Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-02-13
J.Phys.A36:6635-6650,2003
Physics
High Energy Physics
High Energy Physics - Theory
references added, abstract modified. To appear in J. Phys. A: 20 pages, latex, 1 figure
Scientific paper
10.1088/0305-4470/36/24/303
We study free massive fermionic ghosts, in the presence of an extended line of impurities, relying on the Lagrangian formalism. We propose two distinct defect interactions, respectively, of relevant and marginal nature. The corresponding scattering theories reveal the occurrence of resonances and instabilities in the former case and the presence of poles with imaginary residues in the latter. Correlation functions of the thermal and disorder operators are computed exactly, exploiting the bulk form factors and the matrix elements relative to the defect operator. In the marginal situation, the one-point function of the disorder operator displays a critical exponent continuously varying with the interaction strength.
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