منابع مشابه
The Elekes-Szabó Theorem in four dimensions
Let F ∈ C[x, y, s, t] be an irreducible constant-degree polynomial, and let A,B,C,D ⊂ C be finite sets of size n. We show that F vanishes on at most O(n8/3) points of the Cartesian product A × B × C × D, unless F has a special group-related form. A similar statement holds for A,B,C,D of unequal sizes, with a suitably modified bound on the number of zeros. This is a fourdimensional extension of ...
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Several pieces of evidence have been recently brought up in favour of the c-theorem in four and higher dimensions, but a solid proof is still lacking. We present two basic results which could be useful for this search: i) the values of the putative c-number for free field theories in any even dimension, which illustrate some properties of this number; ii) the general form of three-point functio...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1991
ISSN: 0370-2693
DOI: 10.1016/0370-2693(91)91736-f