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Generalized hedgehog ansatz and Gribov copies in regions with nontrivial topologies

Fabrizio Canfora
(
- CECS, Valdivia and
- Andres Bello Natl. U.
)
,
Patricio Salgado-Rebolledo
(
- CECS, Valdivia and
- Concepcion U.
)

Feb 5, 2013

13 pages

Published in:

Phys.Rev.D 87 (2013) 045023

Published: Feb 21, 2013

e-Print:

1302.1264 [hep-th]

DOI:

10.1103/PhysRevD.87.045023

View in:

ADS Abstract Service

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Abstract: (APS)

In this paper the arising of Gribov copies both in Landau and Coulomb gauges in regions with nontrivial topologies but flat metric, (such as closed tubes S1×D2, or R×T2) will be analyzed. Using a novel generalization of the hedgehog ansatz beyond spherical symmetry, analytic examples of Gribov copies of the vacuum will be constructed. Using such ansatz, we will also construct the elliptic Gribov pendulum. The requirement of absence of Gribov copies of the vacuum satisfying the strong boundary conditions implies geometrical constraints on the shapes and sizes of the regions with nontrivial topologies.

Note:

25 pages; Version accepted for publication on Physical Review D. New References included

11.15.Bt
04.62.+v
03.70.+k
11.10.-z
symmetry: rotation
Gribov problem
topology
boundary condition
Coulomb gauge

References(46)

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[1]

Aspects of the Hamiltonian Dynamics of Interacting Gravitational Gauge and Higgs Fields with Applications to Spherical Symmetry

- Nucl.Phys.B 122 (1977) 61-99
•
DOI:
- 10.1016/0550-3213(77)90426-6

[1]

Constrained Hamiltonian Systems

A. Hanson
,
T. Regge
,
C. Teitelboim

[2]

Quantum Field Theory and the Jones Polynomial

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Commun.Math.Phys. 121 (1989) 351-399,
•
DOI:
- 10.1007/BF01217730

[3]

The global approach to quantum field theory. Vol. 1, 2

Bryce S. DeWitt
(
- Texas U.
)

- Int.Ser.Monogr.Phys. 114 (2003) 1-1042

[4]

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

[5]

Some Remarks on the Gribov Ambiguity

I.M. Singer
(
- UC, Berkeley and
- MIT, LNS
)

- Commun.Math.Phys. 60 (1978) 7-12
•
DOI:
- 10.1007/BF01609471

[6]

Coulomb Gauge Description of Large Yang-Mills Fields

- Phys.Rev.D 17 (1978) 1576
•
DOI:
- 10.1103/PhysRevD.17.1576

[7]

Nonperturbative Modification of the Faddeev-popov Formula and Banishment of the Naive Vacuum

Daniel Zwanziger
(
- New York U.
)

- Nucl.Phys.B 209 (1982) 336-348
•
DOI:
- 10.1016/0550-3213(82)90260-7

[8]

Local and Renormalizable Action From the Gribov Horizon

D. Zwanziger
(
- New York U.
)

- Nucl.Phys.B 323 (1989) 513-544
•
DOI:
- 10.1016/0550-3213(89)90122-3

[9]

Ellipsoidal Bound on the Gribov Horizon Contradicts the Perturbative Renormalization Group

G. Dell'Antonio
(
- Rome U.
)
,
D. Zwanziger
(
- New York U.
)

- Nucl.Phys.B 326 (1989) 333-350
•
DOI:
- 10.1016/0550-3213(89)90135-1

[10]

Renormalization in the Coulomb gauge and order parameter for confinement in QCD

D. Zwanziger
(
- New York U.
)

- Nucl.Phys.B 518 (1998) 237-272
•
DOI:
- 10.1016/S0550-3213(98)00031-5

[10]

No confinement without Coulomb confinement

Daniel Zwanziger
(
- New York U.
)

- Phys.Rev.Lett. 90 (2003) 102001
•
e-Print:
- hep-lat/0209105
•
DOI:
- 10.1103/PhysRevLett.90.102001

[11]

More (thoughts on) Gribov copies

Pierre van Baal
(
- Utrecht U.
)

- Nucl.Phys.B 369 (1992) 259-275
•
DOI:
- 10.1016/0550-3213(92)90386-P

[12]

Introduction to the Gribov ambiguities in Euclidean Yang-Mills theories

e-Print:
- hep-th/0504095

[12]

Gribov ambiguities in the maximal Abelian gauge

D. Dudal
(
- Gent U.
)
,
M.A.L. Capri
(
- Gent U. and
- Rio de Janeiro State U. and
- Liverpool U., Dept. Math.
)
,
J.A. Gracey
(
- Gent U. and
- Rio de Janeiro State U. and
- Liverpool U., Dept. Math.
)
,
V.E.R. Lemes
(
- Gent U. and
- Rio de Janeiro State U. and
- Liverpool U., Dept. Math.
)
,
R.F. Sobreiro
(
- Gent U. and
- Rio de Janeiro State U. and
- Liverpool U., Dept. Math.
)

et al.

