### 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 perform these checks we determined the infinite volume defect form factors in the Lee-Yang model exactly, including their vacuum expectation values. We used these data to calculate the two point functions, which we compared, at short distance, to defect CFT. We also derived explicit expressions for the exact finite volume one point functions, which we checked numerically. In all of these comparisons excellent agreement was found.

Original language | English |
---|---|

Pages (from-to) | 501-531 |

Number of pages | 31 |

Journal | Nuclear Physics B |

Volume | 882 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2014 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*882*(1), 501-531. https://doi.org/10.1016/j.nuclphysb.2014.03.010

**Finite volume form factors in the presence of integrable defects.** / Bajnok, Z.; Buccheri, F.; Hollo, L.; Konczer, J.; Takács, G.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 882, no. 1, pp. 501-531. https://doi.org/10.1016/j.nuclphysb.2014.03.010

}

TY - JOUR

T1 - Finite volume form factors in the presence of integrable defects

AU - Bajnok, Z.

AU - Buccheri, F.

AU - Hollo, L.

AU - Konczer, J.

AU - Takács, G.

PY - 2014

Y1 - 2014

N2 - 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 perform these checks we determined the infinite volume defect form factors in the Lee-Yang model exactly, including their vacuum expectation values. We used these data to calculate the two point functions, which we compared, at short distance, to defect CFT. We also derived explicit expressions for the exact finite volume one point functions, which we checked numerically. In all of these comparisons excellent agreement was found.

AB - 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 perform these checks we determined the infinite volume defect form factors in the Lee-Yang model exactly, including their vacuum expectation values. We used these data to calculate the two point functions, which we compared, at short distance, to defect CFT. We also derived explicit expressions for the exact finite volume one point functions, which we checked numerically. In all of these comparisons excellent agreement was found.

UR - http://www.scopus.com/inward/record.url?scp=84897418632&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84897418632&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2014.03.010

DO - 10.1016/j.nuclphysb.2014.03.010

M3 - Article

AN - SCOPUS:84897418632

VL - 882

SP - 501

EP - 531

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1

ER -