Article
Physics, Multidisciplinary
H-T Ding, S-T Li, Swagato Mukherjee, A. Tomiya, X-D Wang, Y. Zhang
Summary: Novel relations between Dirac eigenvalue spectrum derivatives with respect to quark mass and correlations among eigenvalues were introduced, with lattice QCD results showing the impact of light quark mass on the eigenvalue spectrum and manifestation of axial anomaly in meson correlation functions.
PHYSICAL REVIEW LETTERS
(2021)
Article
Astronomy & Astrophysics
Olaf Kaczmarek, Lukas Mazur, Sayantan Sharma
Summary: This study investigates the fate of the anomalous U-A(1) symmetry in 2+1 flavor QCD and suggests that U-A(1) is broken at temperatures greater than or equal to T-c even when approaching the chiral limit.
Article
Astronomy & Astrophysics
S. Aoki, Y. Aoki, G. Cossu, H. Fukaya, S. Hashimoto, T. Kaneko, C. Rohrhofer, K. Suzuki
Summary: By conducting experiments within a temperature range, it was found that the axial U(1) anomaly above the critical temperature is consistent with zero within statistical errors. The quark mass dependence suggests that its disappearance rate is comparable to that of SU(2)(L) x SU(2)(R) symmetry breaking.
Article
Physics, Particles & Fields
A. Gomez Nicola, J. Ruiz de Elvira, A. Vioque-Rodriguez, D. Alvarez-Herrero
Summary: By using Ward identities and lattice data, the study reconstructs scalar and pseudoscalar susceptibilities in the isospin 1/2 channel, finding that χSK reaches a maximum above the QCD chiral transition before degenerating with χPK. The Unitarized Chiral Perturbation Theory at finite temperature reproduces the peak structure of χSK, highlighting the importance of thermal interactions and allowing for examination of χSK dependence on light- and strange-quark masses. The results provide an alternative sign for O(4)xU(1)A restoration, controlled by the ml/ms ratio, and emphasize the role of strangeness in reconciling tensions among lattice results regarding U(1)A restoration.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Review
Physics, Applied
N. P. Ong, Sihang Liang
Summary: The chiral anomaly, originally studied in pion decay, has led to related effects in Dirac and Weyl semimetals, describing the conversion of left-moving fermions to right-moving ones in electric and magnetic fields. Recent experiments have explored this anomaly, particularly focusing on negative longitudinal magnetoresistance and potential current-jetting artifacts in Dirac-Weyl semimetals. The research extends to various experiments like non-local transport, thermopower, thermal conductivity, and optical pump-probe response, with future prospects involving improved LMR experiments and new investigations in thermal conductivity and optics.
NATURE REVIEWS PHYSICS
(2021)
Article
Mathematics
Ran Zhang, Chuanfu Yang, Kai Wang
Summary: This work focuses on the inverse spectral problem for impulsive Dirac systems with jump conditions at a specific point on the interval (0, pi), and concludes that the matrix potential can be uniquely determined based on a set of eigenvalues under certain conditions.
Article
Physics, Mathematical
Mark J. D. Hamilton
Summary: This study focuses on Riemannian four-manifolds with spin(c)-structures and circle bundles, showing the equivalence between irreducible solutions to the Seiberg-Witten equations on the four-manifold and solutions to a Dirac equation on the Kaluza-Klein circle bundle. An application to Sasaki five-manifolds, circle bundles over Kahler-Einstein surfaces, is also considered.
JOURNAL OF MATHEMATICAL PHYSICS
(2021)
Article
Physics, Mathematical
Gokalp Alpan, Rostyslav Kozhan
Summary: This paper computes the joint eigenvalue distribution for the rank one Hermitian and non-Hermitian perturbations of chiral Gaussian beta-ensembles (beta > 0) of random matrices.
JOURNAL OF MATHEMATICAL PHYSICS
(2022)
Article
Mathematics, Applied
N. L. Pessoa, A. L. R. Barbosa, A. M. S. Macedo
Summary: We propose a numerical approach to study mesoscopic fluctuations in quantum dots with chiral symmetry. Our method involves applying the random-hopping model to calculate conductance and shot-noise power distributions for systems belonging to different chiral symmetry classes. Furthermore, we demonstrate that the spectral fluctuations of quantum dots belonging to specific symmetry classes can be obtained by applying the random-hopping model to originally integrable scattering regions.
Article
Astronomy & Astrophysics
Floriana Giannuzzi, Stefano Nicotri
Summary: The singlet pseudoscalar sector of light mesons was investigated in the soft-wall model, utilizing a bottom-up approach to the AdS/QCD correspondence. The eta' mass arises from the mixing of fields dual to the axial current, pseudoscalar current, and the G (G) over tilde operator. The topological susceptibility was calculated for any quark mass, and the Witten-Veneziano relation was derived in the large Nc limit.
Article
Astronomy & Astrophysics
Ernest Ma
Summary: The study demonstrates the connection between naturally small Dirac neutrino masses and the existence of dark matter through an anomaly-free U(1) gauge symmetry of fermion singlets.
Article
Physics, Multidisciplinary
Fabrizio Oliviero, Joao Augusto Sobral, Eric C. Andrade, Rodrigo G. Pereira
Summary: This study investigates a spin-1/2 model on the kagome lattice and finds that the competition between chiral three-spin interactions and Heisenberg exchange interactions leads to unusual ground states of spin systems.
Article
Materials Science, Multidisciplinary
Huan-Wen Wang, Bo Fu, Shun-Qing Shen
Summary: This study investigates the explicit breaking of helical symmetry of massive Dirac fermions in the presence of electric and magnetic fields, presenting equations for the divergence of helical and axial vector currents. It reveals that the contribution from helical symmetry breaking comes from the occupancy of two states at the top of the valence band and the bottom of the conduction band, and how this breaks the chiral symmetry and cancels out anomalous corrections. The study also highlights the physical consequences in condensed matter, such as the helical magnetic effect and mass-dependent positive longitudinal magnetoconductivity, showing the connection between helical symmetry breaking and physics of chiral anomaly.
Article
Mathematics
Rupert L. Frank, Michael Loss
Summary: This paper presents results on the size of magnetic fields that support zero modes for the three-dimensional Dirac equation and proves the norm condition for the existence of zero modes. The spinorial nature of the wave function is crucial in deriving an improved diamagnetic inequality.
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
(2022)
Article
Multidisciplinary Sciences
Byung Cheol Park, Taewoo Ha, Kyung Ik Sim, Taek Sun Jung, Jae Hoon Kim, Yeongkwan Kim, Young Hee Lee, Teun-Teun Kim, Sung Wng Kim
Summary: This study reports the real-space imaging and control of Jchiral in the topological Dirac semimetal KZnBi at room temperature using near-field terahertz spectroscopy, and observes its spatial flow and temporal dynamics, revealing its ultralong transport length.