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000307653 0881_ $$aDESY-16-100; arXiv:1606.02771
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000307653 088__ $$2arXiv$$aarXiv:1606.02771
000307653 1001_ $$0P:(DE-HGF)0$$aEcheverri, Alejandro Castedo$$b0
000307653 245__ $$aThe Effective Bootstrap
000307653 260__ $$c2016
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000307653 520__ $$aWe study the numerical bounds obtained using a conformal-bootstrap method - advocated in ref. [1] but never implemented so far - where different points in the plane of conformal cross ratios $z$ and $\bar z$ are sampled. In contrast to the most used method based on derivatives evaluated at the symmetric point $z=\bar z =1/2$, we can consistently 'integrate out' higher-dimensional operators and get a reduced simpler, and faster to solve, set of bootstrap equations. We test this 'effective' bootstrap by studying the 3D Ising and $O(n)$ vector models and bounds on generic 4D CFTs, for which extensive results are already available in the literature. We also determine the scaling dimensions of certain scalar operators in the $O(n)$ vector models, with $n=2,3,4$, which have not yet been computed using bootstrap techniques.
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000307653 536__ $$0G:(EU-Grant)267985$$aDAMESYFLA - Electroweak Symmetry Breaking, Flavor and DarkMatter: One Solution for Three Mysteries (267985)$$c267985$$fERC-2010-AdG_20100224$$x1
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000307653 7001_ $$0P:(DE-H253)PIP1027472$$avon Harling, Benedict$$b1$$eCorresponding author
000307653 7001_ $$0P:(DE-HGF)0$$aSerone, Marco$$b2
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