Physical Interpretation of the Multiparticle Generating Functional and Partition Function

Blankenbecler, R.

doi:10.1103/physrevd.8.1611

Cited by 3 publications

(5 citation statements)

References 14 publications

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“…The problem becomes even more intriguing if an analogy with statistical mechanics is invoked (see, e.g. [16,130]). In this case z is interpreted as fugacity, and G(y, z) and G tr (y, z) play the roles of the canonical and grand canonical partition functions, respectively.…”

Section: Singularities Of the Generating Functionsmentioning

confidence: 99%

Hadron multiplicities

2001

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We review results on hadron multiplicities in high energy particle collisions. Both theory and experiment are discussed. The general procedures used to describe particle multiplicity in Quantum Chromodynamics (QCD) are summarized. The QCD equations for the generating functions of the multiplicity distributions are presented both for fixed and running coupling strengths. The mean multiplicities of gluon and quark jets, their ratio, higher moments, and the slopes of multiplicities as a function of energy scale, are among the main global features of multiplicity for which QCD results exist. Recent data from high energy e + e − experiments, including results for separated quark and gluon jets, allow rather direct tests of these results. The theoretical predictions are generally quite successful when confronted with data. Jet and subjet multiplicities are described. Multiplicity in limited regions of phase space is discussed in the context of intermittency and fractality. The problem of singularities in the generating functions is formulated. Some special features of average multiplicities in heavy quark jets are described.

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Section: Singularities Of the Generating Functionsmentioning

confidence: 99%

Hadron multiplicities

2001

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“…We recall that this Poisson-type distribution is adequate to account for the negative multiplicity of pp interactions at Plab = 12 to 303 GevJ2] and that the properties of this distribution have been investigated by Blankenbecler.l 6 ] Now, as mentioned above, Giovannini and Van Hove have painted out that the NB distribution (1) and the Poisson-type distribution (5) satisfy the same recurrence relation (6) and that these parameters are related as follows…”

Section: The Poisson-type Distributioomentioning

confidence: 98%

“…It is a remarkable case that two different distributions (1) and (5) describe the same Markov process governed by the recurrence relation (6). We propose to 'investigate the behavior of the relations, Eqs.…”

Section: _2mentioning

confidence: 99%

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Poisson-type multiplicity distribution and the Giovannini-Van Hove model

Hoang¹,

Cork

1987

Z. Phys. C - Particles and Fields

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“…We find convenient to make use of the generating functional formalism to deal with this kind of problems [4,5,6]. Let W n (ξ 1 , .…”

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confidence: 99%

Self-similarity of the negative binomial multiplicity distributions

Treleani

1998

Phys. Rev. D

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The negative binomial distribution is self similar: If the spectrum over the whole rapidity range gives rise to a negative binomial, in absence of correlation and if the source is unique, also a partial range in rapidity gives rise to the same distribution. The property is not seen in experimental data, which are rather consistent with the presence of a number of independent sources. When multiplicities are very large self similarity might be used to isolate individual sources is a complex production process.

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Physical Interpretation of the Multiparticle Generating Functional and Partition Function

Cited by 3 publications

References 14 publications

Hadron multiplicities

Hadron multiplicities

Poisson-type multiplicity distribution and the Giovannini-Van Hove model

Self-similarity of the negative binomial multiplicity distributions

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