A semidefinite program solver for the conformal bootstrap

被引：286
作者：
Simmons-Duffin, David [1 ]
机构：
[1] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 06期
关键词：
Conformal and W Symmetry; Field Theories in Lower Dimensions; INTERIOR-POINT METHODS; FREE VARIABLES; IMPLEMENTATION;
D O I：
10.1007/JHEP06(2015)174
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We introduce SDPB: an open-source, parallelized, arbitrary-precision semidefinite program solver, designed for the conformal bootstrap. SDPB significantly outperforms less specialized solvers and should enable many new computations. As an example application, we compute a new rigorous high-precision bound on operator dimensions in the 3d Ising CFT, Delta(sigma) = 0.518151(6), Delta(epsilon) = 1.41264(6).
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页数：31
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