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Finite volume form factors in integrable theories

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arxiv 2304.09135 v2 pith:DHQSP5AR submitted 2023-04-18 hep-th

classification hep-th
keywords finiteformfactorscorrectionsexplicitlyintegrableoperatorssize
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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 L\"uscher order and conjecture the structure of the general form. We also fully recover the explicitly known massive fermion finite volume form factors.

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  1. Particles in finite volumes and a toy model of decaying neutrons

    hep-ph 2025-04 reject novelty 4.0 of 10

    A toy scalar model of neutron decay suggests finite-volume effects and initial neutron-daughter correlations can shift the predicted neutron lifetime to about 887 seconds, but the agreement is obtained by tuning a parameter.

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