Nuclear Theory·nucl-th

Wednesday·December 21, 2022

8 papers—3 primary·5 cross-listed

04
[Submitted on 19 Dec 2022] (cross-list from hep-ph)
A systematic formulation of chiral anomalous magnetohydrodynamics
Michael J. Landry🇺🇸 · Hong Liu🇺🇸
We present a new way of deriving effective theories of dynamical electromagnetic fields in general media. It can be used to give a systematic formulation of magnetohydrodynamics (MHD) with strong magnetic fields, including systems with chiral matter and Adler-Bell-Jackiw (ABJ) anomaly. We work in the regime in which velocity and temperature fluctuations can be neglected. The resulting chiral anomalous MHD incorporates and generalizes the chiral magnetic effect, the chiral separation effect, the chiral electric separation effect, as well as recently derived strong-field MHD, all in a single coherent framework. At linearized level, the theory predicts that the chiral magnetic wave does not survive dynamical electromagnetic fields. A different chiral wave, to which we refer as the chiral magnetic electric separation wave, emerges as a result of dynamical versions of the chiral electric separation effect and the chiral magnetic effect. We predict its wave velocity. We also introduce a simple, but solvable nonlinear model to explore the fate of the chiral instability.
Comments:
v2 clarifies the nature of the chrial wave in the linearized perturbations, added references, 24 pages
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Astrophysical Phenomena (astro-ph.HE); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
arXiv:
2212.09757 [pdf]
JHEP(2026)·18 citations
05
[Submitted on 19 Dec 2022] (cross-list from hep-th)
Towards an effective action for chiral magnetohydrodynamics
Arpit Das🇬🇧 · Nabil Iqbal🇬🇧 · Napat Poovuttikul🇬🇧
We consider chiral magnetohydrodynamics, i.e. a finite-temperature system where an axial $U (1)$ current is not conserved due to an Adler-Bell-Jackiw anomaly saturated by the dynamical operator $F_{μν} F ~^{μν}$ . We express this anomaly in terms of the 1-form symmetry associated with magnetic flux conservation and study its realization at finite temperature. We present Euclidean generating functional and dissipative action approaches to the dynamics and reproduce some aspects of chiral MHD phenomenology from an effective theory viewpoint, including the chiral separation and magnetic effects. We also discuss the construction of non-invertible axial symmetry defect operators in our formalism.
Comments:
revtex, 29+6 pages
Subjects:
High Energy Physics — Theory (hep-th); High Energy Astrophysical Phenomena (astro-ph.HE); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th); Fluid Dynamics (physics.flu-dyn)
arXiv:
2212.09787 [pdf]
22 citations
06
[Submitted on 19 Dec 2022] (cross-list from cond-mat.dis-nn)
Topological Dimensions from Disorder and Quantum Mechanics?
Ivan Horváth · Peter Markoš
We have recently shown that critical Anderson electron in $D = 3$ dimensions effectively occupies a spatial region of infrared (IR) scaling dimension $d_{IR} \approx 8/3$ . Here we inquire about the dimensional substructure involved. We partition space into regions of equal quantum occurrence probability, such that points comprising a region are of similar relevance, and calculate the IR scaling dimension $d$ of each. This allows us to infer the probability density $p (d)$ for dimension $d$ to be accessed by electron. We find that $p (d)$ has a strong peak at $d$ very close to 2. In fact, our data suggests that $p (d)$ is non-zero on the interval $[d_{min}, d_{max}] \approx [4/3, 8/3]$ and may develop a discrete part ( $δ$ -function) at $d = 2$ in infinite-volume limit. The latter invokes the possibility that combination of quantum mechanics and pure disorder can lead to emergence of topological dimensions. Although $d_{IR}$ is based on effective counting of which $p (d)$ has no a priori knowledge, $d_{IR} \geq d_{max}$ is an exact feature of the ensuing formalism. Possible connection of our results to recent findings of $d_{IR} \approx 2$ in Dirac near-zero modes of thermal quantum chromodynamics is emphasized.
