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Gauge invariance of the dimension-two condensate in the Yang-Mills theory. (English) Zbl 1178.81185

Theor. Math. Phys. 143, No. 1, 489-493 (2005); translation from Teor. Mat. Fiz. 143, No. 1, 3-8 (2005).
Summary: We demonstrate the gauge independence of the dimension-two vacuum condensate in the Yang-Mills theory using a noncommutative theory technique.

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory

References:

[1] M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B, 147, 345, 448 (1979).
[2] M. Lavelle and M. Schaden, Phys. Lett. B, 208, 297 (1988); M. Lavelle and M. Oleszczuk, Modern Phys. Lett. A, 7, 3617 (1992). · doi:10.1016/0370-2693(88)90433-9
[3] P. Boucaud, A. Le Yaouanc, J. P. Leroy, J. Micheli, O. Pene, and J. Rodriguez-Quintero, Phys. Lett. B, 493, 315 (2000). · doi:10.1016/S0370-2693(00)01149-7
[4] F. V. Gubarev, L. Stodolsky, and V. I. Zakharov, Phys. Rev. Lett., 86, 2220 (2001); F. V. Gubarev and V. I. Zakharov, Phys. Lett. B, 501, 28 (2001). · doi:10.1103/PhysRevLett.86.2220
[5] K. I. Kondo, Phys. Lett. B, 514, 335 (2001). · Zbl 0971.81077 · doi:10.1016/S0370-2693(01)00817-6
[6] M. Douglas and N. Nekrasov, Rev. Modern Phys., 73, 977 (2001). · Zbl 1205.81126 · doi:10.1103/RevModPhys.73.977
[7] S. Minwalla, M. Van Raamsdonk, and N. Seiberg, JHEP, 9906, 007 (1999); I. Ya. Arefeva, D. M. Belov, and A. S. Koshelev, Phys. Lett. B, 476, 431 (2000); M. Hayakawa, Phys. Lett. B, 478, 394 (2000); A. Matusis, L. Susskind, and N. Tombas, JHEP, 0012, 002 (2000). · Zbl 0961.81064 · doi:10.1088/1126-6708/1999/06/007
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