Integrable models and confinement in (2+1)-dimensional weakly-coupled Yang-Mills theory
- Physics Program, Graduate School and University Center, City University of New York, 365 Fifth Avenue, New York, New York 10016 (United States)
We generalize the (2+1)-dimensional Yang-Mills theory to an anisotropic form with two gauge coupling constants e and e{sup '}. In axial gauge, a regularized version of the Hamiltonian of this gauge theory is H{sub 0}+e{sup '2}H{sub 1}, where H{sub 0} is the Hamiltonian of a set of (1+1)-dimensional principal chiral sigma nonlinear models and H{sub 1} couples charge densities of these sigma models. We treat H{sub 1} as the interaction Hamiltonian. For gauge group SU(2), we use form factors of the currents of the principal chiral sigma models to compute the string tension for small e{sup '}, after reviewing exact S-matrix and form-factor methods. In the anisotropic regime, the dependence of the string tension on the coupling constants is not in accord with generally-accepted dimensional arguments.
- OSTI ID:
- 20871429
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 74, Issue 8; Other Information: DOI: 10.1103/PhysRevD.74.085001; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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