Comments:
5 pages, 6 figures
Subjects:
cond-mat.dis-nn (cond-mat.dis-nn); High Energy Physics — Lattice (hep-lat); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th); Quantum Physics (quant-ph)
arXiv:
2212.09806 [pdf]
Entropy(2023)·2 citations
07
[Submitted on 20 Dec 2022] (cross-list from hep-lat)
The isentropic equation of state of (2+1)-flavor QCD: An update based on high precision Taylor expansion and Padé-resummed expansion at finite chemical potentials
Jishnu Goswami🇯🇵
The HotQCD Collaboration performed Taylor expansion calculations in 2017 for the pressure, energy density, and entropy density at non-zero chemical potentials up to the $6^{t h}$ order. Since then, they have significantly improved the statistics for lattices with temporal extents of $N_{τ} = 8$ and $12$ , and have also included results for $N_{τ} = 16$ that were not previously available. They have also calculated the $8^{t h}$ -order expansion coefficients for $N_{τ} = 8$ . These calculations showed that the Taylor series expansion for the pressure is accurate up to $μ_{B} / T \leq 2.5$ . In this study, we use the high-statistics results on Taylor expansion coefficients, calculated with HISQ fermions and extrapolated to the continuum limit, to determine the QCD equation of state under conditions relevant for hot and dense matter produced in heavy ion collisions. We also calculate the energy density and pressure along lines of constant entropy per net baryon number.
Comments:
Prepared for the proceedings of LATTICE2022, The 39th International Symposium on Lattice Field Theory, 26th-30th July, 2022 Bonn, Germany, Reference updated
Subjects:
High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2212.10016 [pdf]
PoS(2023)·6 citations
08
[Submitted on 20 Dec 2022] (cross-list from hep-lat)
Finite temperature QCD phase transition with 3 flavors of Möbius domain wall fermions
Yu Zhang🇯🇵 · Yasumichi Aoki🇯🇵 · Shoji Hashimoto🇯🇵 · Issaku Kanamori🇯🇵 · Takashi Kaneko🇯🇵 · Yoshifumi Nakamura🇯🇵
We investigate the finite temperature QCD phase transition with three degenerate quark flavors using Möbius domain wall fermions. To explore the order of phase transition on the lower left corner of Columbia plot and if possible, to locate the critical endpoint we performed simulations at temperatures around 181 and 121 MeV with lattice spacing $a = 0.1361 (20)$ fm corresponding to temporal lattice extent $N_{τ} = 8, 12$ with varying quark mass for two different volumes with aspect ratios $N_{σ} / N_{τ}$ ranging from 2 to 3. By analyzing the volume and mass dependence of the chiral condensate, disconnected chiral susceptibility and Binder cumulant we find that there is a crossover at $m_{q}^{MS} (2 GeV) \sim 44 MeV$ for $T_{pc} \sim$ 181 MeV, At temperature 121 MeV, the binder cumulant suggests a crossover at $m_{q}^{MS} (2 GeV) \sim 3.7 MeV$ , although a study of volume dependence would be important to confirm this.
Comments:
9 pages, 5 figures, Contribution to the 39th International Symposium on Lattice Field Theory (Lattice 2022), 08-13 August 2022, Bonn, Germany
Subjects:
High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
arXiv:
2212.10021 [pdf]
PoS(2023)·13 citations

Affiliations

first authorsco-authorsvia INSPIRE

A systematic formulation of chiral anomalous magnetohydrodynamics

Towards an effective action for chiral magnetohydrodynamics

Topological Dimensions from Disorder and Quantum Mechanics?

The isentropic equation of state of (2+1)-flavor QCD: An update based on high precision Taylor expansion and Padé-resummed expansion at finite chemical potentials

Finite temperature QCD phase transition with 3 flavors of Möbius domain wall fermions

Affiliations