Semiclassical1/N approximation and effective string dynamics in the SU(N) gauge theory

Journal Article · Sun Jan 01 04:00:00 EST 1995 · Physics of Atomic Nuclei

OSTI ID:81248

Iroshnikov, G S ^[1]

---

1. 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, Journal Name: Physics of Atomic Nuclei Journal Issue: 1 Vol. 58; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CORRELATION FUNCTIONS
FIELD THEORIES
PARTITION FUNCTIONS
STRING MODELS
STRONG INTERACTIONS
SU GROUPS