Equivalence of partition functions for noncommutative U(1) gauge theory and its dual in phase space

Details Equivalence of partition functions for noncommutative U(1) gauge theory and its dual in phase space Equivalence of partition functions for noncommutative U(1) gauge theory and its dual in phase space

2004-07-30

arxiv.org/abs/hep-th/0407269v3

JHEP0411:064,2004

Physics

High Energy Physics

High Energy Physics - Theory

15 pages. Version to appear in JHEP

Scientific paper

10.1088/1126-6708/2004/11/064

Equivalence of partition functions for U(1) gauge theory and its dual in appropriate phase spaces is established in terms of constrained hamiltonian formalism of their parent action. Relations between the electric--magnetic duality transformation and the (S) duality transformation which inverts the strong coupling domains to the weak coupling domains of noncommutative U(1) gauge theory are discussed in terms of the lagrangian and the hamiltonian densities. The approach presented for the commutative case is utilized to demonstrate that noncommutative U(1) gauge theory and its dual possess the same partition function in their phase spaces at the first order in the noncommutativity parameter \theta .

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