Nonlinear dynamics of soft fermion excitations in hot QCD plasma I: Soft-quark–soft-gluon scattering

Markov, Yu. G.; Markova, M. A.

doi:10.1016/j.nuclphysa.2006.02.008

Cited by 8 publications

(31 citation statements)

References 37 publications

(63 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here we use a simpler approach to calculation of effective currents and sources suggested in our previous works [1,6,8,9]. It is based on the fact that by virtue of the structure of the right-hand sides of Eqs.…”

Section: Soft-field Equationsmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear dynamics of soft fermion excitations in hot QCD plasma II: Soft-quark–hard-particle scattering and energy losses

Markov

Markova

2007

Nuclear Physics A

Self Cite

View full text Add to dashboard Cite

In general line with our first work [Yu.A. Markov, M.A. Markova, Nucl. Phys. A 770 (2006) 162] within the framework of semiclassical approximation a general theory for the scattering processes of soft (anti)quark excitations off hard thermal particles in hot QCD-medium is thoroughly considered. The dynamical equations describing evolution for the usual classical color charge Q a (t) and Grassmann color charges θ i (t), θ †i (t) of hard particle taking into account the soft fermion degree of freedom of the system are suggested. On the basis of these equations and the Blaizot-Iancu equations iterative procedure of calculation of effective currents and sources generating the scattering processes under consideration is defined and their form up to third order in powers of free soft quark field, soft gluon one, and initial values of the color charges of hard particle is explicitly calculated. With use of the generalized Tsytovich principle a connection between matrix elements of the scattering processes and the effective currents and sources is established. In the context of the effective theory suggested for soft and hard fermion excitations new mechanisms of energy losses of high-energy parton propagating through QCD-medium are considered.

show abstract

Section: Soft-field Equationsmentioning

confidence: 99%

“…There are additional contributions to all HTL-induced sources: η (1,1) (A, ψ), η (2,1) (A, A, ψ) and so on. The last term on the right-hand side of Eq.…”

Section: Additional Color Currents and Sourcesmentioning

confidence: 99%

Nonlinear dynamics of soft fermion excitations in hot QCD plasma II: Soft-quark–hard-particle scattering and energy losses

Markov

Markova

2007

Nuclear Physics A

Self Cite

View full text Add to dashboard Cite

show abstract

“…In the opposite case, we get the incorrect signs of different terms in these probabilities resulting in violation of gauge symmetry. This was shown by straightfor-ward calculations for the scattering processes with soft fermion excitations only [11,12] as well as for the scattering processes with hard particles [4,5].…”

Section: Introductionmentioning

confidence: 77%

The equations of motion for a classical color particle in background non-Abelian bosonic and fermionic fields

Markov¹,

Markova²,

Shishmarev³

2010

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

Based on the most general principles of reality, gauge and reparametrization invariance, a problem of constructing the action describing dynamics of a classical color-charged particle interacting with background non-Abelian gauge and fermion fields is considered. The cases of the linear and quadratic dependence of a Lagrangian on a background Grassmann fermion field are discussed. It is shown that in both cases in general there exists an infinite number of interaction terms, which should be included in the Lagrangian in question. Employing a simple iteration scheme, examples of the construction of the first few gauge-covariant currents and sources induced by a moving particle with non-Abelian charge are given. It is found that these quantities, by a suitable choice of parameters, exactly reproduce additional currents and sources previously obtained in [ Yu.A. Markov, M.A. Markova, Nucl. Phys. A 784 (2007) 443] on the basis of heuristic considerations. *

show abstract

“…In the paper [25] we have suggested the formula for emitted radiant power of soft fermionic excitations. In particular, in the temporal gauge we have…”

Section: Fdt For Soft Fermionic Fluctuationsmentioning

confidence: 99%

“…This formula was defined in [25] within semiclassical approximation and therefore the functions on the right-hand side are classical Grassmann-valued ones. Comparing Q F with (5.3), we can draw the conclusion that if as stationary and homogeneous fields ξ (i) we choose…”

Section: Fdt For Soft Fermionic Fluctuationsmentioning

confidence: 99%

On the fluctuation–dissipation theorem for soft fermionic excitations in a hot QCD plasma

Markov

Markova

2010

Nuclear Physics A

Self Cite

View full text Add to dashboard Cite

We discuss two ways of deriving the fluctuation-dissipation theorem (FDT) for soft fermion excitations in a hot non-Abelian plasma being in a thermal equilibrium. The first of them is based on the extended (pseudo)classical model in describing a quark-gluon plasma suggested in [Yu.A. Markov, M.A. Markova, Nucl. Phys. B 784 (2007) 443], while the second one rests on the standard technique of calculation of the FDT for thermodynamically equilibrium systems. We show that full accounting all subtleties that are common to the fermion system under consideration, results in perfect coincidence of thus obtained FDTs. This provides a rather strong argument for the validity of the pseudoclassical model suggested.

show abstract

Nonlinear dynamics of soft fermion excitations in hot QCD plasma I: Soft-quark–soft-gluon scattering

Cited by 8 publications

References 37 publications

Nonlinear dynamics of soft fermion excitations in hot QCD plasma II: Soft-quark–hard-particle scattering and energy losses

Nonlinear dynamics of soft fermion excitations in hot QCD plasma II: Soft-quark–hard-particle scattering and energy losses

The equations of motion for a classical color particle in background non-Abelian bosonic and fermionic fields

On the fluctuation–dissipation theorem for soft fermionic excitations in a hot QCD plasma

Contact Info

Product

Resources

About