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An effective Hamiltonian for the study of the quantum Hall effect is proposed. This Hamiltonian, which includes a ``current-current" interaction has the form of a Hamiltonian for a conformal field theory in the large $N$ limit. An order…

High Energy Physics - Theory · Physics 2015-06-26 G. Nagao

An energy-momentum carried by electromagnetic field produced by two point-like charged particles is calculated. Integration region considered in the evaluation of the bound and emitted quantities produced by all points of world lines up to…

High Energy Physics - Theory · Physics 2009-11-10 Yurij Yaremko

We study 2d Ising Field Theory (IFT) in the low-temperature phase in lightcone quantization, and show that integrating out zero modes generates a very compact form for the effective lightcone interaction that depends on the finite volume…

High Energy Physics - Theory · Physics 2025-06-11 A. Liam Fitzpatrick , Emanuel Katz , Yuan Xin

We propose path integral description for quantum mechanical systems on compact graphs consisting of N segments of the same length. Provided the bulk Hamiltonian is segment-independent, scale-invariant boundary conditions given by…

High Energy Physics - Theory · Physics 2012-06-06 Satoshi Ohya

When an electromagnetic field is confined in a cavity of variable length, real photons may be generated from vacuum fluctuations due to highly nonadiabatic boundary conditions. The corresponding effective Hamiltonian is time-dependent and…

Quantum Physics · Physics 2023-09-29 I. Ramos-Prieto , R. Román-Ancheyta , F. Soto-Eguibar , J. Récamier , H. M. Moya-Cessa

The sectional curvature of a compact Riemannian manifold M can be seen as a random variable on the Grassmann bundle of 2-planes in TM endowed with the Fubini-Study volume density. In this article we calculate the moments of this random…

Differential Geometry · Mathematics 2017-07-21 Gregor Weingart

In the context of hybrid superconductor-semiconductor systems, Josephson junctions based on two-dimensional materials, such as graphene, offer promising opportunities because of their scalability and gate-tunable electronic properties. In…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 V. Varrica , G. Falci , E. Paladino , F. M. D. Pellegrino

We describe the irrotational dust component of the universe in terms of a relativistic gradient expansion and transform the resulting synchronous metric to a Newtonian coordinate system. The two metrics are connected via a space-like…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-06 Cornelius Rampf , Gerasimos Rigopoulos

Microcausality -- the vanishing of commutators outside the lightcone -- is a fundamental property of relativistic quantum field theories. We derive its implications for two-point functions of scalar operators on {\it Lorentz-breaking}…

High Energy Physics - Theory · Physics 2025-07-24 Lam Hui , Alberto Nicolis , Alessandro Podo , Shengjia Zhou

We consider a two-level system such as a two-level atom, interacting with a cavity field mode in the rotating wave approximation, when the atomic transition frequency or the field mode frequency is periodically driven in time. We show that…

In a recent proposal using the group field theory approach, a spatially homogeneous (generally anisotropic) universe is described as a quantum gravity condensate of "atoms of space," which allows the derivation of an effective cosmological…

General Relativity and Quantum Cosmology · Physics 2015-02-23 Steffen Gielen

Gravitational redshift is discussed in the context of quantum photons propagating in curved spacetime. A brief introduction to modelling realistic photons is first presented and the effect of gravity on the spectrum computed for photons…

The form factor that yields the light-by-light scattering contribution to the muon anomalous magnetic moment is computed in lattice QCD+QED and QED. A non-perturbative treatment of QED is used and is checked against perturbation theory. The…

High Energy Physics - Lattice · Physics 2015-01-14 Thomas Blum , Saumitra Chowdhury , Masashi Hayakawa , Taku Izubuchi

Periodically-modulated potentials in the form of light fields have previously been applied to induce reversible phase transitions in dilute colloidal systems with long-range interactions. Here we investigate whether similar transitions can…

Soft Condensed Matter · Physics 2009-11-13 Matthew C. Jenkins , Stefan U. Egelhaaf

Quantum mechanics in the presence of $\delta$-function potentials is known to be plagued by UV divergencies which result from the singular nature of the potentials in question. The standard method for dealing with these divergencies is by…

High Energy Physics - Theory · Physics 2007-05-23 Alexandr Yelnikov

Finite-dimensional non-canonical Hamiltonian systems arise naturally from Hamilton's principle in phase space. We present a method for deriving variational integrators that can be applied to perturbed non-canonical Hamiltonian systems on…

Mathematical Physics · Physics 2014-05-08 J. W. Burby , C. L. Ellison , H. Qin

We consider perturbation defects obtained by perturbing a 2D conformal field theory (CFT) by a relevant operator on a half-plane. If the perturbed bulk theory flows to an infrared fixed point described by another CFT, the defect flows to a…

High Energy Physics - Theory · Physics 2014-07-25 Anatoly Konechny , Cornelius Schmidt-Colinet

Light-Front quantization is one of the most promising and physical tools towards studying deep inelastic scattering on the basis of quark gluon degrees of freedom. The simplified vacuum structure (nontrivial vacuum effects can only appear…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Burkardt

We derive dynamical, real time radiation reaction effects from lightfront QED. Combining the Hamiltonian formalism with a plane wave background field, the calculation is performed in the Furry picture for which the background is treated…

High Energy Physics - Theory · Physics 2014-12-12 Anton Ilderton , Greger Torgrimsson

In this note we address the exact solutions of a time-dependent Hamiltonian composed by an oscillator-like interaction with both a frequency and a mass term that depend on time. The latter is achieved by constructing the appropriate point…

Quantum Physics · Physics 2020-02-26 Kevin Zelaya , Véronique Hussin