Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-06-08
Nucl.Phys. B560 (1999) 587-600
Physics
High Energy Physics
High Energy Physics - Theory
18 pages (LaTeX2e), 1 fig
Scientific paper
10.1016/S0550-3213(99)00460-5
A field theoretic description of monopole condensation in strongly coupled gauge theories is given by actions involving antisymmetric tensors B_{\mu\nu} of rank 2. We rederive the corresponding action for 4d compact QED, summing explicitly over all possible monopole configurations. Its gauge symmetries and Ward identities are discussed. Then we consider the Wilsonian RGs for Yang-Mills theories in the presence of collective fields (again tensors B_{\mu\nu}) for the field strengths F_{\mu \nu} associated to the U(1) subgroups. We show that a ``vector-like'' Ward identity for the Wilsonian action involving B_{\mu\nu}, whose validity corresponds to monopole condensation, constitutes a fixed point of the Wilsonian RG flow.
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