Semiclassical1/N approximation and effective string dynamics in the SU(N) gauge theory
- Moscow Institute of Physics and Technology (Russian Federation)
An open string that binds quarks in the hadron arises in the nonperturbative calculation of hadron-field correlation functions in the strong-coupling regime of the SU(N) gauge field theory for N {much_gt} 1. An extremum of the effective two-dimensional action functional that arises in the calculation of correlation functions in the framework of the semiclassical 1/N expansion corresponds to a topologically nontrivial configuration of the gauge field. This configuration forms a chromoelectric Nambu string with additional constraints restricting the space of quantum states of the string. The partition function of the string is expressed only in terms of the Euler characteristic of the string world sheet. A procedure for renormalizing the string tension is formulated. The Gell-Mann-Low function for the nonperturbative phase of the SU(N) gauge theory coincides with the first term of the expansion of the {beta}-function in the strong-coupling approximation of the Hamiltonian formulation of the lattice field theory. The calculation of correlation functions in the approximation of scalar quarks leads to the Koba-Nielsen formula for dual resonance amplitudes. The above distinctions manifest themselves mainly in the calculation of the partition function, but drop out of the expressions for correlation functions. 11 refs., 1 fig.
- OSTI ID:
- 81248
- Journal Information:
- Physics of Atomic Nuclei, Vol. 58, Issue 1; Other Information: PBD: Jan 1995; TN: Translated from Yadernaya Fizika; 58: No. 1, 149-154(1995)
- Country of Publication:
- United States
- Language:
- English
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