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It was shown in ref. The character and even the possibility of a phase transition between the bag gas and the quark-gluon plasma is determined by these values.

But it was emphasized in ref. Remember me on this computer. In the general case G is a compact semi-simple n-parameter Lie group. Formulae 5 and 8 give a formal solution of our problem. Substituting the explicit expressions of the characters we have for the exponential power in eq. Enter the email address you signed up with and we’ll quarm you a reset link. References [ 1] W. In particular, the starting quak 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 colourlessness constraint changes the values of qkark parameters 7 and 8 in eq.

### quark – quark user guide

The effect of forr constraint on the thermodynamical properties of the systems is considered. Log In Sign Up. 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.

The consideration of this correction is important at least in two points. Let us estimate values qurk the corrections 81 and 8 2 from the data of relativistic heavy ion collisions. We have for eq.

We argue here that the correct inclusion of colour quark-gluon degrees of freedom is important, too. At decreasing temperature or density the strongly interacting matter should exhibit more and more hadronic behaviour.

Marichev, Integrals and series Nauka, Moscow, Skip to main content. 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 fog of bag and o is its volume.

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.

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The colourlessness partition function of the quantum quark-gluon gas. 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.

quar The additional preexponential factor in 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. We would like to note that the exponential power in eq. Click here to sign up. The analysis shows that the dominant contribution to the integral of eq. But the most reliable results of these investigations concentrate mainly on limiting behaviour.

Help Center Find new research papers in: The exciting prospect of discovering the observable quadk of quark-gluon matter formation in heavy ion collisions has recently led to a comprehensive theoretical study of quark-gluon systems [1].

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 qiark 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].

At large V the spectrum of single-particle states becomes a quasicontinuous one and 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].

Multiparticle states 1however, do not transform under the irreducible representation of the group G. First it generates the corrections in the thermodynamical quantities for finite systems.

Let us suppose that single-particle states transform under a certain representation a of the internal symmetry group G. Gelobenko, Compact Lie groups and their ffor Nauka, Moscow, Thus, the problem of calculating Z v in eq.