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A simple translation between a standard representation of $\mathfrak{sl}_2\mathbb{C}$ and the complex-quaternions ($\mathbb{H}\otimes_\mathbb{R}\mathbb{C}$) is established and exploited to construct a novel hyper-complex description of the…

Quantum Physics · Physics 2026-04-21 James Henry Atwater , David Lambert , Yuri Rostovtsev

We consider the details of the QED processes that create electron-positron pairs in magnetic fields approaching and exceeding 10^{14} G. The formation of free and bound pairs is addressed, and the importance of positronium dissociation by…

Astrophysics · Physics 2009-11-13 Christopher Thompson

Electron-positron pair production for inhomogeneous electric and magnetic fields oscillating in space and time is investigated. By employing accurate numerical methods (Furry-picture quantization and quantum kinetic theory), final particle…

High Energy Physics - Phenomenology · Physics 2020-06-23 Ivan A. Aleksandrov , Christian Kohlfürst

The Pauli--Villars regularization procedure confirms and sharpens the conclusions reached previously by covariant point splitting. The divergences in the stress tensor of a quantized scalar field interacting with a static scalar potential…

High Energy Physics - Theory · Physics 2018-03-07 S. A. Fulling , T. E. Settlemyre , K. A. Milton

In general relativity and electrodynamics fields are always generated from static monopoles (like mass or electric charge) or their corresponding currents by surrounding them in a spherical configuration. We investigate a generation of…

High Energy Physics - Theory · Physics 2007-05-23 Michael L. Schmid

We briefly review general concepts of renormalization in quantum field theory and discuss their application to solutions of integral equations with singular potentials in the few-nucleon sector of the low-energy effective field theory of…

Nuclear Theory · Physics 2020-05-28 E. Epelbaum , A. M. Gasparyan , J. Gegelia , Ulf-G. Meißner , X. -L. Ren

Particle--anti-particle interpretation under spatially inhomogeneous external fields within the framework of quantum field theory is a nontrivial problem. In this paper, we focus on the two interpretations established in [Phys. Rev. D 93,…

High Energy Physics - Theory · Physics 2025-10-01 Makoto Ochiai

The Klein-Gordon and Dirac equation for a massive charged field in a uniform electric field has a symmetry of two-dimensional global de Sitter (dS) and anti-de Sitter (AdS) space. In the in-out formalism the mean numbers of spinors…

High Energy Physics - Theory · Physics 2026-01-08 Chiang-Mei Chen , Chun-Chih Huang , Sang Pyo Kim , Kuan-Yen Lin

Electron pairing in one-dimensional binary Hubbard chains is studied for different values of the band-filling using the Density Matrix Renormalization Group method. The systems consist of linear arrays of sites with two types of on-site…

Strongly Correlated Electrons · Physics 2015-05-18 Y. Arredondo , O. Navarro

The common tunneling picture of electron-positron pair creation in a strong electric field is generalized to pair creation in combined crossed electric and magnetic fields. This enhanced picture, being symmetric for electrons and positrons,…

Quantum Physics · Physics 2015-03-20 Anton Wöllert , Michael Klaiber , Heiko Bauke , Christoph H. Keitel

Electron-positron pair production is investigated in spatial inhomogeneous electric fields with high or/and low central frequency as well as sinusoidal phase modulation. It is found that the momentum spectrum (the reduced particle number)…

High Energy Physics - Phenomenology · Physics 2023-02-22 Li-Na Hu , Orkash Amat , Lie-Juan Li , Melike Mohamedsedik , B. S. Xie

Exact analytic solutions are found for the Dirac equation in 2+1 dimensions for a spin-one-half particle in a combination of the Lorentz 3-vector and scalar Coulomb as well as Aharonov--Bohm potentials. We employ the two-component Dirac…

High Energy Physics - Theory · Physics 2008-12-16 V. R. Khalilov , Choon-Lin Ho

We compute the renormalon ambiguity of the static potential, in the limit of a large number of flavors. An extrapolation of the QED result to QCD implies that the large distance behavior of the quark potential is arbitrary in perturbation…

High Energy Physics - Phenomenology · Physics 2016-09-01 Ugo Aglietti , Zoltan Ligeti

Duality is an indispensable tool for describing the strong-coupling dynamics of gauge theories. However, its actual realization is often quite subtle: quantities such as the partition function can transform covariantly, with degrees of…

High Energy Physics - Theory · Physics 2017-08-16 William Donnelly , Ben Michel , Aron Wall

Altermagnetism has so far mainly been understood in its even- and odd-parity forms. We show that collinear antiferromagnets with zero net magnetization can also host mixed-parity spin splitting, namely neither purely even nor purely odd in…

Mesoscale and Nanoscale Physics · Physics 2026-05-07 Zheng-Yang Zhuang , Jin-Xin Hu , Song-Bo Zhang , Lun-Hui Hu , Zhongbo Yan

We investigate pair creation by an electric field in four-dimensional de Sitter space. The expectation value of the induced current is computed, using the method of adiabatic regularization. Under strong electric fields the behavior of the…

High Energy Physics - Theory · Physics 2014-11-06 Takeshi Kobayashi , Niayesh Afshordi

Perturbation series in quantum field theory are generally divergent asymptotic series which are also typically not Borel resummable in the sense that the resummed series is ambiguous. The ambiguity is associated with singularities in the…

High Energy Physics - Theory · Physics 2013-05-30 Philip Argyres , Mithat Unsal

Real-time quantum simulation of quantum field theory in (3+1)D requires large quantum computing resources. With a few-qubit quantum computer, we develop a novel algorithm and experimentally study the Schwinger effect, the electron-positron…

Quantum Physics · Physics 2022-12-28 Bin Xu , Wei Xue

We demonstrate our simple strategy for renormalization with QED at one-loop level, basing on an elaboration of the effective field theory philosophy. No artificial regularization or deformation of the original theory is introduced here and…

High Energy Physics - Theory · Physics 2014-11-20 Ji-Feng Yang , Zhao-Ting Pan

We introduce and analyze a variational wave function for quasi two-dimensional kappa-ET organic salts containing strong local and nonlocal correlation effects. We find an unconventional superconducting ground state for intermediate charge…

Strongly Correlated Electrons · Physics 2009-11-10 Jun Liu , Joerg Schmalian , Nandini Trivedi