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Quark-antiquark potential in the analytic approach to QCD
Phys. Rev. D 62, 094028 – Published 12 October, 2000
DOI: https://doi.org/10.1103/PhysRevD.62.094028
Abstract
The quark-antiquark potential is constructed by making use of a new analytic running coupling in QCD. This running coupling arises under “analytization” of the renormalization group equation. The rising behavior of the quark-antiquark potential at large distances, which provides the quark confinement, is shown explicitly. At small distances, the standard behavior of this potential originating in the QCD asymptotic freedom is revealed. The higher loop corrections and the scheme dependence of the approach are briefly discussed.
References (16)
- E. Eichten et al., Phys. Rev. D 17, 3090 (1978); A. Martin, Phys. Lett. 93B, 338 (1980); ibid.C. Quigg and J. L. Rosner, 71B, 153 (1977).
- B. M. Barbashov and V. V. Nesterenko, Introduction to the Relativistic String Theory (World Scientific, Singapore, 1990).
- P. Hasenfratz and J. Kuti, Phys. Rep., Phys. Lett. 40C, 75 (1978); S. Adler and T. Piran, Rev. Mod. Phys. 56, 1 (1984).
- G. S. Bali, C. Schlichter, and K. Schilling, Phys. Rev. D 51, 5165 (1995).
- N. Brambilla and A. Vairo, “Quark Confinement and the Hadron Spectrum,” hep-ph/9904330.
- I. L. Solovtsov, Phys. Lett. B 327, 335 (1994).
- D. V. Shirkov and I. L. Solovtsov, Phys. Rev. Lett. 79, 1209 (1997).
- I. L. Solovtsov and D. V. Shirkov, Theor. Math. Phys. 120, 482 (1999).
- A. V. Nesterenko, Diploma thesis, Moscow State University, 1998.
- A. V. Nesterenko, in Particle Physics on the Boundary of Millenniums, Proceedings of the 9th International Lomonosov Conference on Elementary Particle Physics, Moscow, Russia, 1999, edited by A. Studenikin (MSU and ICAS) (to be published).
- J. L. Richardson, Phys. Lett. 82B, 272 (1979); R. Levine and Y. Tomozawa, Phys. Rev. D 19, 1572 (1979).
- N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields (Interscience, New York, 1980).
- W. Wetzel, Nucl. Phys. B139, 170 (1978).
- A. I. Alekseev and B. A. Arbuzov, Mod. Phys. Lett. A 13, 1747 (1998).
- I. S. Gradshteijn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1994).
- H. Bateman and A. Erdelyi, Higher Transcendental Functions (McGraw-Hill, New York, 1953–1955), Vol. 3.