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In the general case G is a compact semi-simple n-parameter Lie group.

The character and even the possibility of a phase transition between the bag gas and the quark-gluon plasma is determined by these values. Log In Sign Up. The consideration of this correction is important at least in two points. It was shown in ref. 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.

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Enter the email address you signed up with and we’ll email you a reset link. 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.

At large V the spectrum of single-particle states becomes a quasicontinuous one and Help Center Find new research papers in: At decreasing temperature or density the strongly interacting matter should exhibit more and more hadronic behaviour. The analysis shows that the dominant contribution to the integral of eq.

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]. The effect of this constraint on the thermodynamical properties of the systems is considered.

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. 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].

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

We would like to note that the exponential power in eq. The additional preexponential factor in eq. First it generates the corrections in the thermodynamical quantities for finite systems. Multiparticle states 1however, do not transform under the irreducible representation of the group G. Skip to main content.

Click here to sign up. Gelobenko, Compact Lie groups and their representations Nauka, Moscow, The hypothesis of colour confinement demands the realization of coloufless states singlets of the SU Nc group of a q u a r k – gluon system only.

But the most reliable results of these investigations concentrate mainly on limiting behaviour. 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.

The colourlessness partition function of the quantum quark-gluon gas. Remember me on this computer. Thus, the problem of calculating Z v in eq. The colourlessness constraint changes the values of the parameters 7 and 8 in eq.

References [ 1] W. Let us estimate values of the corrections 81 and 8 2 from the data of relativistic heavy ion collisions.

Marichev, Integrals and series Nauka, Moscow, Formulae 5 and 8 give a formal solution of our problem. Then the problem under consideration is to calculate quak 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.

### quark – quark user guide

But it was emphasized in ref. Let us suppose that single-particle states transform under kfr certain representation a of the internal symmetry group G. We argue here that the correct inclusion of colour quark-gluon degrees of freedom is important, too. We have for eq. 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. Substituting the explicit expressions of the characters we fof for the exponential power in eq.

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].