Darmstadt, GSI
)

- J.Phys.G 32 (2006) R253-R291
•
e-Print:
- hep-ph/0605173
•
DOI:
- 10.1088/0954-3899/32/8/R02

[10]

On the Quark-Gluon Vertex and Quark-Ghost Kernel: combining Lattice Simulations with Dyson-Schwinger equations

E. Rojas
(
- Cruzeiro do Sul U.
)
,
J.P.B.C. de Melo
(
- Cruzeiro do Sul U.
)
,
B. El-Bennich
(
- Cruzeiro do Sul U.
)
,
O. Oliveira
(
- Coimbra U. and
- Sao Paulo, Inst. Tech. Aeronautics
)
,
T. Frederico
(
- Sao Paulo, Inst. Tech. Aeronautics
)

- JHEP 10 (2013) 193
•
e-Print:
- 1306.3022
•
DOI:
- 10.1007/JHEP10(2013)193

[11]

Three-dimensional covariant integral equations for low-energy systems

Franz Gross
(
- Cornell U., LNS
)

- Phys.Rev. 186 (1969) 1448-1462
•
DOI:
- 10.1103/PhysRev.186.1448

[12]

A Covariant, chirally symmetric, confining model of mesons

Franz Gross
(
- William-Mary Coll. and
- Jefferson Lab
)
,
Joseph Milana
(
- William-Mary Coll.
)

- Phys.Rev.D 43 (1991) 2401-2417
•
DOI:
- 10.1103/PhysRevD.43.2401

[13]

Decoupling confinement and chiral symmetry breaking: An Explicit model

Franz Gross
(
- William-Mary Coll. and
- Jefferson Lab
)
,
Joseph Milana
(
- William-Mary Coll.
)

- Phys.Rev.D 45 (1992) 969-974
•
DOI:
- 10.1103/PhysRevD.45.969

[14]

Goldstone pion and other mesons using a scalar confining interaction

Franz Gross
(
- William-Mary Coll. and
- Jefferson Lab
)
,
Joseph Milana
(
- Maryland U.
)

- Phys.Rev.D 50 (1994) 3332-3349
•
DOI:
- 10.1103/PhysRevD.50.3332

[15]

Quark - anti-quark bound states in the relativistic spectator formalism

Cetin Savkli
(
- William-Mary Coll.
)
,
Franz Gross
(
- William-Mary Coll. and
- Jefferson Lab
)

- Phys.Rev.C 63 (2001) 035208
•
e-Print:
- hep-ph/9911319
•
DOI:
- 10.1103/PhysRevC.63.035208

[16]

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

Elmar P. Biernat
(
- Lisbon, CFTP and
- Lisbon, IST
)
,
Franz Gross
(
- Jefferson Lab
)
,
Teresa Peña
(
- Lisbon, CFTP and
- Lisbon, IST
)
,
Alfred Stadler
(
- Evora U. and
- Lisbon U., CFNUL
)

- Phys.Rev.D 89 (2014) 1, 016005
•
e-Print:
- 1310.7545
•
DOI:
- 10.1103/PhysRevD.89.016005

[17]

The Long Range Spin Orbit Potential

Christopher Michael
(
- Illinois U., Urbana and
- Liverpool U.
)

- Phys.Rev.Lett. 56 (1986) 1219,
- In *Buchmueller, W. (ed.): Quarkonia* 285-287, and Phys. Rev. Lett. 56 (1986) 1219-1221. Preprint - Michael, C. (rec.Dec.85) 9 p
•
DOI:
- 10.1103/PhysRevLett.56.1219

[18]

From scalar to string confinement

Theodore J. Allen
(
- SUNY, Utica/Rome
)
,
M.G. Olsson
(
- Wisconsin U., Madison
)
,
Sinisa Veseli
(
- Fermilab
)

- Phys.Rev.D 62 (2000) 094021
•
e-Print:
- hep-ph/0001227
•
DOI:
- 10.1103/PhysRevD.62.094021

[19]

Complete O (v**2) corrections to the static interquark potential from SU(3) gauge theory

Gunnar S. Bali
(
- Southampton U.
)
,
Klaus Schilling
(
- Julich, NIC and
- DESY and
- Wuppertal U.
)
,
Armin Wachter
(
- Julich, NIC and
- DESY and
- Wuppertal U.
)

- Phys.Rev.D 56 (1997) 2566-2589
•
e-Print:
- hep-lat/9703019
•
DOI:
- 10.1103/PhysRevD.56.2566

[20]

Chiral symmetry and spin dependence of the quark - anti-quark forces in quarkonium

J.E. Villate
(
- Lisbon, IFM
)
,
D.S. Liu
(
- ICTP, Trieste
)
,
J.E. Ribeiro
(
- Lisbon, IFM
)
,
P.J. de A.Bicudo
(
- Lisbon, IFM and
- Lisbon, IST
)

- Phys.Rev.D 47 (1993) 1145-1154
•
DOI:
- 10.1103/PhysRevD.47.1145

[21]

Consistency conditions on the strong interactions implied by a partially conserved axial vector current

Stephen L. Adler
(
- Princeton U.
)

- Phys.Rev. 137 (1965) B1022-B1033,
•
DOI:
- 10.1103/PhysRev.137.B1022

[22]

Current Conservation and Interaction Currents in Relativistic Meson Theories

Franz Gross
(
- William-Mary Coll.
)
,
D.O. Riska
(
- Helsinki U.
)

- Phys.Rev.C 36 (1987) 1928
•
DOI:
- 10.1103/PhysRevC.36.1928

[23]

Unitary, relativistic resonance model for pi N scattering

Franz Gross
(
- William-Mary Coll. and
- Jefferson Lab
)
,
Yohanes Surya
(
- William-Mary Coll.
)

- Phys.Rev.C 47 (1993) 703-723,
- Phys. Rev. C47 (1993) 703-723 and Southeast. Univ. R. A. Newport News - CEBAF-TH-92-19 (rec.Oct.92) 59 p. (219996) William & Mary Coll. Williamsburg - WM-92-110 (92,rec.Oct.) 59 p.
•
DOI:
- 10.1103/PhysRevC.47.703

[24]

Unitary, gauge invariant, relativistic resonance model for pion photoproduction

Yohanes Surya
(
- William-Mary Coll.
)
,
Franz Gross
(
- William-Mary Coll. and
- Jefferson Lab
)

- Phys.Rev.C 53 (1996) 2422-2448
•
DOI:
- 10.1103/PhysRevC.53.2422

[25]

Chiral symmetry and $\pi$ - $\pi$ scattering in the covariant spectator theory

Elmar P. Biernat
(
- Lisbon, CFTP and
- Lisbon, IST
)
,
M.T. Peña
(
- Lisbon, CFTP and
- Lisbon, IST
)
,
J.E. Ribeiro
(
- Lisbon U.
)
,
Alfred Stadler
(
- Evora U. and
- Lisbon, CFTP and
- Lisbon, IST
)
,
Franz Gross
(
- Jefferson Lab
)

- Phys.Rev.D 90 (2014) 9, 096008
•
e-Print:
- 1408.1625
•
DOI:
- 10.1103/PhysRevD.90.096008

1-25 of 27
1
2
25 / page