Conformal scalar field on the hyperelliptic curve and critical Ashkin-Teller multipoint correlation functions

Al B. Zamolodchikov

doi:10.1016/0550-3213(87)90350-6

Conformal scalar field on the hyperelliptic curve and critical Ashkin-Teller multipoint correlation functions

Al B. Zamolodchikov

Institute for Theoretical Physics

Stony Brook University

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

133 Scopus citations

Abstract

A multipoint conformal block of Ramond states of the two-dimensional free scalar field is calculated. This function is related to the free energy of the scalar field on the hyperelliptic Riemann surface under a particular choice of boundary conditions. Being compactified on the circle this field leads to the crossing symmetric correlation functions with a discrete spectrum of scale dimensions. These functions are supposed to describe multipoint spin correlations of the critical Ashkin-Teller model.

Original language	English
Pages (from-to)	481-503
Number of pages	23
Journal	Nuclear Physics, Section B
Volume	285
Issue number	C
DOIs	https://doi.org/10.1016/0550-3213(87)90350-6
State	Published - 1987

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title = "Conformal scalar field on the hyperelliptic curve and critical Ashkin-Teller multipoint correlation functions",

abstract = "A multipoint conformal block of Ramond states of the two-dimensional free scalar field is calculated. This function is related to the free energy of the scalar field on the hyperelliptic Riemann surface under a particular choice of boundary conditions. Being compactified on the circle this field leads to the crossing symmetric correlation functions with a discrete spectrum of scale dimensions. These functions are supposed to describe multipoint spin correlations of the critical Ashkin-Teller model.",

author = "Zamolodchikov, \{Al B.\}",

year = "1987",

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T1 - Conformal scalar field on the hyperelliptic curve and critical Ashkin-Teller multipoint correlation functions

AU - Zamolodchikov, Al B.

PY - 1987

Y1 - 1987

N2 - A multipoint conformal block of Ramond states of the two-dimensional free scalar field is calculated. This function is related to the free energy of the scalar field on the hyperelliptic Riemann surface under a particular choice of boundary conditions. Being compactified on the circle this field leads to the crossing symmetric correlation functions with a discrete spectrum of scale dimensions. These functions are supposed to describe multipoint spin correlations of the critical Ashkin-Teller model.

AB - A multipoint conformal block of Ramond states of the two-dimensional free scalar field is calculated. This function is related to the free energy of the scalar field on the hyperelliptic Riemann surface under a particular choice of boundary conditions. Being compactified on the circle this field leads to the crossing symmetric correlation functions with a discrete spectrum of scale dimensions. These functions are supposed to describe multipoint spin correlations of the critical Ashkin-Teller model.

UR - https://www.scopus.com/pages/publications/0000715705

U2 - 10.1016/0550-3213(87)90350-6

DO - 10.1016/0550-3213(87)90350-6

M3 - Article

SN - 0550-3213

VL - 285

SP - 481

EP - 503

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - C

ER -

Conformal scalar field on the hyperelliptic curve and critical Ashkin-Teller multipoint correlation functions

Abstract

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