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The chiral anomaly is based on a non-conserved chiral charge and can happen in Dirac fermion systems under the influence of external electromagnetic fields. In this case, the spectral flow leads to a transfer of right- to left-moving…

介观与纳米尺度物理 · 物理学 2017-01-04 Christoph Fleckenstein , Niccolò Traverso Ziani , Björn Trauzettel

Chiral fermionic quasiparticles emerge in certain quantum condensed matter systems such as Weyl semimetals, topological insulators, and spin-orbit coupled noncentrosymmetric metals. Here, a comprehensive theory of the chiral anomaly-induced…

介观与纳米尺度物理 · 物理学 2024-09-06 Azaz Ahmad , Gautham Varma K. , Gargee Sharma

Axial charge imbalance is an essential ingredient in novel effects associated with chiral anomaly such as chiral magnetic effects (CME). In a non-Abelian plasma with chiral fermions, local axial charge can be generated a) by topological…

高能物理 - 理论 · 物理学 2015-08-18 Ioannis Iatrakis , Shu Lin , Yi Yin

We study Josephson junctions based on inversion-asymmetric but time-reversal symmetric Weyl semimetals under the influence of Zeeman fields. We find that, due to distinct spin textures, the Weyl nodes of opposite chirality respond…

超导电性 · 物理学 2019-09-30 Song-Bo Zhang , Johanna Erdmenger , Björn Trauzettel

We present two examples of non-trivial field theories which are scale invariant, but not conformally invariant. This is done by placing certain field theories, which are conformally invariant in flat space, onto curved backgrounds of a…

高能物理 - 理论 · 物理学 2009-10-31 Adel M. Awad , Clifford V. Johnson

We analyze the phenomenon of fermion pairing into an effective boson associated with anomalies and the anomalous commutators of currents bilinear in the fermion fields. In two spacetime dimensions the chiral bosonization of the Schwinger…

高能物理 - 理论 · 物理学 2015-01-09 Daniel N. Blaschke , Raúl Carballo-Rubio , Emil Mottola

We consider two $d \geq 2$ conformal field theories (CFTs) glued together along a codimension one conformal interface. The conformal anomaly of such a system contains both bulk and interface contributions. In a curved-space setup, we…

高能物理 - 理论 · 物理学 2020-12-02 Christopher P. Herzog , Kuo-Wei Huang , Dmitri V. Vassilevich

Built upon the state-of-the-art model a multiphase transport (AMPT), we develop a new module of chiral anomaly transport (CAT), which can trace the evolution of the initial topological charge of gauge field created through sphaleron…

高能物理 - 唯象学 · 物理学 2023-11-01 Zilin Yuan , Anping Huang , Wen-Hao Zhou , Guo-Liang Ma , Mei Huang

Topological semimetals is a new class of condensed matter systems with nontrivial electronic structure topology. Their unusual observable properties may often be understood in terms of quantum anomalies. In particular, Weyl and Dirac…

介观与纳米尺度物理 · 物理学 2018-04-06 A. A. Burkov

For a classical superconformal gauge theory in a conformal supergravity background, its chiral R-symmetry anomaly, Weyl anomaly and super-Weyl anomaly constitute a supermultiplet. We review how these anomalies arise from the…

高能物理 - 理论 · 物理学 2007-05-23 M. Chaichian , W. F. Chen

These lecture notes provide a self-contained, graduate-level introduction to the strong $CP$ problem and QCD axion physics from an effective field theory (EFT) viewpoint. We review the construction of the chiral EFT of QCD yielding a…

高能物理 - 唯象学 · 物理学 2026-02-05 Francesco Sannino

Quantum anomalies are the breakdowns of classical conservation laws that occur in quantum-field theory description of a physical system. They appear in relativistic field theories of chiral fermions and are expected to lead to anomalous…

介观与纳米尺度物理 · 物理学 2023-11-15 Pardeep Kumar Tanwar , Mujeeb Ahmad , Md Shahin Alam , Xiaohan Yao , Fazel Tafti , Marcin Matusiak

While chiral quantum field theories (QFTs) describe a wide range of physical systems, from the standard model to topological quantum matter, the realization of chiral QFTs on a lattice has proved to be difficult due to the Nielsen-Ninomiya…

强关联电子 · 物理学 2022-03-04 Michael Austin DeMarco

We show how the temperature-dependent chiral vortical effect can generate hypermagnetic fields and matter-antimatter asymmetries, in the symmetric phase of the early Universe, in the temperature range $100\mbox{GeV} \le T\le 10\mbox{TeV}$,…

高能物理 - 唯象学 · 物理学 2025-04-11 S. Abbaslu , A. Rezaei , S. Rostam Zadeh , S. S. Gousheh

We show that the assumption of non-zero topological susceptibility of the vacuum in a fermion-free version of a theory, such as gravity or QCD, suffices to conclude the following: Once N massless fermion flavors are added to the theory,…

高能物理 - 理论 · 物理学 2017-05-19 Gia Dvali

We explicitly calculate the topological terms that arise in IR effective field theories for $SU(N)$ gauge theories on $\mathbb{R}^3 \times S^1$ by integrating out all but the lightest modes. We then show how these terms match all…

高能物理 - 理论 · 物理学 2021-02-03 Erich Poppitz , F. David Wandler

We show that the interaction of an axion field, or in general a pseudoscalar field, with the axial-vector current generated by an electron through a derivative-type coupling can give rise to a time-dependent mixing of opposite-parity states…

高能物理 - 唯象学 · 物理学 2015-02-26 Y. V. Stadnik , V. V. Flambaum

This is an invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics. We review the following algebraic structures which appear in two-dimensional conformal field theory (CFT): The symmetries of two-dimensional…

量子代数 · 数学 2024-12-05 Jürgen Fuchs , Christoph Schweigert , Simon Wood , Yang Yang

Warped conformal field theories (WCFTs) are two-dimensional non-relativistic systems, with a chiral scaling and shift symmetry. We present a detailed derivation of the near-extremal limit for their torus partition function. This limit…

高能物理 - 理论 · 物理学 2023-08-02 Ankit Aggarwal , Alejandra Castro , Stéphane Detournay , Beatrix Mühlmann

In continuum physics, there are important topological aspects like instantons, theta-terms and the axial anomaly. Conventional lattice discretizations often have difficulties in treating one or the other of these aspects. In this paper, we…

高能物理 - 理论 · 物理学 2015-06-26 A. P. Balachandran , S. Vaidya