Form factors of exponential operators and exact wave function renormalization constant in the Bullough-Dodd model |
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| Institution: | 1. Hooghly Mohsin College, Chinsurah, Hooghly-712101 West Bengal, India;2. Durgapur Government College, Durgapur, Burdwan - 713214, West Bengal, India;1. School of Physics, East China University of Science and Technology, Shanghai 200237, China;2. INPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China;3. Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 200240, China;4. Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, Jiangsu 210023, China |
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| Abstract: | We compute the form factors of exponential operators ekg?(x) in the two-dimensional integrable Bullough-Dodd model (a2(2) affine Toda field theory). These form factors are selected among the solutions of general non-derivative scalar operators by their asymptotic cluster property. Through analytical continuation to complex values of the coupling constant these solutions permit to compute the form factors of scaling relevant primary fields in the lightest-breather sector of integrable /gf1,2 and /gf1,5 deformations of conformal minimal models. We also obtain the exact wave-function renormalization constant Z(g) of the model and the properly normalized form factors of the operators ?(x) and : ?2(x) :. |
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