A first look at Landau-gauge propagators in G2 Yang-Mills theory

被引:25
作者
Maas, Axel [1 ]
Olejnik, Stefan [1 ]
机构
[1] Slovak Acad Sci, Inst Phys, Dept Complex Phys Syst, Dubravska Cesta 9, SK-84511 Bratislava, Slovakia
关键词
nonperturbative effects; field theories in lower dimensions; lattice gauge field theories; confinement;
D O I
10.1088/1126-6708/2008/02/070
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
G(2) Yang-Mills theory is an interesting laboratory to investigate non-perturbative effects. On one hand, no conventional quark confinement via a linearly rising potential is present. On the other hand, its thermodynamic properties are similar to ordinary SU(N) Yang-Mills theory. Finally, it has been conjectured that gluons are removed from the physical spectrum in the same way as in SU( N) Yang-Mills theory. The last claim will be explored by determining the Landau-gauge ghost and gluon propagators, as well as the Faddeev-Popov operator eigenspectrum, in G(2) lattice gauge theory in two and three dimensions. The results are found to agree qualitatively with the SU( 2) and SU( 3) case. Therefore, the conjecture that Yang-Mills theories with different gauge groups are qualitatively similar on the level of their Landau gauge Green's functions is supported.
引用
收藏
页数:22
相关论文
共 74 条
[51]   On the spectrum of the Faddeev-Popov operator in topological background fields [J].
Maas, A. .
EUROPEAN PHYSICAL JOURNAL C, 2006, 48 (01) :179-192
[52]   Gluons at finite temperature in Landau gauge Yang-Mills theory [J].
Maas, A .
MODERN PHYSICS LETTERS A, 2005, 20 (24) :1797-1811
[53]   High-temperature limit of Landau-gauge Yang-Mills theory [J].
Maas, A ;
Wambach, J ;
Grüter, B ;
Alkofer, R .
EUROPEAN PHYSICAL JOURNAL C, 2004, 37 (03) :335-357
[54]   Instantons, monopoles, vortices, and the Faddeev-Popov operator eigenspectrum [J].
Maas, Axel .
NUCLEAR PHYSICS A, 2007, 790 :566C-569C
[55]  
MAAS T, 2007, PHYS REV D, V75, P6004
[56]   The sphere S6 viewed as a G2/SU(3) coset space [J].
MacFarlane, AJ .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2002, 17 (19) :2595-2613
[57]  
Montvay I., 1994, QUANTUM FIELDS LATTI
[58]   Infrared features of the lattice Landau gauge QCD [J].
Nakajima, H ;
Furui, S .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2004, 129 :730-732
[59]   Infrared behavior and fixed points in landau-gauge QCD [J].
Pawlowski, JM ;
Litim, DF ;
Nedelko, S ;
von Smekal, L .
PHYSICAL REVIEW LETTERS, 2004, 93 (15) :152002-1
[60]   Exceptional deconfinernent in G(2) gauge theory [J].
Pepe, M. ;
Wiese, U.-J. .
NUCLEAR PHYSICS B, 2007, 768 (1-2) :21-37