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Title of Journal: J. High Energ. Phys.

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Abbravation: Journal of High Energy Physics

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Springer Berlin Heidelberg

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Finite-volume spectra of the Lee-Yang model

Authors: Zoltan Bajnok, Omar el Deeb, Paul A. Pearce,

Publish Date: 2015/04/15
Volume: 2015, Issue:4, Pages: 73-
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We consider the non-unitary Lee-Yang minimal model \( \mathrm{\mathcal{M}}\left(2,\;5\right) \) in three different finite geometries: (i) on the interval with integrable boundary conditions labelled by the Kac labels (r, s) = (1, 1), (1, 2), (ii) on the circle with periodic boundary conditions and (iii) on the periodic circle including an integrable purely transmitting defect. We apply φ1,3 integrable perturbations on the boundary and on the defect and describe the flow of the spectrum. Adding a Φ1,3 integrable perturbation to move off-criticality in the bulk, we determine the finite size spectrum of the massive scattering theory in the three geometries via Thermodynamic Bethe Ansatz (TBA) equations. We derive these integral equations for all excitations by solving, in the continuum scaling limit, the TBA functional equations satisfied by the transfer matrices of the associated A4 RSOS lattice model of Forrester and Baxter in Regime III. The excitations are classified in terms of (m, n) systems. The excited state TBA equations agree with the previously conjectured equations in the boundary and periodic cases. In the defect case, new TBA equations confirm previously conjectured transmission factors.This article is published under an open access license. Please check the 'Copyright Information' section for details of this license and what re-use is permitted. If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and re-use information, please contact the Rights and Permissions team.



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Other Papers In This Journal:

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  5. Classification of effective operators for interactions between the Standard Model and dark matter
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  7. SUSY stops at a bump
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  10. Inclusive and exclusive observables from dipoles in high energy collisions
  11. Covariant quantum fields on noncommutative spacetimes
  12. The mass-hierarchy and CP-violation discovery reach of the LBNO long-baseline neutrino experiment
  13. The electroweak sector of the pMSSM in the light of LHC - 8 TeV and other data
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  17. Axino dark matter in moduli-induced baryogenesis
  18. The impact of non-minimally coupled gravity on vacuum stability
  19. Technicolor at criticality
  20. Noncritical Einstein-Weyl gravity and the AdS/CFT correspondence
  21. Non-Abelian chiral instabilities at high temperature on the lattice
  22. Soft triple-real radiation for Higgs production at N3LO
  23. Dark Higgs models at the 7 TeV LHC
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  31. Four-quark effective operators at hadron colliders
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  34. Mass effects in the Higgs-gluon coupling: boosted vs. off-shell production
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  38. Reference results for time-like evolution up to $$ \mathcal{O}\left({\alpha}_s^3\right) $$
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  71. Finite-volume spectra of the Lee-Yang model

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