Dirk H. Rischke

Goethe University Frankfurt

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Francesco Giacosa

Jan Kochanowski University

Walter Greiner

Frankfurt Institute for Advanced Studies

Gabriel S. Denicol

Universidade Federal Fluminense

E. Molnár

Goethe University Frankfurt

H. Stöcker

Frankfurt Institute for Advanced Studies

Denis Parganlija

TU Wien

H. Niemi

University of Jyväskylä

Robert D. Pisarski

Brookhaven National Laboratory

I. A. Shovkovy

Arizona State University

Armen Sedrakian

Frankfurt Institute for Advanced Studies

Cooperative Institutions

Chinese Academy of Sciences

377

Institute of High Energy Physics

334

University of Chinese Academy of Sciences

237

Goethe University Frankfurt

149

A. Alikhanyan National Laboratory

141

European Organization for Nuclear Research

131

University of Science and Technology of China

111

Peking University

103

Centre National de la Recherche Scientifique

Tsinghua University

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Universality of the diffusion wake from stopped and punch-through jets in heavy-ion collisions

Physical Review C (2009)

Barbara Betz Jorge Noronha Giorgio Torrieri Miklós Gyulassy I. N. Mishustin

We solve (3$+$1)-dimensional ideal hydrodynamical equations with source terms that describe punch-through and fully stopped jets to compare their final away-side angular correlations in a static medium. For fully stopped jets, the backreaction of the medium is described by a simple Bethe-Bloch-like model that leads to an explosive burst of energy and momentum (Bragg peak) close to the end of the jet's evolution through the medium. Surprisingly enough, we find that the medium's response and the corresponding away-side angular correlations are largely insensitive to whether the jet punches through or stops inside the medium. This result is also independent of whether momentum deposition is longitudinal (as generally occurs in pQCD energy loss models) or transverse (as the Bethe-Bloch formula implies). The existence of the diffusion wake is therefore shown to be universal to all scenarios where momentum as well as energy is deposited into the medium, which can readily be understood in ideal hydrodynamics through vorticity conservation. The particle yield coming from the strong forward moving diffusion wake that is formed in the wake of both punch-through and stopped jets largely overwhelms their weak Mach cone signal after freeze-out.

Momentum diffusion

Momentum (technical analysis)

10.1103/physrevc.79.034902

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Citations (77)

Publisher’s Note: Relativistic Shock Waves in Viscous Gluon Matter [Phys. Rev. Lett.103, 032301 (2009)]

Physical Review Letters (2009)

I. Bouras E. Molnár H. Niemi Zijian Xu A. El

10.1103/physrevlett.103.059902

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Citations (1)

Numerical tests of causal relativistic dissipative fluid dynamics

The European Physical Journal C (2009)

E. Molnár H. Niemi Dirk H. Rischke

10.1140/epjc/s10052-009-1194-9

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Citations (68)

Chiral symmetry restoration at nonzero temperature in theSU(3)r×SU(3)

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (2000)

Jonathan Lenaghan Dirk H. Rischke Jürgen Schaffner‐Bielich

We study patterns of chiral symmetry breaking at zero temperature and its subsequent restoration at nonzero temperature within the $\mathrm{SU}{(3)}_{r}\ifmmode\times\else\texttimes\fi{}\mathrm{SU}{(3)}_{l}$ linear sigma model. Gap equations for the masses of the scalar and pseudoscalar mesons and the non-strange and strange quark condensates are systematically derived in the Hartree approximation via the Cornwall-Jackiw-Tomboulis formalism. In the chiral limit, the chiral symmetry restoring transition is found to be first order, as predicted by universality arguments. Taking the experimental values for the meson masses, however, the transition is crossover. The absence of the $\mathrm{U}{(1)}_{A}$ anomaly is found to drive this transition closer to being first order. At large temperatures, the mixing angles between octet and singlet states approach ideal flavor mixing.

Pseudoscalar meson

10.1103/physrevd.62.085008

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Citations (170)

Quark spectral function and deconfinement at nonzero temperature

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology (2013)

Si-xue Qin Dirk H. Rischke

The maximum entropy method is used to compute the quark spectral function at nonzero temperature. We solve the gap equation of quantum chromodynamics (QCD) self-consistently, employing a rainbow kernel which phenomenologically models results from Dyson-Schwinger equations and lattice QCD. We use the criterion of positivity restoration of the spectral function as a signal for deconfinement. Our calculation indicates that the critical temperature of deconfinement ${T}_{d}$ is slightly smaller than the one of chiral symmetry restoration ${T}_{c}$: ${T}_{d}\ensuremath{\sim}94%{T}_{c}$ in the chiral limit and ${T}_{d}\ensuremath{\sim}96%{T}_{c}$ with physical light quark masses. Since these deviations are within the systematic error of our approach, it is reasonable to conclude that chiral symmetry restoration and deconfinement coincide at zero chemical potential.

Deconfinement

Spectral function

10.1103/physrevd.88.056007

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Citations (58)

NEW RESULTS FOR SPIN-ONE COLOR SUPERCONDUCTORS

Andreas Schmitt Q. WANG Dirk H. Rischke

10.1142/9789812704498_0005

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Shock Discontinuities around the Confinement-Deconfinement Transition in Baryon-Rich Matter

Dirk H. Rischke Bengt Friman B. Waldhauser H. Stöcker Walter Greiner

Deconfinement

Classification of discontinuities

Source

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Finite volume effect of nucleons and the formation of the quark-gluon plasma

Physics Letters B (1993)

Bo-Qiang Ma Qiren Zhang Dirk H. Rischke Walter Greiner

Mean field theory

10.1016/0370-2693(93)90153-9

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Citations (15)

From kinetic theory to dissipative fluid dynamics

Progress in Particle and Nuclear Physics (2009)

B. Betz Danielle M. Henkel Dirk H. Rischke

Kinetic Theory

Dynamics

10.1016/j.ppnp.2008.12.018

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Citations (36)

Functional Renormalization Group analysis of the quark-condensation pattern on the Fermi surface: A simple effective-model approach

arXiv (Cornell University) (2024)

Kie Sang Jeong Fabrizio Murgana Ashutosh Dash Dirk H. Rischke

A simple effective model for the intermediate-density regime is constructed from the high-density effective theory of quantum chromodynamics (QCD). In the effective model, under a renormalization-group (RG) scaling towards low momenta, the original QCD interactions lead to four-quark contact interactions for the relevant quark and hole modes around the Fermi surface. The contact interaction in the scalar channel can be traced back to zero-sound-type collinear quark scattering near the Fermi surface in an instanton background. The quark and hole states in opposite directions of a given Fermi velocity form the collective scalar bosonic mode $\sigma$. The magnitude of $\sigma$ is investigated via the non-perturbative Functional Renormalization Group (FRG) evolution of the effective average action from the ultraviolet (UV) to the infrared (IR). In the mean background-field approximation for $\sigma$, nontrivial minima ($\bar{\sigma} \neq 0$) are found in the IR limit of the effective average action. A nonvanishing $\bar{\sigma}$ corresponds to condensation of quark and hole states in opposite directions of a given Fermi velocity, in a thin shell-like structure in momentum space around the Fermi surface. This looks similar to the shell-like baryon distribution in momentum space assumed in the quarkyonic-matter concept. However, when including a dynamic bosonic $\sigma$-mode in the RG flow, we find that its diffusive nature destroys the quark-hole condensate, i.e., the IR potential does not show any minima beyond the trivial one.

Functional renormalization group

10.48550/arxiv.2407.13589

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