A Regge Theory vs Lattice QCD: Understanding Difficulties

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It is very difficult for me to understand that a theory based only in "very logical" and "common sense" assumptions (S-Matrix theory, prestring era) makes (some) valid predictions in non-p QCD, while lattice QCD does not. Could the experts comment on this subjet?

P.S.: Not interested in string theory
 
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Why do you say lattice QCD is not making valid predictions? Could you make the problem more specific?
 
As far as I can tell, this review is not talking about lattice QCD at all (I searched the pdf for "lattice" and skimmed the contents)? Can you point to a specific paragraph or plot you are talking about?
 
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I'm following this paper by Kitaev on SL(2,R) representations and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \langle f_s | f_{s'} \rangle = \int_{0}^{1} \frac{2}{(1-u)^2} f_s(u)^* f_{s'}(u) \, du. \tag{67} The singular contribution of the integral arises at the endpoint u=1 of the integral, and in the limit u \to 1, the function f_s(u) takes on the form f_s(u) \approx a_s (1-u)^{1/2 + i s} + a_s^* (1-u)^{1/2 - i s}. \tag{70}...
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