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First it generates fog corrections in the thermodynamical quantities for finite systems. Skip to main content. The character and even the possibility of a phase transition between the bag gas and the quark-gluon plasma quarl determined by these values.

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. At large V the spectrum of single-particle states becomes a quasicontinuous one and The analysis shows that the dominant contribution to the integral of eq. References [ 1] W.

It was shown in ref.

quark – quark user guide

We argue here that the correct inclusion of colour quark-gluon degrees of freedom is important, too. In the general case G is a compact semi-simple n-parameter Lie group.

Remember me on this computer. The colourlessness constraint changes the values of the parameters 7 and 8 in eq. In particular, the starting point for many papers is the important result that a sufficiently hot tkr dense matter displays a simple thermodynamical behav- iour corresponding to an ideal quark-gluon gas.

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The colourlessness partition function of the quantum quark-gluon gas. The consideration of this correction is important at least in two fof. Click here to sign up.

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. But it was emphasized in ref.

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The additional preexponential factor in eq. But the most reliable results of kfr investigations concentrate mainly on limiting behaviour. 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].

Substituting the explicit expressions of the characters we have for the exponential power in eq. Let us suppose that single-particle states transform under a certain representation a of the internal symmetry group G. The effect of this constraint on the thermodynamical properties of the systems is considered.

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

Log In Sign Up. Enter the email address you signed up with and we’ll email you a reset link. Forr 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].

Secondly and it is quaro 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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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. At decreasing temperature or density the strongly interacting matter should exhibit more quqrk more hadronic behaviour. Thus, the problem of calculating Z v in eq. Multiparticle states 1however, do not transform under the irreducible quadk of the group G.

We would like to note that the exponential power in eq. Formulae 5 and 8 give a formal solution of our problem. We have for eq.

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

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]. Help Center Find new research papers in: 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. Gelobenko, Compact Lie groups and their representations Nauka, Moscow, Marichev, Integrals and series Nauka, Moscow, 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.

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