- Braz.J.Phys. 37 (2007) 320-324
•
e-Print:
- hep-th/0609160
•
DOI:
- 10.1590/S0103-97332007000200025

[13]

The Gribov problem and QCD dynamics

N. Vandersickel
(
- Gent U.
)
,
Daniel Zwanziger
(
- New York U.
)

- Phys.Rept. 520 (2012) 175-251
•
e-Print:
- 1202.1491
•
DOI:
- 10.1016/j.physrep.2012.07.003

[14]

Infrared analysis of Dyson-Schwinger equations taking into account the Gribov horizon in Landau gauge

Markus Q. Huber
(
- Graz U.
)
,
Reinhard Alkofer
(
- Graz U.
)
,
Silvio P. Sorella
(
- Rio de Janeiro State U.
)

- Phys.Rev.D 81 (2010) 065003
•
e-Print:
- 0910.5604
•
DOI:
- 10.1103/PhysRevD.81.065003

[15]

Nonperturbative Landau gauge and infrared critical exponents in QCD

Daniel Zwanziger
(
- New York U.
)

- Phys.Rev.D 65 (2002) 094039
•
e-Print:
- hep-th/0109224
•
DOI:
- 10.1103/PhysRevD.65.094039

[16]

Gribov problem for gauge theories: A Pedagogical introduction

Giampiero Esposito
(
- INFN, Naples and
- Naples U.
)
,
Diego N. Pelliccia
(
- Ferrara U. and
- INFN, Ferrara
)
,
Francesco Zaccaria
(
- Naples U. and
- INFN, Naples
)

- Int.J.Geom.Meth.Mod.Phys. 1 (2004) 423-441
•
e-Print:
- hep-th/0404240
•
DOI:
- 10.1142/S0219887804000216

[17]

Dynamical Stability of the {BRS} Supersymmetry and the Gribov Problem

Kazuo Fujikawa
(
- INS, Tokyo
)

- Nucl.Phys.B 223 (1983) 218-234
•
DOI:
- 10.1016/0550-3213(83)90102-5

[18]

Landau gauge within the Gribov horizon

Nicola Maggiore
(
- New York U.
)
,
Martin Schaden
(
- New York U.
)

- Phys.Rev.D 50 (1994) 6616-6625
•
e-Print:
- hep-th/9310111
•
DOI:
- 10.1103/PhysRevD.50.6616

[19]

One loop gluon form factor and freezing of alpha(s) in the Gribov-Zwanziger QCD Lagrangian

J.A. Gracey
(
- Liverpool U., Dept. Math.
)

- JHEP 05 (2006) 052,
- JHEP 02 (2010) 078 (erratum)
•
e-Print:
- hep-ph/0605077
•
DOI:
- 10.1088/1126-6708/2006/05/052

[20]

The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge

D. Dudal
(
- Gent U.
)
,
R.F. Sobreiro
(
- Rio de Janeiro State U.
)
,
S.P. Sorella
(
- Rio de Janeiro State U.
)
,
H. Verschelde
(
- Gent U.
)

- Phys.Rev.D 72 (2005) 014016
•
e-Print:
- hep-th/0502183
•
DOI:
- 10.1103/PhysRevD.72.014016

[21]

New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach

D. Dudal
(
- Gent U.
)
,
S.P. Sorella
(
- Rio de Janeiro State U.
)
,
N. Vandersickel
(
- Gent U.
)
,
H. Verschelde
(
- Gent U.
)

- Phys.Rev.D 77 (2008) 071501
•
e-Print:
- 0711.4496
•
DOI:
- 10.1103/PhysRevD.77.071501

[22]

A Refinement of the Gribov-Zwanziger approach in the Landau gauge: Infrared propagators in harmony with the lattice results

David Dudal
(
- Gent U.
)
,
John A. Gracey
(
- Liverpool U., Dept. Math.
)
,
Silvio Paolo Sorella
(
- Rio de Janeiro State U.
)
,
Nele Vandersickel
(
- Gent U.
)
,
Henri Verschelde
(
- Gent U.
)

- Phys.Rev.D 78 (2008) 065047
•
e-Print:
- 0806.4348
•
DOI:
- 10.1103/PhysRevD.78.065047

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