Abstract
The structure of the chromoelectric string in the Euclidian formulation of Yang-Mills theory is studied by using multipoint correlation functions involving Wilson loop operators and the strength tensors of the gluon field. It is shown that the local densities of the action functional and the squared topological charge in the vicinity of the static-string axis must be markedly smaller than the corresponding values far off the string. Analytic results obtained in this study are in agreement with the results of a lattice simulation of Yang-Mills theory.
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References
G. S. Bali, hep-ph/9809351; Phys. Rep. 343, 1 (2001); in Newport News 1998, Quark Confinement and the Hadron Spectrum III, Ed. by Nathan Isgur (World Sci., Singapore, 2000), p. 17.
G. S. Bali, C. Schlichter, and K. Schilling, Phys. Rev. D 51, 5165 (1995).
V. G. Bornyakov et al. Phys. Rev. D 70, 054506 (2004); V. G. Bornyakov et al., Prog. Theor. Phys. 112, 307 (2004).
F. Bissey et al., hep-lat/0501004; Nucl. Phys. B (Proc. Suppl.) 141, 22 (2005); F. Bissey, F. G. Cao, A. R. Kitson, et al., hep-lat/0606016.
R. W. Haymaker, V. Singh, Y. C. Peng, and J. Wosiek, Phys. Rev. D 53, 389 (1996); T. T. Takahashi, H. Suganuma, Y. Nemoto, and H. Matsufuru, Phys. Rev. D 65, 114509 (2002); F. Okiharu and R. M. Woloshyn, Nucl. Phys. B (Proc. Suppl.) 129, 745 (2004); A. M. Green, C. Michael, and P. S. Spencer, hep-lat/9610011; Phys. Rev. D 55, 1216 (1997); A. M. Green, P. S. Spencer, and C. Michael, hep-lat/9609019; A. M. Green et al. in Como 1996, Quark Confinement and the Hadron Spectrum II, Ed. by N. Brambilla and G. M. Prosperi (World Sci., River Edge, 1997), p. 289.
F. Karsch, Nucl. Phys. B 205, 285 (1982); C. Michael, Nucl. Phys. B 280, 13 (1987); H. G. Dosch, O. Nachtmann, and M. Rueter, Phys. Lett. B 355, 260 (1995); Phys. Lett. B 364, 227 (1995).
M. N. Chernodub et al., Phys. Rev. D 72, 074505 (2005).
M. Faber, H. Markum, S. Olejnik, and W. Sakuler, Phys. Lett. B 334, 145 (1994).
S. Thurner, M. Feurstein, H. Markum, and W. Sakuler, Phys. Rev. D 54, 3457 (1996).
M. N. Chernodub and F. V. Gubarev, Phys. Rev. D 76, 016003 (2007).
M. Luscher, G. Munster, and P. Weisz, Nucl. Phys. B 180, 1 (1981).
H. G. Dosch, Phys. Lett. B 190, 177 (1987); H. G. Dosch and Yu. A. Simonov, Phys. Lett. B 205, 339 (1988); Yu. A. Simonov, Nucl. Phys. B 307, 512 (1988).
A. Di Giacomo, H. G. Dosch, V. I. Shevchenko, and Yu. A. Simonov, hep-ph/0007223; Phys. Rept. 372, 319 (2002).
D. S. Kuzmenko, V. I. Shevchenko, and Yu. A. Simonov, Phys. Usp. 47, 1 (2004); hep-ph/0310190; Yu. A. Simonov, hep-ph/9709344; Phys. Usp. 39, 313 (1996).
M. N. Chernodub and I. E. Kozlov, arXiv:0705.4624 [hep-ph]; JETP Lett. 86, 1 (2007).
B. L. Ioffe, Yad. Fiz. 62, 2226 (1999) [Phys. At. Nucl. 62, 2052 (1999)].
A. Di Giacomo, E. Meggiolaro, and H. Panagopoulos, Nucl. Phys. B 483, 371 (1997).
M. D’Elia, A. Di Giacomo, and E. Meggiolaro, Phys. Lett. B 408, 315 (1997).
Yu. A. Simonov, hep-ph/0001244; JETP Lett. 71, 187 (2000); V. Shevchenko and Yu. Simonov, Phys. Rev. Lett. 85, 1811 (2000).
D. S. Kuzmenko and Yu. A. Simonov, Phys. Lett. B 494, 81 (2000); Phys. At. Nucl. 64, 107 (2001).
E. Meggiolaro, Phys. Lett. B 451, 414 (1999).
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Original Russian Text © I.E. Kozlov, M.N. Chernodub, 2009, published in Yadernaya Fizika, 2009, Vol. 72, No. 2, pp. 372–378.
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Kozlov, I.E., Chernodub, M.N. Structure of a confining gluon string within the field correlator method. Phys. Atom. Nuclei 72, 343–349 (2009). https://doi.org/10.1134/S1063778809020227
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DOI: https://doi.org/10.1134/S1063778809020227