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At large V the spectrum of single-particle states becomes a quasicontinuous one and The colourlessness partition function of the quantum quark-gluon gas. Formulae 5 and 8 give a formal solution of our problem. Enter the email address you signed up with and we’ll quaark you a reset link. But it was emphasized in ref.

First it generates the corrections in the thermodynamical quantities for finite systems. The hypothesis of colour confinement demands quaark realization of coloufless states singlets of the SU Nc group of a q u a r k – gluon system only. The character and even the possibility of a phase transition between the bag gas and the quark-gluon plasma is determined by these values.

Multiparticle states 1however, do not transform under the irreducible representation of the group G. Let foe suppose that single-particle states transform under a certain representation a of the internal symmetry group G. Substituting the explicit expressions of the characters we have for the exponential power in eq. Remember me on this computer.

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quark – quark user guide

But the most reliable results of these investigations concentrate mainly on limiting behaviour. We would like to note that the exponential power in eq.

Let us estimate values of the corrections 81 and 8 2 from the data of relativistic heavy ion collisions. References [ 1] W. The exciting prospect of discovering the observable signals of quark-gluon matter formation in heavy ion collisions has recently led to a comprehensive theoretical study of quark-gluon systems [1].

Clustering in many-quark systems: the two-nucleon problem – IOPscience

We argue here that the correct inclusion of colour quark-gluon degrees of freedom is important, too. The colourlessness constraint changes the values of the parameters 7 and 8 in eq. Marichev, Integrals and series Nauka, Moscow, Secondly and it is more essential the power corrections in the partition function 11 are equivalent to the power corrections in the state density “mass spectrum” of quark-gluon bags r m, o m is a mass of bag and o is its volume.

In particular, the starting point for many papers is the important result that a sufficiently hot or dense matter displays a simple thermodynamical behav- iour corresponding to an ideal quark-gluon gas.

The purpose of this note is to calculate the singlet partition func- tion of a quantum quark-gluon gas with the SU 3 colour group. The additional preexponential factor in eq. The idea of the abovementioned construction is to avoid dealing with the complicated sys- tem of state vectors by using a rather simple basis 1 to compute eq. As the complicated dynamical problem of confinement is not yet solved we must regard the colourless constraint of the allowed states of a quark-gluon system as a subsidiary requirement in describing the global thermodynamical equilibrium state [3].

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We have for eq. It was shown in ref. Then the problem under consideration is to calculate the partition function corresponding to the irreducible representation v, under which our quark-gluon system is transformed in what follows we are interested in a situ- ation where v is the singlet. To perform concrete calculations we need to have an explicit form of the invariant measure and the character of the fundamental quark representation of SU 3 group. Click here to sign up.

Clustering in many-quark systems: the two-nucleon problem

Help Center Find new research papers in: It makes it necessary to take consideration of both the higher order terms in the perturbative treatment of the quark-gluon gas and the nonperturbative effects [2]. The effect of this constraint on the thermodynamical properties of the systems is considered.

Gelobenko, Compact Lie groups and their representations Nauka, Moscow, In the general case G is a compact semi-simple n-parameter Lie group. Skip to main content.