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Boundary massive sine-Gordon model at the free Fermi limit and RG flow of Casimir energy

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arxiv hep-th/0405162 v1 pith:HL5Z44QF submitted 2004-05-19 hep-th

Boundary massive sine-Gordon model at the free Fermi limit and RG flow of Casimir energy

classification hep-th
keywords boundaryfermiflowfreelimitmodelparametersine-gordon
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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RG flow of central charge $c_{\rm eff}$ is investigated for the two boundary sine-Gordon model at the free Fermi limit. Thermodynamic Bethe ansatz approach is used to check the non-monotonic decreasing properties of $c_{\rm eff}$, its resonance, and the modification of $c_{\rm eff}$ due to the mismatch of the periodicity of a Lagrangian parameter and that of the boundary scattering parameter. The detailed analysis uses the singularity structure of the system on the complex rapidity plane.

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