A Dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations - INSPIRE

DataBETA

A Dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations

A.C. Aguilar
(
- Sao Paulo, IFT
)
,
A.A. Natale
(
- Sao Paulo, IFT
)

Aug, 2004

17 pages

Published in:

JHEP 08 (2004) 057

e-Print:

hep-ph/0408254 [hep-ph]

DOI:

10.1088/1126-6708/2004/08/057

View in:

ADS Abstract Service

reference search195 citations

Citations per year

Abstract:

We study numerically the Schwinger-Dyson equations for the coupled system of gluon and ghost propagators in the Landau gauge and in the case of pure gauge QCD. We show that a dynamical mass for the gluon propagator arises as a solution while the ghost propagator develops an enhanced behavior in the infrared regime of QCD. Simple analytical expressions are proposed for the propagators, and the mass dependency on the

\Lambda_{QCD}

scale and its perturbative scaling are studied. We discuss the implications of our results for the infrared behavior of the coupling constant, which, according to fits for the propagators infrared behavior, seems to indicate that

\alpha_s (q^2) \to 0

as

q^2 \to 0

.

Note:

Erratum added online, jan/11/2005

Nonperturbative Effects
QCD
gluon: mass
Dyson-Schwinger equation
quantum chromodynamics: nonperturbative
gluon: propagator
ghost: propagator
Landau gauge
scaling
renormalization

References(44)

Figures(0)

High statistics study of the gluon propagator in the Landau gauge at beta = 6.0

P. Marenzoni
(
- Parma U.
)
,
G. Martinelli
(
- Rome U. and
- Ecole Normale Superieure and
- Washington U., Seattle
)
,
N. Stella
(
- Rome U. and
- Ecole Normale Superieure and
- Washington U., Seattle
)
,
M. Testa
(
- Rome U. and
- Ecole Normale Superieure and
- Washington U., Seattle
)

- Phys.Lett.B 318 (1993) 511-516
•
DOI:
- 10.1016/0370-2693(93)91548-2

The Gluon propagator without lattice Gribov copies on a finer lattice

C. Alexandrou
(
- Cyprus U.
)
,
P. de Forcrand
(
- Zurich, ETH and
- CERN
)
,
E. Follana
(
- Cyprus U.
)

- Phys.Rev.D 65 (2002) 114508
•
e-Print:
- hep-lat/0112043
•
DOI:
- 10.1103/PhysRevD.65.114508

The Laplacian gauge gluon propagator in SU(N(c))

C. Alexandrou
(
- Cyprus U.
)
,
P. De Forcrand
(
- Zurich, ETH and
- CERN
)
,
E. Follana
(
- Cyprus U.
)

- Phys.Rev.D 65 (2002) 117502
•
e-Print:
- hep-lat/0203006
•
DOI:
- 10.1103/PhysRevD.65.117502

Infinite volume and continuum limits of the Landau gauge gluon propagator

Frederic D.R. Bonnet
(
- Adelaide U.
)
,
Patrick O. Bowman
(
- Adelaide U. and
- Florida State U., SCS
)
,
Derek B. Leinweber
(
- Adelaide U.
)
,
Anthony G. Williams
(
- Adelaide U.
)
,
James M. Zanotti
(
- Adelaide U.
)

- Phys.Rev.D 64 (2001) 034501
•
e-Print:
- hep-lat/0101013
•
DOI:
- 10.1103/PhysRevD.64.034501

Infrared behavior of the gluon propagator on a large volume lattice

Frederic D.R. Bonnet
(
- Adelaide U.
)
,
Patrick O. Bowman
(
- Adelaide U.
)
,
Derek B. Leinweber
(
- Adelaide U.
)
,
Anthony G. Williams
(
- Adelaide U.
)

- Phys.Rev.D 62 (2000) 051501
•
e-Print:
- hep-lat/0002020
•
DOI:
- 10.1103/PhysRevD.62.051501

Gluon propagator in the infrared region

UKQCD

Collaboration

•

Derek B. Leinweber
(
- Adelaide U.
)

et al.

- Phys.Rev.D 58 (1998) 031501
•
e-Print:
- hep-lat/9803015
•
DOI:
- 10.1103/PhysRevD.58.031501

A Lattice study of the gluon propagator in momentum space

Claude W. Bernard
(
- Washington U., St. Louis
)
,
C. Parrinello
(
- New York U. and
- Brookhaven
)
,
A. Soni
(
- Brookhaven
)

- Phys.Rev.D 49 (1994) 1585-1593
•
e-Print:
- hep-lat/9307001
•
DOI:
- 10.1103/PhysRevD.49.1585

Unquenched gluon propagator in Landau gauge

Patrick O. Bowman
(
- Adelaide U. and
- Indiana U.
)
,
Urs M. Heller
(
- APS, Maryland
)
,
Derek B. Leinweber
(
- Adelaide U.
)
,
Maria B. Parappilly
(
- Adelaide U.
)
,
Anthony G. Williams
(
- Adelaide U.
)

- Phys.Rev.D 70 (2004) 034509
•
e-Print:
- hep-lat/0402032
•
DOI:
- 10.1103/PhysRevD.70.034509

