Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-11-14
Int.J.Mod.Phys. A19 (2004) 205-226
Physics
High Energy Physics
High Energy Physics - Theory
19 pages
Scientific paper
10.1142/S0217751X04016489
Two dimensional SU(N) Yang-Mills theory is known to be equivalent to a string theory, as found by Gross in the large N limit, using the 1/N expansion. Later it was found that even a generalized YM theory leads to a string theory of the Gross type. In the standard YM theory case, Douglas and others found the string hamiltonian describing the propagation and the interactions of states made of strings winding on a cylindrical space-time. We address the problem of finding a similar hamiltonian for the generalized YM theory. As in the standard case we start by writing the theory as a theory of free fermions. Performing a bosonization, we express the hamiltonian in terms of the modes of a bosonic field, that are interpreted as in the standard case as creation and destruction operators for states of strings winding around the cylindrical space-time. The result is similar to the standard hamiltonian, but with new kinds of interaction vertices.
Dubath Florian
Lelli Simone
Rissone Anna
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