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The complex time WKB (CWKB) approximation has been an effective technique to understand particle production in curved as well as in flat spacetime. Earlier we obtained the standard results on particle production in time dependent gauge in…

Astrophysics · Physics 2015-06-24 S. Biswas , B. Modak , A. Shaw

A detailed study of the semiclassical expansion of the world line path integral for a charged relativistic particle in a constant external electric field is presented. We show that the Schwinger formula for charged particle pair production…

High Energy Physics - Theory · Physics 2017-10-11 James Gordon , Gordon W. Semenoff

This paper discusses particle production in Schwarzchild-like spacetimes and in an uniform electric field. Both problems are approached using the method of complex path analysis. Particle production in Schwarzchild-like spacetimes with a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. Srinivasan , T. Padmanabhan

We present a simple proof that the imaginary part of the world-line path integral which computes the rate of Schwinger pair production of charged particles in a constant electric field, is given exactly by the semiclassical WKB limit.

High Energy Physics - Theory · Physics 2017-10-11 James Gordon , Gordon W. Semenoff

Besides tunneling in static potential landscapes, for example, the Wentzel-Kramers-Brillouin (WKB) approach is a powerful nonperturbative approximation tool to study particle creation due to time-dependent background fields, such as…

High Energy Physics - Theory · Physics 2019-07-03 Johannes Oertel , Ralf Schützhold

In this paper we have studied the problem of scalar particles pair creation by a constant electric field in the presence of a minimal length. A closed expression for the corresponding Green's function is obtained via path integral approach.…

General Relativity and Quantum Cosmology · Physics 2022-08-26 M. Bouali , S. Haouat

In this work we present the results of calculation of the electric field distribution in the inhomogeneous media based on the generalized WKB method. In this approach the field is represented as the sum of two components, one of which is…

Optics · Physics 2024-12-05 M. I. Ayzatsky

The pair production of scalar particles in electromagnetic background fields is analyzed using real proper time formulation of 1-loop effective action. After explaining how real proper time formulation keeps unitarity of the particle…

High Energy Physics - Theory · Physics 2023-09-12 Cihan Pazarbaşı

A quantum kinetic equation has been derived for the description of pair production in a time-dependent homogeneous electric field $E(t)$. As a source term, the Schwinger mechanism for particle creation is incorporated. Possible particle…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. A. Smolyansky , G. Roepke , S. Schmidt , D. Blaschke , V. D. Toneev , A. V. Prozorkevich

A quantum kinetic equation is derived for the description of pair production in a time-dependent homogeneous electric field $E(t)$. As a source term, the Schwinger mechanism for particle creation is incorporated. Possible particle…

High Energy Physics - Phenomenology · Physics 2015-06-25 S. Schmidt , D. Blaschke , G. Röpke , S. A. Smolyansky , A. V. Prozorkevich , V. D. Toneev

This paper presents a critical review of particle production in an uniform electric field and Schwarzchild-like spacetimes. Both problems can be reduced to solving an effective one-dimensional Schrodinger equation with a potential barrier.…

General Relativity and Quantum Cosmology · Physics 2016-08-31 K. Srinivasan , T. Padmanabhan

The Bogoliubov transformation in cosmological particle production can be explained by the Stokes phenomena of the corresponding ordinary differential equation. The calculation becomes very simple as far as the solution is described by a…

High Energy Physics - Phenomenology · Physics 2022-07-27 Seishi Enomoto , Tomohiro Matsuda

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

In this paper we investigate the phenomenon of particle production of massles scalar field, in a model of spacetime where the chronology horizon could be formrd, using the method of complex time WKB approximation (CWKB). For the purpose, we…

General Relativity and Quantum Cosmology · Physics 2021-10-20 S. Biswas , P. Misra , I. Chowdhury

Spontaneous pair production from background fields or spacetimes is one of the most prominent phenomena predicted by quantum field theory. The Schwinger mechanism of production of charged pairs by a strong electric field and the Hawking…

High Energy Physics - Theory · Physics 2016-11-28 Sang Pyo Kim

Analysis of the WKB exactness in some homogeneous spaces is attempted. $CP^N$ as well as its noncompact counterpart $D_{N,1}$ is studied. $U(N+1)$ or U(N,1) based on the Schwinger bosons leads us to $CP^N$ or $D_{N,1}$ path integral…

High Energy Physics - Theory · Physics 2010-11-01 Kunio Funahashi , Taro Kashiwa , Seiji Sakoda , Kazuyuki Fujii

We discuss several aspects of particle production in: (a) time dependent electric field and (b) expanding Friedmann background. In the first part of the paper, we provide an algebraic mapping between the differential equations describing…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Karthik Rajeev , Sumanta Chakraborty , T. Padmanabhan

We present universal formulas for particle production from gravitational inhomogeneities. In the massless limit the result is strikingly simple and completely determined by the two-point function of the energy-momentum tensor that is fixed…

High Energy Physics - Theory · Physics 2025-03-03 Raghuveer Garani , Michele Redi , Andrea Tesi

This paper discusses how particle production from the vacuum can be explained by local analysis when the field theory is defined by differential geometry on curved manifolds. We have performed the local analysis in a mathematically rigorous…

High Energy Physics - Theory · Physics 2025-07-25 Tomohiro Matsuda

In this paper we revisit the one-dimensional tunneling problem. We consider Kemble's approximation for the transmission coefficient. We show how this approximation can be extended to above-barrier energies by performing the analytical…

Nuclear Theory · Physics 2017-03-22 A. J. Toubiana , L. F. Canto , M. S. Hussein
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