Integrability and duality in two-dimensional QCD
نویسنده
چکیده
We consider bosonized QCD2, and prove that after rewriting the theory in terms of gaugeinvariant fields, there exists an integrability condition that is valid for the quantum theory as well. Furthermore, performing a duality-type transformation we obtain an appropriate action for the description of the strong coupling limit, which is still integrable. We also prove that the model displays a complicated set of constraints, restricting the dynamics of part of the theory, but which are necessary to maintain the positive metric Hilbert space. CERN-TH.7354/94 July 1994 hep-th 9407128 ∗ Permanent address: Instituto de F́ısica, USP, C.P. 20516, S. Paulo, Brazil. ∗∗ Permanent address: Instituto de F́ısica Teórica UNESP, R. Pamplona 145, 01405-000, S.Paulo, Brazil.
منابع مشابه
How quark hadron duality in QCD may work
We pursue the issue of the local quark-hadron duality at high energies in twoand four-dimensional QCD. A mechanism of the dynamical realization of the quark-hadron duality in two-dimensional QCD in the limit of large number of colors, Nc → ∞, (the ’ t Hooft model) is investigated. We argue that a similar mechanism of dynamical smearing may be relevant in four-dimensional QCD. Although particula...
متن کاملAn Illustrative Example of How Quark-Hadron Duality Might Work
We discuss the issue of the local quark-hadron duality at high energies in twoand four-dimensional QCD. A mechanism of the dynamical realization of the quark-hadron duality in two-dimensional QCD in the limit of large number of colors, Nc → ∞, (the ’t Hooft model) is considered. A similar mechanism of dynamical smearing may be relevant in four-dimensional QCD. Although particular details of our...
متن کاملIntegrability in Qcd and Beyond
Yang–Mills theories in four space-time dimensions possess a hidden symmetry which does not exhibit itself as a symmetry of classical Lagrangians, but is only revealed on the quantum level. It turns out that the effective Yang–Mills dynamics in several important limits is described by completely integrable systems that prove to be related to the celebrated Heisenberg spin chain and its generaliz...
متن کاملOn the geometry of classically integrable two-dimensional non-linear sigma models
A master equation expressing the classical integrability of two-dimensional non-linear sigma models is found. The geometrical properties of this equation are outlined. In particular, a closer connection between integrability and T-duality transformations is emphasised. Finally, a whole new class of integrable non-linear sigma models is found and all their corresponding Lax pairs depend on a spe...
متن کاملLoop scattering in two-dimensional QCD.
Using the integrability conditions that we recently obtained in QCD 2 with massless fermions, we arrive at a sufficient number of conservation laws to be able to fix the scattering amplitudes involving a local version of the Wilson loop operator.
متن کامل