G.P. Korchemsky, Nucl. Phys. B498 (1997), 68; Preprint LPTHE-ORSAY-97-62 (hepph /9801377). Home/Search Document Not in Database Summary Related Articles |
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Integrability of three-particle evolution equations in QCD - Braun Nordita (Correct)
....of interacting reggeized gluons in QCD, but is obtained in a different physical context. In particular, the ERBL evolution equation for spin 3 2 baryon operators appears to be mathematically equivalent to the equation for the odderon trajectory, and the results obtained in the latter context [7,8] can be adapted to unravel the spectrum of baryon operators. Extending this result, we prove integrability of the RG equations for twist 3 quark gluon operators S Sigma (a; b; c) q(au) iG (bu) Sigma G (bu)fl 5 ]u u q(cu) 2) T (a; b; c) q(au)u u oe ae G ae ....
....L 12 ] and, consequently, Q T ; H T ] 0. The proof for S operator is analogous. Once conserved charges are known, one can consider the eigenvalue problem for these charges instead of the Hamiltonians, which is simpler. For the Heisenberg spin chain, a detailed study exists due to Korchemsky [7,8]. The spectrum of Q 3=2 is shown in Fig. 1a. For generic integer N there exist N 1 eigenvalues which come in pairs Sigmaq. Note that for even N Q 3=2 has zero eigenvalue q = 0. The corresponding value of energy can be calculated exactly: E 3=2 (N; q = 0) 4 (N 3) 4fl E Gamma 6; 19) see ....
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G.P. Korchemsky, Nucl. Phys. B498 (1997), 68; Preprint LPTHE-ORSAY-97-62 (hepph /9801377).
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