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We show that in a spontaneously broken effective gauge field theory, quantized in a general background $R_\xi$-gauge, also the background fields undergo a non-linear (albeit background-gauge invariant) field redefinition induced by…

High Energy Physics - Theory · Physics 2021-02-23 Andrea Quadri

In this paper we study the $(2+1)$-dimensional Klein-Gordon oscillator coupled to an external magnetic field, in which we change the standard partial derivatives for the Dunkl derivatives. We find the energy spectrum (Landau levels) in an…

Mathematical Physics · Physics 2025-07-29 R. D. Mota , D. Ojeda-Guillén , M. Salazar-Ramírez , V. D. Granados

We explore the two-dimensional motion of relativistic electrons when they are trapped in magnetic fields having spatial power-law variation. Its impacts include lifting of degeneracy that emerged in the case of the constant magnetic field,…

Quantum Physics · Physics 2023-04-05 Srishty Aggarwal , Banibrata Mukhopadhyay

Analogous to Landau quantization related to a neutral particle possessing an electric quadrupole moment, we generalize such Landau quantization to include position-dependent mass (PDM) neutral particles. Using cylindrical coordinates, the…

Quantum Physics · Physics 2020-07-02 Zeinab Algadhi , Omar Mustafa

Physics of two-dimensional electron gases under perpendicular magnetic field often displays three distinct stages when increasing the field amplitude: a low field regime with classical magnetotransport, followed at intermediate field by a…

Mesoscale and Nanoscale Physics · Physics 2019-06-17 Thierry Champel , Serge Florens

We calculate the probability distributions of quarks in the ground state of the proton, and how they are affected in the presence of a constant background magnetic field. We focus on wave functions in the Landau and Coulomb gauges. We…

High Energy Physics - Lattice · Physics 2011-08-09 Dale S. Roberts , Patrick O. Bowman , Waseem Kamleh , Derek B. Leinweber

In this work we investigate which radial field configuration yields bound states for neutral particles showing non-zero magnetic and electric dipole moments. The main result is that, in contrast with previous works, the Landau analog levels…

High Energy Physics - Theory · Physics 2012-05-23 Cleverson Filgueiras , D. Cogollo , E. O. Silva

The occupied Landau levels of strange quark matter are investigated in the framework of the SU(3) NJL model with a conventional coupling and a magnetic-field dependent coupling respectively. At lower density, the Landau levels are mainly…

High Energy Physics - Phenomenology · Physics 2016-07-12 Xin-Jian Wen , Jun-Jun Liang

In this work, the mass of charged pions is investigated in the presence of background magnetic fields stronger than the energy scale of QCD. We introduce an anomaly magnetic momentum term in the Dirac equation and obtain the quark…

High Energy Physics - Phenomenology · Physics 2021-10-05 Jingyi Chao , Yu-Xin Liu , Lei Chang

In this contribution we study the Landau levels arising within the relativistic quantum dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external electric field. We consider the…

Quantum Physics · Physics 2015-05-13 K. Bakke , C. Furtado

The spectrum of charged particles in translation-invariant systems in a magnetic field is characterized by the Landau levels, which play a fundamental role in the thermodynamic and transport properties of solids. The topological nature and…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Isac Sahlberg , Moein N. Ivaki , Kim Pöyhönen , Teemu Ojanen

Electromagnetic properties of hadrons can be computed by lattice simulations of QCD in background fields. We demonstrate new techniques for the investigation of charged hadron properties in electric fields. Our current calculations employ…

High Energy Physics - Lattice · Physics 2009-08-26 William Detmold , Brian C. Tiburzi , Andre Walker-Loud

We study ultracold atom-ion collisions in the presence of an external magnetic field. At low collision energy the field can drastically modify the translational motion of the ion, which follows quantized cyclotron orbits. We present a…

Quantum Gases · Physics 2015-05-28 Andrea Simoni , Jean-Michel Launay

The QCD phase transitions are investigated in the presence of an external magnetic field in the Polyakov improved Nambu--Jona-Lasinio (PNJL) model. We detailedly analyze that how the filling of multiple Landau levels by light (up and down)…

High Energy Physics - Phenomenology · Physics 2019-07-24 Guo-yun Shao , Wei-bo He , Xue-yan Gao

For the magnetic Laplacian on a bounded planar domain, imposing Neumann boundary conditions produces eigenvalues below the lowest Landau level. If the domain has two boundary components and one imposes a Neumann condition on one component…

Spectral Theory · Mathematics 2024-06-11 Soeren Fournais , Ayman Kachmar

Chiral perturbation theory makes definitive predictions for the extrinsic behavior of hadrons in external electric and magnetic fields. Near the chiral limit, the electric and magnetic polarizabilities of pions, kaons, and nucleons are…

High Energy Physics - Lattice · Physics 2015-05-30 W. Detmold , B. C. Tiburzi , A. Walker-Loud

We solve the Landau problem for charged particles on odd-dimensional spheres $S^{2k-1}$ in the background of constant SO(2k-1) gauge fields carrying the irreducible representation $\left ( \frac{I}{2}, \frac{I}{2}, \cdots, \frac{I}{2}…

High Energy Physics - Theory · Physics 2017-03-29 U. H. Coskun , S. Kurkcuoglu , G. C. Toga

If physics beyond the Standard Model enters well above the electroweak scale, its low-energy effects are described by Standard Model Effective Field Theory. Already at dimension six many operators involve the antisymmetric quark tensor…

High Energy Physics - Phenomenology · Physics 2020-05-11 Martin Hoferichter , Bastian Kubis , Jacobo Ruiz de Elvira , Peter Stoffer

We develop a comprehensive Ginzburg-Landau theory describing triple-Q magnetic orders on hexagonal lattices, focusing on $O(N)$ models with $N=2$ and $N=3$. Through systematic analysis of symmetry-allowed terms in the free energy, we…

Strongly Correlated Electrons · Physics 2025-12-23 Jin-Tao Jin , Yi Zhou

We show that (2+1) dimensional noncommutative Dirac oscillator in an external magnetic field is mapped onto the same but with reduced angular frequency in absence of magnetic field. We construct the relativistic Landau levels by solving…

High Energy Physics - Theory · Physics 2018-09-14 Bhabani Prasad Mandal , Sumit Kumar Rai