Scientific article

String hamiltonian from generalized YM gauge theory in two dimensions

Published inInternational journal of modern physics A, vol. 19, no. 2, p. 205-225
Publication date2004

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.

  • String-YM correspondence
  • Two-dimensional Yang-Mills
Citation (ISO format)
DUBATH, Florian, LELLI, Simone, RISSONE, Anna. String hamiltonian from generalized YM gauge theory in two dimensions. In: International journal of modern physics A, 2004, vol. 19, n° 2, p. 205–225. doi: 10.1142/S0217751X04016489
Main files (1)
Article (Submitted version)
ISSN of the journal0217-751X

Technical informations

Creation07/07/2016 11:31:00 AM
First validation07/07/2016 11:31:00 AM
Update time03/15/2023 12:33:07 AM
Status update03/15/2023 12:33:06 AM
Last indexation01/16/2024 9:18:08 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack