@article{AIHPA_1980__33_4_345_0, author = {Chakrabarti, A. and Comtet, A. and Viswanathan, K. S.}, title = {$SU(n)$ meronlike configurations and {Gribov} ambiguities}, journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique}, pages = {345--362}, publisher = {Gauthier-Villars}, volume = {33}, number = {4}, year = {1980}, mrnumber = {605197}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1980__33_4_345_0/} }
TY - JOUR AU - Chakrabarti, A. AU - Comtet, A. AU - Viswanathan, K. S. TI - $SU(n)$ meronlike configurations and Gribov ambiguities JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1980 SP - 345 EP - 362 VL - 33 IS - 4 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1980__33_4_345_0/ LA - en ID - AIHPA_1980__33_4_345_0 ER -
%0 Journal Article %A Chakrabarti, A. %A Comtet, A. %A Viswanathan, K. S. %T $SU(n)$ meronlike configurations and Gribov ambiguities %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1980 %P 345-362 %V 33 %N 4 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1980__33_4_345_0/ %G en %F AIHPA_1980__33_4_345_0
Chakrabarti, A.; Comtet, A.; Viswanathan, K. S. $SU(n)$ meronlike configurations and Gribov ambiguities. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 33 (1980) no. 4, pp. 345-362. http://archive.numdam.org/item/AIHPA_1980__33_4_345_0/
[1] Phys. Rev., D 19, 1979, p. 3050. This will be referred to as I. References to principal sources concerning merons can be found in I. [For the construction of merons and related flat space solutions via De Sitter space, see the section 4 of , , and , Phys. Rev., t. D 20, 1979, p. 1884. Here the aim is to introduce from the beginning, along with spherical symmetry, the consequences of the meron ansatz (Aμ = i/2(∂μU)U-1) and explore the special features thus introduced. The spherically symmetric ansatz has been studied by several authors. See, for example. and , Phys. Lett., t. 79 B, 1978, p. 294, and the review article by , « O(3) symmetric monopoles and instantons » (talk presented at International Workshop, Serpukhov, July, 1979). Joint rotations (isospin and space) were systematically exploited for SU(3) by , Ann. Inst. H. Poincaré, t. 23, 1975, p. 235. The same ansatz for SU(3) was also adopted in , , and , Nucl. Phys. t. B 106, 1976, p. 475.
and ,[2] Nucl. Phys., t. B 149, 1979, p. 49. | MR
and , For this class of ansatz a charge 1/3, instead of being linked in some fashion with SU(3) triality (see the relevant comments in arises for SU(4) with the divergence (3.19),[3] Irrational charges depending on an angle can arise in different contexts. See for example, « Dyons of charge eθ/2π ». Ref. TH. 2724, CERN (Aug. 1979).
,[4] Phys. Lett., t. 76 B, 1978, p. 289.
and , Other sources on Gribov ambiguities are quoted in this paper,