A0 condensate in high-temperature phase of lattice QCD

Borisenko, O.; Petrov, V. K.; Zinovjev, G. M.

doi:10.1016/0370-2693(91)90722-3

Cited by 10 publications

(16 citation statements)

References 14 publications

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“…At present, there are a number of such formulations in the literature [6,7,9,10,17]. Here, for completeness we are going to discuss briefly the methods and results obtained in there.…”

Section: Discussionmentioning

confidence: 96%

“…Under such an assumption the obtained result is the strict one. However, we would like to note that the formulations of [7,17] are close to each other and, in particular, if one puts the measure determinant to be unity in the lattice approach, the result A , = O will also be determined. But in the analytic lattice calculations it is impossible to obtain the measure determinant to be unity and so Ao#O has been found.4…”

Section: Discussionmentioning

confidence: 98%

“…So, a good chance for the determination of the gluon condensation in this order has appeared [lo]. Now let us discuss the results of [7,17]. In the first of them using the Hamiltonian lattice formulation of QCD the conclusion Ao#O 31n this approach, for example, the gauge independence of hard thermal loops and plasma dispersion relations have been established [13].…”

Section: Discussionmentioning

confidence: 98%

“…As a summary of the described gauge-invariant calculations [6,7,10,17] we would like to emphasize that it is difficult to make a final conclusion about the gauge-field generation and to solve this problem some additional (maybe the most complicated) calculations should be fulfilled. The same remark should also be addressed to the method based on the Nielsen identities approach where the higher-loop contributions must be taken into consideration.…”

Section: Discussionmentioning

confidence: 99%

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Nielsen’s identity and gluon condensation at finite temperature

1994

Phys. Rev. D

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The problem of the gauge dependence of the zero gauge field component condensate, A,=const, is investigated in finite temperature SU(3) gluodynamics. The two-loop effective action W ( A o , f ) is recalculated in the background R gauge. The obtained result somewhat differs from that of other authors. By straightforward calculation it is shown that the two-loop effective action W ( A o , 0 satisfies the generalized Nielsen (Ward-type) identity and has a nontrivial minimum. Hence, gauge invariance of the gluon condensation phenomenon is derived. A comparison with Belyaev's method and results are also discussed.PACS numbeds): 12.38.Mh, 12.38.B~

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“…At present, there are a number of such formulations in the literature [6,7,9,10,17]. Here, for completeness we are going to discuss briefly the methods and results obtained in there.…”

Section: Discussionmentioning

confidence: 96%

Section: Discussionmentioning

confidence: 98%

Section: Discussionmentioning

confidence: 98%

Section: Discussionmentioning

confidence: 99%

See 2 more Smart Citations

Nielsen’s identity and gluon condensation at finite temperature

1994

Phys. Rev. D

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“…The calculation both of the condensate and the Polyakov loop has a long history. The early calculations of the condensate [2][3][4][5][6][7] and the eigen values [8][9][10] had been reviewed in [11]. The role of the invariant measure in the generation of the condensate and the eigenvalues was investigated in detail in [12].…”

Section: Introductionmentioning

confidence: 99%

Polyakov loop eigenvalues in the presence of baryon chemical potential

2020

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The eigenvalues of the Polyakov loop are calculated in the strong coupled lattice QCD at finite temperature. This is done both in the pure gauge theory and in the theory with heavy quarks at finite baryon chemical potential. Computations are performed in the meanfield like approach to the effective action. Using the eigenvalues obtained we also evaluate the free energy, real and imaginary parts of the Polyakov loops and the baryon density. The phase diagram of the model and influence of the baryon chemical potential are discussed in details. We underline a similarity between our calculations and continuum derivations of the phenomenon of A0 condensation.

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A0 Condensate in QCD

1995

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A survey devoted to A,-condensate in gauge theories at high temperature is presented. Both theoretical foundations of the spontaneously generated condensate and known methods of its calculation are discussed. As the most important consequence, the S U ( N ) global symmetry breakdown is investigated in detail. The influence of A , on matter fields is studied in different aspects. Some new results concerning this subject are reported as well. 0. A. BORISENKO et al., A, Condensate in QCD know, there is no (mathematically) strict proof at the present time that the A,-condensate must disappear at high temperature. Nevertheless, we believe that calculation of the ( A , ) by different methods and, on the other hand, the derivation of the most significant consequences of such a condensate on multi-particle systems make our attempt quite justified. Besides, the appearance of the A,-condensate and the breakdown of global gauge symmetry can undoubtedly lead to significant improvement of our conception both of the high temperature behaviour of the strongly interacting matter and of the physics of gauge theories on the whole and surely have a connection to other problems currently under investigation (as, for instance, the infrared problem, the behaviour of quarks at non-zero baryonic number, etc.). All these questions will be considered in the paper.Let us begin with a comprehensive consideration of some known facts obtained from the studies of QCD. The Hamiltonian can be formally written as a sum of chromoelectric and chromomagnetic terms and has the following form in lattice version of the theory At finite temperature the behaviour of chromoelectric fields has been well studied both in the perturbative (in gz) region and especially in the non-perturbative one. As is generally known, in the strong coupling approximation the main contribution to the partition function results from the chromoelectric part in Eq. (l), because the chromomagnetic term, being proportional to g -2 , can be treated perturbatively in T . At high temperature, because of periodic boundary conditions, the gauge field configurations known as Polyakov loops develop a non-vanishing expectation value, which breaks global 2, symmetry ( Z ( N ) g l ) of the initial QCD-action and leads to deconfinement. As the Polyakov loops transform non-trivially under Z (Ql rotations, their non-zero expectation value could mean screening of Z(N)-charges (or static quarks) at T > zD (where KD is the critical temperature of the deconfinement phase transition). If this is the case, one may claim that there exists a physical quantity which characterizes the phenomenon of screening. This quantity is called the Debye mass and is defined in the continuum as the zero momentum limit of the time component of the vacuum polarization tensor, 1 g rni(T)= -II,,(L* 0, k,=0).(2)This definition gives a gauge invariant value for SU(N,) gauge theory with Nf massless fermions only in the lowest non-trivial order of the weak-coupling expansionThe calculation of no,, Eq.(2), in the two-loop ap...

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A0 condensate in high-temperature phase of lattice QCD

Cited by 10 publications

References 14 publications

Nielsen’s identity and gluon condensation at finite temperature

Nielsen’s identity and gluon condensation at finite temperature

Polyakov loop eigenvalues in the presence of baryon chemical potential

A0 Condensate in QCD

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