2014
DOI: 10.1016/j.nuclphysb.2014.03.010
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Finite volume form factors in the presence of integrable defects

Abstract: We developed the theory of finite volume form factors in the presence of integrable defects. These finite volume form factors are expressed in terms of the infinite volume form factors and the finite volume density of states and incorporate all polynomial corrections in the inverse of the volume. We tested our results, in the defect Lee-Yang model, against numerical data obtained by truncated conformal space approach (TCSA), which we improved by renormalization group methods adopted to the defect case. To perf… Show more

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Cited by 10 publications
(10 citation statements)
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“…Besides further applications to two-point functions in condensed matter systems [25,26], the finite volume form factor formalism have found numerous other applications, in computing one-point functions in the presence of boundaries [27], in the study of quantum quenches in field theories [28,29,30], and in the context of holographic duality [31,32]. They also provide a useful tool for testing exact form factor solutions obtained from the form factor bootstrap, recently in the boundary [33] and defect [34] settings.…”
Section: Introductionmentioning
confidence: 99%
“…Besides further applications to two-point functions in condensed matter systems [25,26], the finite volume form factor formalism have found numerous other applications, in computing one-point functions in the presence of boundaries [27], in the study of quantum quenches in field theories [28,29,30], and in the context of holographic duality [31,32]. They also provide a useful tool for testing exact form factor solutions obtained from the form factor bootstrap, recently in the boundary [33] and defect [34] settings.…”
Section: Introductionmentioning
confidence: 99%
“…Although obtaining the result for generic volume/temperature might be quite challenging, a systematic low temperature/large volume expansion for the bulk case should be within reach following similar ideas proposed in [51][52][53]. The generalization to the defect case is also known [54].…”
Section: Discussionmentioning
confidence: 90%
“…The lattice description of the simplest integrable scattering theory enables the determination of the spectrum. However, this framework also establishes a solid starting point for investigating other interesting and relevant physical quantities such as vacuum expectation values and form factors, for which results from the bootstrap approaches are available [57,58]. Conceivably, this approach could also give insight into the calculation of correlations functions.…”
Section: Discussionmentioning
confidence: 95%