Spectral determinants for Schrödinger equation and Q-operators of conformal field theory

Vladimir V. Bazhanov; Sergei L. Lukyanov; Alexander B. Zamolodchikov

doi:10.1023/A:1004838616921

Spectral determinants for Schrödinger equation and Q-operators of conformal field theory

Vladimir V. Bazhanov^*, Sergei L. Lukyanov, Alexander B. Zamolodchikov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

167 Citations (Scopus)

Abstract

Relation between the vacuum eigenvalues of CFT Q-operators and spectral determinants of one-dimensional Schrödinger operator with homogeneous potential, recently conjectured by Dorey and Tateo for special value of Virasoro vacuum parameter p, is proven to hold, with suitable modification of the Schrödinger operator, for all values of p.

Original language	English
Pages (from-to)	567-576
Number of pages	10
Journal	Journal of Statistical Physics
Volume	102
Issue number	3-4
DOIs	https://doi.org/10.1023/A:1004838616921
Publication status	Published - Feb 2001

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@article{be00396b5f4149f99bd6bd2211e2699f,

title = "Spectral determinants for Schr{\"o}dinger equation and Q-operators of conformal field theory",

abstract = "Relation between the vacuum eigenvalues of CFT Q-operators and spectral determinants of one-dimensional Schr{\"o}dinger operator with homogeneous potential, recently conjectured by Dorey and Tateo for special value of Virasoro vacuum parameter p, is proven to hold, with suitable modification of the Schr{\"o}dinger operator, for all values of p.",

keywords = "Q-operators, Schr{\"o}dinger equation, Vacuum eigenvalues",

author = "Bazhanov, \{Vladimir V.\} and Lukyanov, \{Sergei L.\} and Zamolodchikov, \{Alexander B.\}",

year = "2001",

month = feb,

doi = "10.1023/A:1004838616921",

language = "English",

volume = "102",

pages = "567--576",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer",

number = "3-4",

}

TY - JOUR

T1 - Spectral determinants for Schrödinger equation and Q-operators of conformal field theory

AU - Bazhanov, Vladimir V.

AU - Lukyanov, Sergei L.

AU - Zamolodchikov, Alexander B.

PY - 2001/2

Y1 - 2001/2

N2 - Relation between the vacuum eigenvalues of CFT Q-operators and spectral determinants of one-dimensional Schrödinger operator with homogeneous potential, recently conjectured by Dorey and Tateo for special value of Virasoro vacuum parameter p, is proven to hold, with suitable modification of the Schrödinger operator, for all values of p.

AB - Relation between the vacuum eigenvalues of CFT Q-operators and spectral determinants of one-dimensional Schrödinger operator with homogeneous potential, recently conjectured by Dorey and Tateo for special value of Virasoro vacuum parameter p, is proven to hold, with suitable modification of the Schrödinger operator, for all values of p.

KW - Q-operators

KW - Schrödinger equation

KW - Vacuum eigenvalues

UR - https://www.scopus.com/pages/publications/0035534191

U2 - 10.1023/A:1004838616921

DO - 10.1023/A:1004838616921

M3 - Article

SN - 0022-4715

VL - 102

SP - 567

EP - 576

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3-4

ER -

Spectral determinants for Schrödinger equation and Q-operators of conformal field theory

Abstract

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