Finite volume form factors in integrable theories
arXiv:2304.09135 · doi:10.1007/JHEP02(2024)083
Abstract
We develop a new method to calculate finite size corrections for form factors in two-dimensional integrable quantum field theories. We extract these corrections from the excited state expectation value of bilocal operators in the limit when the operators are far apart. We elaborate the finite size effects explicitly up to the 3rd Lüscher order and conjecture the structure of the general form. We also fully recover the explicitly known massive fermion finite volume form factors.
arXiv comment39 pages, 9 figures. In this corrected manuscript, we clarified the text at multiple points and added a separate section (5) containing the definition of the connected form factors and a derivation of the graph rules for their evaluation. We also added a short section (6) about how our calculation can be extended from a one-particle state to multiparticle states
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