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25 April 2024
 
  » arxiv » 1106.4758

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Form factors in the Bullough-Dodd related models: The Ising model in a magnetic field
Oleg Alekseev ;
Date 23 Jun 2011
AbstractIn the framework of the free field representation we obtain exact form factors of the exponential operators in the Bullough-Dodd model. We propose explicit recurrence relations between them and prove reflection relations of the exponential operators. These form factors are shown to be related with the lightest breathers form factors of the primary operators in the minimal models perturbed by the operator $Phi_{1,2}$. We consider the Ising model in a magnetic field in detail. The explicit recurrence relation allows us to calculate the multi-particle form factors of the spin and the energy density operators which involve the lightest particles only. We present their explicit expressions up to four-particle form factors.
Source arXiv, 1106.4758
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