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The Schwinger mechanism, the production of charged particle-antiparticle pairs in a macroscopic external electric field, is derived for 2+1 dimensional theories. The rate of pair production per unit area for four species of massless…

Mesoscale and Nanoscale Physics · Physics 2009-02-23 Danielle Allor , Thomas D. Cohen , David A. McGady

The particle production in a de Sitter space provides an interesting model to understand the curvature effect on Schwinger pair production by a constant electric field or Schwinger mechanism on the de Sitter radiation. For that purpose, we…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Sang Pyo Kim

We employ a self consistent framework to study the backreaction effects of particle creation in the coupled semiclassical dynamics of a quantum complex scalar field and a classical electric field in both (1 + 1) and (1 + 3) dimensional…

High Energy Physics - Theory · Physics 2025-09-26 Shagun Kaushal , Suprit Singh

In previous work on Schwinger pair creation in purely time-dependent fields, it was shown how to construct ``solitonic'' electric fields that do not create scalar pairs with an arbitrary fixed momentum. We show that this construction can be…

High Energy Physics - Theory · Physics 2023-09-01 Naser Ahmadiniaz , Alexander M. Fedotov , Evgeny G. Gelfer , Sang Pyo Kim , Christian Schubert

We solve the time evolution of the density matrix both for fermions and bosons in the presence of a homogeneous but time dependent external electric field. The number of particles produced by the external field, as well as their…

High Energy Physics - Theory · Physics 2009-10-28 Joakim Hallin , Per Liljenberg

We semiclassically investigate Schwinger pair production for pulsed rotating electric fields depending on time. To do so we solve the Dirac equation for two-component fields in a WKB-like approximation. The result shows that for…

High Energy Physics - Theory · Physics 2015-03-05 Eckhard Strobel , She-Sheng Xue

We formulate a stochastic generalisation of the Schwinger effect, extending pair production to statistically fluctuating gauge-field backgrounds. Our approach captures realistic field configurations that are transient, inhomogeneous, and…

High Energy Physics - Theory · Physics 2026-03-11 Lucas Vicente García-Consuegra , Azadeh Maleknejad

In this paper, we aim to extend to interacting massive and massless fermionic theories the recent perturbative construction of equilibrium states developed within the framework of perturbative algebraic quantum field theory on Lorentzian…

Mathematical Physics · Physics 2025-02-26 Stefano Galanda

We study the Schwinger mechanism for the pair production of fermions in the presence of an arbitrary time-dependent background electric field E(t) by directly evaluating the path integral. We obtain an exact non-perturbative result for the…

High Energy Physics - Theory · Physics 2007-05-23 Fred Cooper , Gouranga C. Nayak

The influence of an external constant uniform magnetic field on the Casimir energy density of a Dirac field under antiperiodic (and periodic) boundary condition is computed by applying Schwinger's proper time method. The result thus…

High Energy Physics - Theory · Physics 2007-05-23 M. V. Cougo-Pinto , C. Farina , A. C. Tort

We discuss the Schwinger pair creation process for the system of massless Dirac fermions in the presence of constant external magnetic and electric fields. The pair production rate remains finite unlike the vacuum decay rate. In the…

Mesoscale and Nanoscale Physics · Physics 2016-12-28 R. A. Abramchuk , M. A. Zubkov

In the framework of QED with a strong background, we study particle creation (the Schwinger effect) by a time-dependent inverse square electric field. To this end corresponding exact in- and out-solutions of the Dirac and Klein-Gordon…

High Energy Physics - Theory · Physics 2019-01-08 T. C. Adorno , S. P. Gavrilov , D. M. Gitman

Interactions between different bound states in bosonic systems can lead to pair creation. We study this process in detail by solving the Klein-Gordon equation on space-time grids in the framework of time-dependent quantum field theory. By…

Quantum Physics · Physics 2016-01-27 Q. Z. Lv , Heiko Bauke , Q. Su , C. H. Keitel , R. Grobe

We calculate by the proper-time method the amplitude of the two-photon emission by a charged fermion in a constant magnetic field in (2+1)-dimensional space-time. The relevant dynamics reduces to that of a supesymmetric quantum-mechanical…

High Energy Physics - Theory · Physics 2011-07-28 J. T. S. Amaral , S. I. Zlatev

In these lecture notes we give an introduction to the kinetic equation approach to pair production form the vacuum in strong, time-dependent external fields (dynamical Schwinger process). We first give a derivation of the kinetic equation…

High Energy Physics - Phenomenology · Physics 2017-04-14 D. B. Blaschke , S. A. Smolyansky , A. Panferov , L. Juchnowski

Schwinger pair creation in a purely time-dependent electric field can be reduced to an effective quantum mechanical problem using a variety of formalisms. Here we develop an approach based on the Gelfand-Dikii equation for scalar QED, and…

High Energy Physics - Theory · Physics 2022-06-01 Naser Ahmadiniaz , Sang Pyo Kim , Christian Schubert

Understanding the behavior of interacting fermions is of fundamental interest in many fields ranging from condensed matter to high energy physics. Developing numerically efficient and accurate simulation methods is an indispensable part of…

Strongly Correlated Electrons · Physics 2017-08-03 Shainen M. Davidson , Dries Sels , Anatoli Polkovnikov

In this proceeding we consider a massive charged scalar field in a uniform electric field background in a de~Sitter spacetime (dS). We compute the in-vacuum expectation value of the trace of the energy-momentum tensor for the created…

High Energy Physics - Theory · Physics 2019-09-23 Ehsan Bavarsad , Sang Pyo Kim , Clément Stahl , She-Sheng Xue

We study a massive scalar field theory in de Sitter space. Using worldline instanton approach, we calculate probability of pair production in weak-field limit. In addition to exponential factor we derive pre-exponential factor. Within this…

High Energy Physics - Phenomenology · Physics 2015-06-18 Sergey Guts

We investigate particle production \`a la Schwinger mechanism in an expanding, flat de Sitter patch as is relevant for the inflationary epoch of our universe. Defining states and particle content in curved spacetime is certainly not a…

General Relativity and Quantum Cosmology · Physics 2017-09-11 Ramkishor Sharma , Suprit Singh