Propagators and running coupling from SU(2) lattice gauge theory

Jacques C.R. Bloch
(
- Berlin, WIAS
)
,
Attilio Cucchieri
(
- Sao Paulo U., Sao Carlos
)
,
Kurt Langfeld
(
- Tubingen U.
)
,
Tereza Mendes
(
- Sao Paulo U., Sao Carlos
)

- Nucl.Phys.B 687 (2004) 76-100
•
e-Print:
- hep-lat/0312036
•
DOI:
- 10.1016/j.nuclphysb.2004.03.021

Running coupling constant and propagators in SU(2) Landau gauge

Jacques C.R. Bloch
(
- Tubingen U.
)
,
Attilio Cucchieri
(
- Sao Paulo U., Sao Carlos
)
,
Kurt Langfeld
(
- Tubingen U.
)
,
Tereza Mendes
(
- Sao Paulo U., Sao Carlos
)

- Nucl.Phys.B Proc.Suppl. 119 (2003) 736-738,
•
e-Print:
- hep-lat/0209040
•
DOI:
- 10.1016/S0920-5632(03)01649-9

Dynamical Mass Generation in Continuum QCD

John M. Cornwall
(
- UCLA
)

- Phys.Rev.D 26 (1982) 1453
•
DOI:
- 10.1103/PhysRevD.26.1453

Gauge Invariant Three Gluon Vertex in QCD

John M. Cornwall
(
- UCLA
)
,
Joannis Papavassiliou
(
- UCLA
)

- Phys.Rev.D 40 (1989) 3474
•
DOI:
- 10.1103/PhysRevD.40.3474

Coupled fermion gap and vertex equations for chiral symmetry breakdown in QCD

Joannis Papavassiliou
(
- UCLA
)
,
John M. Cornwall
(
- UCLA
)

- Phys.Rev.D 44 (1991) 1285-1297
•
DOI:
- 10.1103/PhysRevD.44.1285

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

A Solution to Coupled Dyson–Schwinger Equations for Gluons and Ghosts in Landau Gauge

- Annals Phys. 267 (1998) 1-60,
- Annals Phys. 269 (1998) 182 (erratum)
•
e-Print:
- hep-ph/9707327
•
DOI:
- 10.1006/aphy.1998.5806

Solving a coupled set of truncated QCD Dyson-Schwinger equations

A. Hauck
(
- Tubingen U.
)
,
Lorenz von Smekal
(
- Erlangen - Nuremberg U.
)
,
Reinhard Alkofer
(
- Tubingen U.
)

- Comput.Phys.Commun. 112 (1998) 166
•
e-Print:
- hep-ph/9804376
•
DOI:
- 10.1016/S0010-4655(98)00045-9

The Infrared behavior of gluon and ghost propagators in Landau gauge QCD

- Phys.Rev.Lett. 79 (1997) 3591-3594
•
e-Print:
- hep-ph/9705242
•
DOI:
- 10.1103/PhysRevLett.79.3591

Implications of analyticity to mass gap, color confinement and infrared fixed point in Yang-Mills theory

Kei-Ichi Kondo
(
- Chiba U.
)

e-Print:
- hep-th/0303251

Analytic model for the QCD running coupling with universal alpha-s (0) value

D.V. Shirkov
(
- Dubna, JINR
)
,
I.L. Solovtsov
(
- Dubna, JINR
)

- Phys.Rev.Lett. 79 (1997) 1209-1212
•
e-Print:
- hep-ph/9704333
•
DOI:
- 10.1103/PhysRevLett.79.1209

Analytic perturbation theory in analyzing some QCD observables

D.V. Shirkov
(
- Dubna, JINR
)

- Eur.Phys.J.C 22 (2001) 331-340
•
e-Print:
- hep-ph/0107282
•
DOI:
- 10.1007/s100520100794

On the QCD coupling behavior in the infrared region

D.V. Shirkov
(
- Dubna, JINR
)

- Theor.Math.Phys. 132 (2002) 1309-1319,
- Teor.Mat.Fiz. 132 (2002) 484-496
•
e-Print:
- hep-ph/0208082
•
DOI:
- 10.1023/A:1020280323189

Quantization of Nonabelian Gauge Theories

V.N. Gribov
(
- St. Petersburg, INP
)

- Nucl.Phys.B 139 (1978) 1,
•
DOI:
- 10.1016/0550-3213(78)90175-X

The Gribov conception of quantum chromodynamics

Yuri L. Dokshitzer
(
- Paris, LPTHE and
- St. Petersburg, INP
)
,
Dmitri E. Kharzeev
(
- Brookhaven
)

- Ann.Rev.Nucl.Part.Sci. 54 (2004) 487-524
•
e-Print:
- hep-ph/0404216
•
DOI:
- 10.1146/annurev.nucl.54.070103.181224

Relating a gluon mass scale to an infrared fixed point in pure gauge QCD

A.C. Aguilar
(
- Sao Paulo, IFT
)
,
A.A. Natale
(
- Sao Paulo, IFT
)
,
P.S. Rodrigues da Silva
(
- Sao Paulo, IFT
)

- Phys.Rev.Lett. 90 (2003) 152001
•
e-Print:
- hep-ph/0212105
•
DOI:
- 10.1103/PhysRevLett.90.152001

Relating the QCD pomeron to an effective gluon mass

- Phys.Rev.D 47 (1993) 295-298
•
DOI:
- 10.1103/PhysRevD.47.295

1-25 of 44
1
2
25 / page