Signals of confinement in Green functions of SU(2) Yang-Mills theory.

It has been well established that the removal of center vortices from SU(2) lattice configurations results in the loss of confinement. The running coupling constant, gluon form factor, and ghost form factor are studied in the Landau gauge for the full and the vortex removed theory. In the latter case, a strong suppression of the running coupling constant and the gluon form factor at low momenta is observed, and the IR singularity of the ghost form factor disappears. Hence, the removal of the vortices generates a theory for which Zwanziger's horizon condition for confinement is no longer satisfied.

[1]  D. Zwanziger,et al.  Coulomb energy, remnant symmetry, and the phases of non-Abelian gauge theories , 2004, hep-lat/0401003.

[2]  A. Cucchieri,et al.  Propagators and running coupling from SU(2) lattice gauge theory , 2003, hep-lat/0312036.

[3]  V. Mitrjushkin,et al.  Practical problems to compute the ghost propagator in SU(2) lattice gauge theory , 2003, hep-lat/0311041.

[4]  K. Langfeld.  Vortex structures in pure SU ( 3 ) lattice gauge theory , 2003, hep-lat/0307030.

[5]  A. Szczepaniak.  Confinement and gluon propagator in Coulomb gauge QCD , 2003, hep-ph/0306030.

[6]  K. Langfeld.  Vortex critical behavior at the deconfinement phase transition , 2003, hep-lat/0304012.

[7]  J. Bloch.  Two-Loop Improved Truncation of the Ghost-Gluon Dyson-Schwinger Equations: Multiplicatively Renormalizable Propagators and Nonperturbative Running Coupling , 2003, hep-ph/0303125.

[8]  J. Greensite.  The Confinement Problem in Lattice Gauge Theory , 2003, hep-lat/0301023.

[9]  D. Zwanziger.  Time-independent stochastic quantization, Dyson-Schwinger equations, and infrared critical exponents in QCD , 2002, hep-th/0206053.

[10]  C. Fischer,et al.  Infrared exponents and running coupling of SU(N) Yang–Mills theories , 2002, hep-ph/0202202.

[11]  C. Fischer,et al.  The Elusiveness of infrared critical exponents in Landau gauge Yang-Mills theories , 2002, hep-ph/0202195.

[12]  C. Lerche,et al.  Infrared exponent for gluon and ghost propagation in Landau gauge QCD , 2002, hep-ph/0202194.

[13]  D. Zwanziger.  Nonperturbative Landau gauge and infrared critical exponents in QCD , 2001, hep-th/0109224.

[14]  H. Reinhardt,et al.  Gluon propagator and quark confinement , 2001, hep-ph/0107141.

[15]  A. Szczepaniak,et al.  Coulomb gauge QCD, confinement, and the constituent representation , 2001, hep-ph/0107078.

[16]  J. Bloch.  Multiplicative renormalizability of gluon and ghost propagators in QCD , 2001, hep-ph/0106031.

[17]  J. Greensite,et al.  Remarks on the Gribov problem in the direct maximal center gauge , 2001, hep-lat/0103030.

[18]  F. Bonnet,et al.  Infinite Volume and Continuum Limits of the Landau-Gauge Gluon Propagator , 2001, hep-lat/0101013.

[19]  V. Bornyakov,et al.  P-vortices and drama of Gribov copies , 2000, hep-lat/0009035.

[20]  R. Alkofer,et al.  The infrared behaviour of QCD Green's functions ☆: Confinement, dynamical symmetry breaking, and hadrons as relativistic bound states , 2000, hep-ph/0007355.

[21]  H. Reinhardt,et al.  Center vortex model for the infrared sector of Yang–Mills theory — confinement and deconfinement , 2000, hep-lat/0311029.

[22]  C. Roberts,et al.  Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD , 2000, nucl-th/0005064.

[23]  H. Reinhardt,et al.  Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition , 2000 .

[24]  H. Reinhardt,et al.  Center vortices of Yang-Mills theory at finite temperatures 1 Supported in part by DFG under contrac , 1999 .

[25]  A. Cucchieri.  Infrared behavior of the gluon propagator in the lattice Landau gauge: The three-dimensional case , 1999, hep-lat/9902023.

[26]  P. Forcrand,et al.  Relevance of center vortices to QCD , 1999, hep-lat/9901020.

[27]  Jozef Baruník.  Diploma thesis , 1999 .

[28]  J. Bloch,et al.  Running coupling in nonperturbative QCD : Bare vertices and y-max approximation , 1998 .

[29]  J. Bloch,et al.  QCD IN THE INFRARED WITH EXACT ANGULAR INTEGRATIONS , 1998, hep-ph/9802239.

[30]  C. Wetterich,et al.  NONPERTURBATIVE FLOW EQUATIONS IN QCD , 1998 .

[31]  L. Debbio,et al.  Detection of center vortices in the lattice Yang-Mills vacuum , 1998, hep-lat/9801027.

[32]  J. Bloch,et al.  Running coupling in non-perturbative QCD , 1997, hep-ph/9712459.

[33]  A. Cucchieri.  Infrared Behavior of the Gluon Propagator in Lattice Landau Gauge , 1997, hep-lat/9709015.

[34]  Lorenz von Smekal,et al.  A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge , 1997, hep-ph/9707327.

[35]  H. Reinhardt,et al.  Confinement and scaling of the vortex vacuum of SU(2) lattice gauge theory 1 Supported in part by DF , 1997, hep-lat/9710068.

[36]  R. Alkofer,et al.  INFRARED BEHAVIOR OF GLUON AND GHOST PROPAGATORS IN LANDAU GAUGE QCD , 1997, hep-ph/9705242.

[37]  A. Cucchieri.  Gribov copies in the minimal Landau gauge: The influence on gluon and ghost propagators , 1997, hep-lat/9705005.

[38]  L. Debbio,et al.  Center Dominance and Z2 Vortices in SU(2) Lattice Gauge Theory , 1996, hep-lat/9610005.

[39]  K. Schilling,et al.  First lattice study of ghost propagators in SU(2) and SU(3) gauge theories , 1995, hep-lat/9512003.

[40]  D. Zwanziger.  Critical limit of lattice gauge theory , 1992 .

[41]  Izumi Ojima,et al.  Local Covariant Operator Formalism of Non-Abelian Gauge Theories and Quark Confinement Problem , 1979 .

[42]  V. N. Gribov,et al.  Quantization of non-Abelian gauge theories , 1978 .

[43]  John Taylor,et al.  Ward identities and charge renormalization of the Yang-Mills field , 1971 .