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We consider the Nelson model which describes a quantum system of nonrelativistic identical particles coupled to a possibly massless scalar Bose field through a Yukawa type interaction. We study the limiting behaviour of that model in a…

Mathematical Physics · Physics 2007-05-23 J. Ginibre , F. Nironi , G. Velo

We derive a holomorphic anomaly equation for the Vafa-Witten partition function for twisted four-dimensional $\mathcal{N} =4$ super Yang-Mills theory on $\mathbb{CP}^{2}$ for the gauge group $SO(3)$ from the path integral of the effective…

High Energy Physics - Theory · Physics 2020-11-18 Atish Dabholkar , Pavel Putrov , Edward Witten

Gaussian linking of a semiclassical path of a charged particle with a magnetic flux tube is responsible for the Aharonov-Bohm effect, where one observes interference proportional to the magnitude of the enclosed flux. We construct quantum…

High Energy Physics - Theory · Physics 2008-11-26 Roman V. Buniy , Thomas W. Kephart

Study of magnetic monopoles in the original version of Born-Infeld (BI) electrodynamics is performed. It then is realized that interesting new physics emerge and they include exotic behavior of radial electric monopole field such as its…

High Energy Physics - Theory · Physics 2009-10-31 Hongsu Kim

Magnetic monopoles and kinks are topological excitations extensively investigated in quantum spin systems, but usually they are studied in different setups. We explore the conditions for the coexistence and the interaction effects of these…

The quantum anomalous Hall effect is a fundamental transport response of a topologically non-trivial system in zero magnetic field. Its physical origin relies on the intrinsically inverted electronic band structure and ferromagnetism, and…

The existence of bound states in quantum mechanics with no classical counterpart has been a subject of interest for a long time. Cross-wires and cavities connected to infinite leads are typical examples in which open geometries with bulges…

Quantum Physics · Physics 2012-01-18 Emerson Sadurni

The two ways of constrained systems quantization are considered from the point of view of their self-consistency at the quantum level. With a transparent example of a particle in the external electromagnetic field we demonstrate that the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. S. Kalashnikova , A. V. Nefediev

We reconsider the problem of electrically charged, massless fermions scattering off magnetic monopoles. The interpretation of the outgoing states has long been a puzzle as, in certain circumstances, they necessarily carry fractional quantum…

High Energy Physics - Theory · Physics 2023-06-14 Marieke van Beest , Philip Boyle Smith , Diego Delmastro , Zohar Komargodski , David Tong

In a magnetic metal, the Hall resistance is generally taken to be the sum of the ordinary Hall resistance and the anomalous Hall resistance. Here it is shown that this empirical relation is no longer valid when either the ordinary Hall…

Mesoscale and Nanoscale Physics · Physics 2023-02-21 Jiaji Zhao , Bingyan Jiang , Jinying Yang , Lujunyu Wang , Hengjie Shi , Guang Tian , Zhilin Li , Enke Liu , Xiaosong Wu

The boundary of a topological insulator (TI) hosts an anomaly restricting its possible phases: e.g. 3D strong and weak TIs maintain surface conductivity at any disorder if symmetry is preserved on-average, at least when electron…

Strongly Correlated Electrons · Physics 2020-01-22 Itamar Kimchi , Yang-Zhi Chou , Rahul M. Nandkishore , Leo Radzihovsky

Anomalies are renormalization group invariants that constrain the dynamics of quantum field theories. We show that certain anomalies for discrete global symmetries imply that the underlying theory either spontaneously breaks its generalized…

High Energy Physics - Theory · Physics 2020-01-08 Clay Cordova , Kantaro Ohmori

We study systems with parity invariant contact interactions in one dimension. The model analyzed is the simplest nontrivial one --- a quantum wire with a point defect --- and yet is shown to exhibit exotic phenomena, such as strong vs weak…

Quantum Physics · Physics 2009-11-06 Izumi Tsutsui , Tamas Fulop , Taksu Cheon

A system of two-species, one-dimensional fermions, with an attractive two-body interaction of the derivative-delta type, features a scale anomaly. In contrast to the well-known two-dimensional case with contact interactions, and its…

We study a simple quantum mechanical model of a spinning particle moving on a sphere in the presence of a magnetic field. The system has two ground states. As the magnetic field is varied, the ground states mix through a non-Abelian Berry…

High Energy Physics - Theory · Physics 2009-06-30 Julian Sonner , David Tong

We study magnetic monopoles in a Lorentz- and CPT-odd electrodynamical framework in (3+1) dimensions. This is the standard Maxwell model extended by means of a Chern-Simons-like term, $b_\mu\tilde{F}^{\mu\nu}A_\nu$ ($b_\mu$ constant), which…

High Energy Physics - Theory · Physics 2008-11-26 N. M. Barraz , J. M. Fonseca , W. A. Moura-Melo , J. A. Helayël-Neto

A formulation of $\mathcal{N} = 2$ supersymmetric Yang-Mills theory with a spacetime-dependent gauge coupling allows to study the breaking of conformal symmetry at the quantum level. The theory has an energy-momentum tensor that is only…

High Energy Physics - Theory · Physics 2017-07-19 Marc Gillioz

In this work, we analyze anomalous effects observed in the operation of two different technological devices: a magnetic core and a parallel plate (symmetrical or asymmetrical) capacitor. From experimental measurements on both devices, we…

General Physics · Physics 2016-11-09 Elio B. Porcelli , Victo S. Filho

Berry monopoles-quantized sources of Berry curvature-are fundamental to topological phases, yet their scattering remains unexplored. Here, we report for the first time the adiabatic scattering of Berry monopoles in a bilayer photonic…

We explain how (perturbed) boundary conformal field theory allows us to understand the tunneling of edge quasiparticles in non-Abelian topological states. The coupling between a bulk non-Abelian quasiparticle and the edge is due to resonant…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak