The Renyi entropy H_2 as a rigorous, measurable lower bound for the entropy of the interaction region in multiparticle production processes

A model-independent lower bound on the entropy S of the multiparticle system produced in high energy collisions, provided by the Renyi entropy H_2, is shown to be very effective. Estimates show that the ratio H_2/S remains close to one half for all realistic values of the parameters.Comment: Eur. Phys. J. C in print, 17 pages, 5 figure

Moments of Wigner function and Renyi entropies at freeze-out

Relation between Renyi entropies and moments of the Wigner function, representing the quantum mechanical description of the M-particle semi-inclusive distribution at freeze-out, is investigated. It is shown that in the limit of infinite volume of the system, the classical and quantum descriptions are equivalent. Finite volume corrections are derived and shown to be small for systems encountered in relativistic heavy ion collisions.Comment: 15 pages, one figur

Screening Masses in Dimensionally Reduced (2+1)D Gauge Theory

We discuss the screening masses and residue factorisation of the SU(3) (2+1)D theory in the dimensional reduction formalism. The phase structure of the reduced model is also investigated.Comment: 3 pages, Lattice 2001(gaugetheories

Bose-Einstein correlations: a study of an invariance group

A group of transformations changing the phases of the single particle density matrix, but leaving unchanged the predictions for identical particles concerning the momentum distributions, momentum correlations etc., is identified. Its implications for the determinations of the interaction region from studies of Bose-Einstein correlations are discussed.Comment: 15 pages LateX + one figure ep

Coincidence probability as a measure of the average phase-space density at freeze-out

It is pointed out that the average semi-inclusive particle phase-space density at freeze-out can be determined from the coincidence probability of the events observed in multiparticle production. The method of measurement is described and its accuracy examined.Comment: LateX, 9 pages, no figure

Bose-Einstein condensation and independent production of pions

The influence of the HBT effect on the momentum spectra of independently produced pions is studied using the method developed earlier for discussion of multiplicity distributions. It is shown that in this case all the spectra and multiparticle correlation functions are expressible in terms of one function of two momenta. It is also shown that at the critical point all pions are attracted into one quantum state and thus form a Bose-Einstein condensate.Comment: 10 pages Latex, one figure as an EPS fil