Lipatov Pomeron and the Heisenberg chain
It is pointed out that the recently discovered analogy between the QCD description of the Pomeron exchange and the Heisenberg chain may allow to apply lattice techniques to the high energy phenomena.
arXiv subjects
Publications and source records attributed to J. Wosiek.
It is pointed out that the recently discovered analogy between the QCD description of the Pomeron exchange and the Heisenberg chain may allow to apply lattice techniques to the high energy phenomena.
Some modifications of the Luscher algorithm, which reduce the autocorelation time, are proposed and tested.
The analogy between the intermittency and scaling in statistical physics is extended to the case of more variables. It is shown that the inclusive densities predicted by the perturbative QCD obey generalized homogeneity principle which leads to many consequences in statistical physics. In particular the hyperscaling may be a prototype for the hyperintermittency in multiparticle production at high energies.
First applications of the new algorithm simulating dynamical fermions are reported. The method reproduces previous results obtained with different techniques.
A new method for locating analytically critical temperatures is discussed. It is exact for selfdual systems. When applied the two coupled layers of Ising spins it deviates from our preliminary Monte Carlo estimates by 1.5 standard deviations. It predicts critical temperature of the three dimensional Ising model in terms of the solution of the two layer Ising system.
We have found a simple criterion which allows for the straightforward determination of the order-disorder critical temperatures. The method reproduces exactly results known for the two dimensional Ising, Potts and $Z(N<5)$ models. It also works for the Ising model on the triangular lattice. For systems which are not selfdual our proposition remains an unproven conjecture. It predicts $β_c=0.2656...$ for the two coupled layers of Ising spins. Critical temperature of the three dimensional Ising model is related to the free energy of the two layer Ising system.
Finite size scaling is shown to work very well for the block variables used in intermittency studies on a 2-d Ising lattice. The intermittency exponents so derived exhibit the expected relations to the magnetic critical exponent of the model. Email contact: pesch@amoco.saclay.cea.fr