Nuclear Theory·nucl-th

Monday·January 22, 2024

9 papers—5 primary·4 cross-listed

06
[Submitted on 2 Jan 2024] (cross-list from hep-lat)
Microscopic Encoding of Macroscopic Universality in QCD Chiral Phase Transition
Heng-Tong Ding🇨🇳 · Wei-Ping Huang🇨🇳 · Swagato Mukherjee · Peter Petreczky
We reveal that the universal scaling properties of the chiral phase transition in quantum chromodynamics (QCD) at the macroscale are, in fact, encoded within the microscopic energy levels of its fundamental constituents, the quarks. We introduce a novel relation between the cumulants of the chiral order parameter, i.e., the chiral condensate, and the correlations among the energy levels of quarks, i.e., the eigenspectra of the massless QCD Dirac operator. This relation elucidates how the fluctuations of the chiral condensate arise from the correlations within the infrared part of the energy spectra of quarks, and naturally leads to a generalization of the Banks-Casher relation for the cumulants of the chiral condensate. Then, through (2+1)-flavor lattice QCD calculations using HISQ action with varying light quark masses around the chiral phase transition temperature, we demonstrate that the correlations among the infrared part of the Dirac eigenvalue spectra exhibit same universal scaling behaviors as expected of the cumulants of the chiral condensate. We find that these universal scaling behaviors extend up to the physical values of the up and down quark masses.
Comments:
9 pages, 3 figures, talk presented at the 40th International Symposium on Lattice Field Theory (Lattice2023), July 31st - August 4th, 2023, Fermi National Accelerator Laboratory
Subjects:
High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
arXiv:
2401.10263 [pdf]
PoS(2024)·0 citations
07
[Submitted on 18 Jan 2024] (cross-list from hep-ph)
Energy-momentum tensor of the dilute (3+1)D Glasma
Andreas Ipp🇦🇹 · Markus Leuthner🇦🇹 · David I. Müller🇦🇹 · Sören Schlichting🇩🇪 · Kayran Schmidt🇦🇹 · Pragya Singh🇫🇮
We present a succinct formulation of the energy-momentum tensor of the Glasma characterizing the initial color fields in relativistic heavy-ion collisions in the Color Glass Condensate effective theory. We derive concise expressions for the (3+1)D dynamical evolution of symmetric nuclear collisions in the weak field approximation employing a generalized McLerran-Venugopalan model with non-trivial longitudinal correlations. Utilizing Monte Carlo integration, we calculate in unprecedented detail non-trivial rapidity profiles of early-time observables at RHIC and LHC energies, including transverse energy densities and eccentricities. For our setup with broken boost invariance, we carefully discuss the placement of the origin of the Milne frame and interpret the components of the energy-momentum tensor. We find longitudinal flow that deviates from standard Bjorken flow in the (3+1)D case and provide a geometric interpretation of this effect. Furthermore, we observe a universal shape in the flanks of the rapidity profiles regardless of collision energy and predict that limiting fragmentation should also hold at LHC energies.
Comments:
20 pages, 15 figures, 2 videos. Raw data and plots can be downloaded from https://doi.org/10.5281/zenodo.10809853
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2401.10320 [pdf]
PRD(2024)·19 citations
08
[Submitted on 19 Jan 2024] (cross-list from hep-ph)
Unraveling collisional energy loss of a heavy quark in quark-gluon plasma
Jiazhen Peng🇨🇳 · Kewei Yu🇨🇳 · Shuang Li🇨🇳 · Wei Xiong🇨🇳 · Fei Sun🇨🇳 · Wei Xie🇨🇳
At leading order in QCD coupling constant, we compute the energy loss per traveling distance of a heavy quark $d E / d z$ from elastic scattering off thermal quarks and gluons at a temperature $T$ , including the thermal perturbative description of soft scatterings ( $- t < - t^{*}$ ) and a perturbative QCD-based calculation for hard collisions ( $- t > - t^{*}$ ). Within this soft-hard factorization model, we find that the full results of $d E / d z$ behaves a mild sensitivity to the intermediate cutoff $t^{*}$ , supporting the validity of the soft-hard approach within the temperature region of interest. We re-derive the analytic formula for $d E / d z$ in the high-energy approximation, $E_{1} ≫ m_{1}^{2} / T$ , where $E_{1}$ is the injected heavy quark energy and $m_{1}$ is its mass. It is realized that the soft logarithmic contribution, $d E / d z \propto l n (- t^{*} / m_{D}^{2})$ , arises from the $t$ -channel scattering off thermal partons, while the hard logarithmic term, $d E / d z \propto l n [E_{1} T / (- t^{*})]$ , stems from the $t$ -channel scattering off thermal partons, and the one $d E / d z \propto l n (E_{1} T / m_{1}^{2})$ comes from the $s$ - and $u$ -channel scattering off gluons. The sum of these contributions cancels the $t^{*}$ -dependence as observed in the full result. The mass hierarchy is observed $d E / d z (c ha r m) > d E / d z (b o tt o m)$ . Our full results are crucial for a better description of heavy quark transport in QCD medium, in particular at low and moderate energy. We also calculate the energy loss by imposing the Einstein's relationship. The related results appear to be systematically larger than that without imposing the Einstein's relationship.
Comments:
16 pages, 8 figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2401.10644 [pdf]
PRD(2024)·11 citations
09
[Submitted on 19 Jan 2024] (cross-list from astro-ph.HE)
Using Bayesian Inference to Distinguish Neutrino Flavor Conversion Scenarios via a Prospective Supernova Neutrino Signal
Sajad Abbar🇩🇪 · Maria Cristina Volpe🇫🇷
The upcoming galactic core-collapse supernova is expected to produce a considerable number of neutrino events within terrestrial detectors. By using Bayesian inference techniques, we address the feasibility of distinguishing among various neutrino flavor conversion scenarios in the supernova environment, using such a neutrino signal. In addition to the conventional MSW, we explore several more sophisticated flavor conversion scenarios, such as spectral swapping, fast flavor conversions, flavor equipartition caused by non-standard neutrino interactions, magnetically-induced flavor equilibration, and flavor equilibrium resulting from slow flavor conversions. Our analysis demonstrates that with a sufficiently large number of neutrino events during the supernova accretion phase (exceeding several hundreds), there exists a good probability of distinguishing among feasible neutrino flavor conversion scenarios in the supernova environment.
Comments:
13 pages, 6 figures
Subjects:
High Energy Astrophysical Phenomena (astro-ph.HE); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2401.10851 [pdf]
PRD(2025)·12 citations

Affiliations

first authorsco-authorsvia INSPIRE

Microscopic Encoding of Macroscopic Universality in QCD Chiral Phase Transition

Energy-momentum tensor of the dilute (3+1)D Glasma

Unraveling collisional energy loss of a heavy quark in quark-gluon plasma

Using Bayesian Inference to Distinguish Neutrino Flavor Conversion Scenarios via a Prospective Supernova Neutrino Signal

Affiliations