The spin-spin correlation function in the two-dimensional Ising model in a magnetic field at T = Tc |
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| Affiliation: | 1. Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, UK;2. International School for Advanced Studies, and Istituto Nazionale di Fisica Nucleare, 34014 Trieste, Italy;1. Institute for Infrastructure Engineering, University of Western Sydney, Penrith, NSW 2751, Australia;2. Korea Atomic Energy Research Institute, Daejeon, South Korea;3. Department of Civil and Environmental Engineering, Yonsei University, Seoul 120-749, South Korea;1. Institut de Science des Matériaux de Mulhouse, UMR 7361 CNRS – UHA, 15 rue Jean Starcky, BP 2488, 68057 Mulhouse cedex, France;2. Institut UTINAM, UMR 6213 CNRS – Université de Franche-Comté, 16 Route de Gray, 25030 Besançon cedex, France;3. Institut National de la Santé et de la Recherche Médicale, U1121, 11 rue Humann, 67085 Strasbourg cedex, France;1. California State University, Los Angeles, University Dr., Los Angeles, CA 90032, USA;2. University of Connecticut, Storrs, CT 06269, USA;3. AlbaNova University Center Nordita, SE-106 91 Stockholm, Sweden |
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| Abstract: | The form-factor bootstrap approach is used to compute the exact contributions in the large-distance expansion of the correlation function 〈σ(x)σ(0)〉 of the two-dimensional Ising modeliin a magnetic field at T = Tc The matrix elements of the magnetization operator σ,(x) present a rich analytic structure induced by the (multi-)) scattering processes of the eight massive particles of the model. The spectral representation series has a fast rate of convergence and perfectly agrees with the numerical determination of the correlation function. |
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