arXiv subjects
Publications and source records attributed to M. Dirks.
We investigate the time dependence of the quantum statistical model with $λϕ^4/4!$ self-interaction and consider the resulting induced particle number density. For a special example in which the classical approximation exhibits parametric resonance, the effects of the back reaction and especially of collisions, treated in a perturbative way, are analysed.
We investigate the decay of metastable states with broken CP-symmetry which have recently been proposed by Kharzeev, Pisarski and Tytgat to form in hot hadronic matter. We consider the efficiency of the amplification of the $η'$-field via parametric resonance, taking the backreaction into account. For times of the order $t\approx 10 fm$, we find a particle density of about $0.7/fm^3$ and a correlation length of $ξ_{max}\approx 2.5 fm$. The corresponding momentum spectra show a non-thermal behaviour.
Within the Closed Time Path Formalism of Thermal Field Theory we calculate the hard photon emission rate as well as the collisional energy-loss rate for a quark-gluon plasma away from chemical equilibrium. Mass singularities are shown to be dynamically screened within HTL-resummed perturbation theory also away from equilibrium. Additional (pinch) singularities are absent and well defined results are obtained.
A Slavnov-Taylor identity is derived for the gluon polarization tensor in hot QCD. We evaluate its implications for damping of gluonic modes in the plasma. Applying the identity to next to the leading order in hard-thermal-loop resummed perturbation theory, we derive the expected equality of damping rates for static transverse and longitudinal (soft) gluons. This is of interest also in view of deviating recent reports of $γ_t(p=0)\neqγ_l(p=0)$ based on a direct calculation of $γ_l(p=0)$.
We investigate the production rate for hard real photons and the collisional energy loss in the quark-gluon plasma away from chemical equilibrium. Applying the Hard-Thermal-Loop resummation scheme away from equilibrium, we can show that Landau damping provides dynamical screening for both fermion and boson exchange present in the two quantities.
The electromagnetic emissivity from QCD media away from equilibrium is studied in the framework of closed time path thermal field theory. For the dilepton rate a nonequilibrium mesonic medium is considered applying finite temperature perturbation theory for $π-ρ$ interactions. The dilepton rate is derived up to the order $g_ρ^2$. For hard photon production a quark gluon plasma is assumed and calculations are performed in leading order in the strong coupling constant. These examples are chosen in order to investigate the role of possible pinch terms in boson and in fermion propagators, respectively. The implications of the results for phenomenology are also discussed.
In the framework of closed time path thermal field theory we investigate the production rate of hard thermal photons from a QCD plasma away from equilibrium. Dynamical screening provides a finite rate for chemically non-equilibrated distributions of quarks and gluons just as it does in the equilibrium situation. Pinch singularities are shown to be absent in the real photon rate even away from equilibrium.
The production of soft dileptons in a thermal mesonic medium is discussed in the context of recent CERN experimental data reported by the CERES Collaboration. We do not intend to give a general and critical review, but instead concentrate mainly on our approach, however, incorporating many of the recent attempts in the literature. We calculate the contributions to the dilepton yield arising from pion annihilation and $π-ρ$ scattering. It is shown that thermal dileptons from $π-ρ$ scattering give a significant contribution to the low-mass yield, however, it can only partly account for the experimentally observed soft dilepton excess seen in S-Au and Pb-Au collisions at SPS energy. The out off-equilibrium effects as well as a dropping vector meson mass are discussed in the context of the thermal dilepton yield. We emphasize, following the results of Li, Ko, and Brown, that, until now, the best way to provide a quantitative explanation of the observed enhancement of low-mass dileptons by the CERN experiments is the assumption of a decreasing vector meson mass in a high density thermal medium.
A systematic study of low mass dilepton production from $π-ρ$ interactions in a hot medium is presented. Applying finite temperature perturbation theory the dilepton rate, respectively the virtual photon rate, is computed up to order $g_ρ^2$. For dilepton masses below the $ρ$ the two-body reactions $ππ\to ργ^*$, $πρ\to πγ^*$, and the decay process $ρ\to ππγ^*$ give significant contributions. Non-equilibrium contributions to the thermal rate are estimated, including the modification of the particle distribution function with non-zero pion chemical potential. The comparison of the dilepton rate with the recent data measured in nucleus-nucleus collisions at SPS energy by the CERES Collaboration is also performed. It is shown that the additional thermal dileptons from $π-ρ$ interactions can partially account for the access of the soft dilepton yield seen experimentally.
Chiral theories of constituent quarks interacting with bosons and photons at high temperatures are studied. In the expected chirally symmetric phase effective electromagnetic anomalous couplings for e.g. $πσ\to γγ, ~ γ\to πππσ, $ etc., are derived by applying functional methods.
We discuss chiral theories of constituent quarks interacting with bosons at high temperatures. In the chirally symmetric phase we demonstrate by applying functional methods the presence of effective anomalous couplings for e.g. $πσ\to γγ, ~ γ\to πππσ, ~K K \to πππσ$, etc., as they have recently been discussed by Pisarski.