Few-body correlations in the QCD phase diagram

From the viewpoint of statistical physics, nuclear matter is a strongly correlated many-particle system. Several regimes of the QCD phase diagram should exhibit strong correlations. Here I focus on three- and four-body correlations that might be important in the phase diagram.Comment: 3 pages, 4 figures, contribution to QNP200

Three- and Four-body correlations in nuclear matter

Few-nucleon correlations in nuclear matter at finite densities and temperatures are explored. Using the Dyson equation approach leads to effective few-body equations that include self energy corrections and Pauli blocking factors in a systematic way. Examples given are the nucleon deuteron in-medium reaction rates, few-body bound states including the \ga-particle, and \ga-particle condensation.Comment: 7 pages, 4 figures, uses Few-Body Systems style file

Dissociation of hadrons in quark matter within finite temperature field theory approach on the light front

We present a relativistic three-body equation to investigate the properties of nucleons in hot and dense nuclear/quark matter. Within the light front approach we utilize a zero-range interaction to study the three-body dynamics. The relativistic in-medium equation is derived within a systematic Dyson equation approach that includes the dominant medium effects due to Pauli blocking and self energy corrections. We present the in-medium nucleon mass and calculate the dissociation of the three-body system.Comment: 4 pages, 2 figures. Presented by S. Mattiello at Light-Cone 2004, Amsterdam, 16 - 20 Augus

Restoration of chiral symmetry in light-front finite temperature field theory

We investigate the properties of $qq$ and $q\bar q$ states in hot and dense quark matter in the framework of light-front finite temperature field theory. Presently we use the Nambu Jona-Lasinio model of QCD and derive the gap equation at finite temperature and density. We study pionic and scalar diquark dynamics in quark matter and calculate the masses and the Mott dissociation as a function of the temperature $T$ and the chemical potential $\mu$. For the scalar diquark we determine the critical temperature of color superconductivity.Comment: 4 pages, 3 figures, Presented by S.Strau\ss at Light-Cone 2004, Amsterdam, 16 - 20 Augus

Light front field theory of relativistic quark matter

Light-front quantization to many-particle systems of finite temperature and density provides a novel approach towards a relativistic description of quark matter and allows us to calculate the perturbative as well as the non-perturbative regime of QCD. Utilizing a Dyson expansion of light-front many-body Green functions we have so far calculated three-quark, quark-quark, and quark-antiquark correlations that lead to the chiral phase transition, the formation of hadrons and color superconductivity in a hot and/or dense environment. Presently, we use an effective zero-range interaction, to compare our results with the more traditional instant form approach where applicable.Comment: contribution to Quark Matter 2005, 18th International Conference on Nucleus Nucleus Colisions, 4 pages, 2 figures, hiph-preprint.sty file neede

A new result on the Klein-Gordon equation in the background of a rotating black hole

This short paper should serve as basis for further analysis of a previously found new symmetry of the solutions of the wave equation in the gravitational field of a Kerr black hole. Its main new result is the proof of essential self-adjointness of the spatial part of a reduced normalized wave operator of the Kerr metric in a weighted L^2-space. As a consequence, it leads to a purely operator theoretic proof of the well-posedness of the initial value problem of the reduced Klein-Gordon equation in that field in that L^2-space and in this way generalizes a corresponding result of Kay (1985) in the case of the Schwarzschild black hole. It is believed that the employed methods are applicable to other separable wave equations

Formation of Few-Body Clusters in Nuclear Matter

Starting from a suitably modified three-body equation to include dominant medium effects such as self energy corrections and Pauli blocking I present results on several observables relevant for the formation of light clusters in a heavy ion collision at moderate energies. Properly taking into account the medium leads to the Mott effect, larger reaction rates, in turn, faster time scales for the deuteron life time and chemical relaxation time. Within a Boltzmann-Uehling-Uhlenbeck approach to simulate the heavy ion reactions, also the total number of deuterons and the energy spectrum are significantly changed due to medium effects in the elementary cross sections entering into the collision integrals.Comment: 3 pages, uses Elsevier package CRC, talk at XVI International Conference on Few-Body Problems in Physics, Taipei, Taiwan, March 6-10 200