Scaling Lee-Yang Model on a Sphere I. Partition Function | Zendy

A. B. Zamolodchikov | Zendy

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Scaling Lee-Yang Model on a Sphere I. Partition Function

Author(s) -

A. B. Zamolodchikov

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/07/029

Subject(s) - scaling , conformal map , partition function (quantum field theory) , mathematical physics , physics , coupling constant , mathematics , conformal symmetry , perturbation theory (quantum mechanics) , perturbation (astronomy) , mathematical analysis , quantum mechanics , geometry

Some general properties of perturbed (rational) CFT in the background metricof symmetric 2D sphere of radius $R$ are discussed, including conformalperturbation theory for the partition function and the large $R$ asymptotic.The truncated conformal space scheme is adopted to treat numerically perturbedrational CFT's in the spherical background. Numerical results obtained for thescaling Lee-Yang model lead to the conclusion that the partition function is anentire function of the coupling constant. Exploiting this analytic structure weare able to describe rather precisely the ``experimental'' truncated spacedata, including even the large $R$ behavior, starting only with the CFTinformation and few first terms of conformal perturbation theory.Comment: Extended version of a talk presented at the NATO Advanced Research Workshop on Statistical Field Theories, Como 18--23 June 200

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