### Abstract

Studied is the Baxter equation for the quantum discrete Boussinesq equation. We explicitly construct the Baxter Q operator from a generating function of the local integrals of motion of the affine Toda lattice field theory, and show that it solves the third order operator-valued difference equation.

Original language | English |
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Pages (from-to) | 580-602 |

Number of pages | 23 |

Journal | Nuclear Physics B |

Volume | 604 |

Issue number | 3 |

DOIs | |

Publication status | Published - Jun 25 2001 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

**The Baxter equation for quantum discrete Boussinesq equation.** / Hikami, Kazuhiro.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 604, no. 3, pp. 580-602. https://doi.org/10.1016/S0550-3213(01)00204-8

}

TY - JOUR

T1 - The Baxter equation for quantum discrete Boussinesq equation

AU - Hikami, Kazuhiro

PY - 2001/6/25

Y1 - 2001/6/25

N2 - Studied is the Baxter equation for the quantum discrete Boussinesq equation. We explicitly construct the Baxter Q operator from a generating function of the local integrals of motion of the affine Toda lattice field theory, and show that it solves the third order operator-valued difference equation.

AB - Studied is the Baxter equation for the quantum discrete Boussinesq equation. We explicitly construct the Baxter Q operator from a generating function of the local integrals of motion of the affine Toda lattice field theory, and show that it solves the third order operator-valued difference equation.

UR - http://www.scopus.com/inward/record.url?scp=0042872470&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042872470&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(01)00204-8

DO - 10.1016/S0550-3213(01)00204-8

M3 - Article

AN - SCOPUS:0042872470

VL - 604

SP - 580

EP - 602

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -