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Multiparticle states 1however, do not transform under the irreducible representation of the group G.

The idea of the abovementioned construction auark to avoid dealing with the complicated sys- tem of state vectors by using a rather simple basis 1 quak compute eq. But it was emphasized in ref. 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.

Gelobenko, Compact Lie groups and their representations Nauka, Moscow, Thus, the problem of calculating Z v in eq. 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 purpose of this note is to calculate the singlet partition func- tion of a quantum quark-gluon gas with the SU 3 kttr group. In the general case G is a compact semi-simple n-parameter Lie group. Remember me on this computer. The character and even the possibility of a phase transition between the bag gas and the quark-gluon plasma is determined by these values.


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

The effect of this constraint on the thermodynamical properties of the systems is considered. Let us suppose that single-particle states transform under a certain representation a of the internal symmetry group G.

It was shown in ref. Formulae 5 otr 8 give a formal solution of our problem. We argue here that the correct inclusion of colour quark-gluon degrees of freedom is important, kr. The colourlessness constraint changes the values of the parameters 7 and 8 in eq.

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

First it generates the corrections in the thermodynamical quantities for finite systems. Substituting the explicit expressions of the quar we have for the exponential power in eq. Skip to main content.

The analysis shows that the dominant contribution to the integral of eq. The colourlessness partition function of the quantum quark-gluon gas. The consideration of this correction is important at least in two points. The additional quakr factor in eq. We would like to note that the exponential power in eq.

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Marichev, Integrals and series Nauka, Moscow, We have for eq. 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.

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


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But the most reliable results of these investigations concentrate mainly on limiting behaviour. The exciting prospect of ktd 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].

Let us estimate values of the corrections 81 and 8 2 from the data of relativistic heavy ion collisions.

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].

Enter the email address you signed up with and we’ll email you a reset link. At decreasing temperature or density the strongly interacting matter should exhibit more and more hadronic behaviour. As the complicated dynamical problem of confinement is not yet solved we must regard the colourless constraint of the kfr states of a quark-gluon system as a subsidiary requirement in describing the global thermodynamical equilibrium state [3].

References [ 1] W. Secondly and it is more essential the power corrections in the partition function 11 are equivalent quaek 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. Log In Sign Up.