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We continue an effort to obtain information on the QED perturbation series at high loop orders, and particularly on the issue of large cancellations inside gauge invariant classes of graphs, using the example of the l - loop N - photon…

High Energy Physics - Theory · Physics 2011-01-28 I. Huet , D. G. C. McKeon , C. Schubert

In this paper we study a system which we propose as a model to describe the interaction between matter and electromagnetic field from a dualistic point of view. This system arises from a suitable coupling of the Schr\"odinger and the…

Analysis of PDEs · Mathematics 2017-10-10 Antonio Azzollini , Alessio Pomponio , Gaetano Siciliano

It is argued that Weinberg's approach to the nucleon-nucleon (NN) interaction problem within effective field theory provides a consistent power counting for renormalized diagrams. Within this scheme the NN potential is organized as an…

Nuclear Theory · Physics 2009-11-10 J. Gegelia , S. Scherer

A rigorous derivation of the density functional in the Hohenberg-Kohn theory is presented. With no assumption regarding the magnitude of the electric coupling constant $e^2$ (or correlation), this work provides a firm basis for…

Other Condensed Matter · Physics 2010-09-20 Yi-Kuo Yu

In vacuum high-intensity lasers can cause photon-photon interaction via the process of virtual vacuum polarization which may be measured by the phase velocity shift of photons across intense fields. In the optical frequency domain, the…

High Energy Physics - Phenomenology · Physics 2015-05-27 Kensuke Homma , Dieter Habs , Toshiki Tajima

We investigate photon merging and splitting processes in inhomogeneous, slowly varying electromagnetic fields. Our study is based on the three-photon polarization tensor following from the Heisenberg-Euler effective action. We put special…

High Energy Physics - Phenomenology · Physics 2016-04-28 Holger Gies , Felix Karbstein , Nico Seegert

We calculate the one-photon loop radiative corrections to the charged pion-pair production process $\pi^-\gamma\to\pi^+\pi^-\pi^-$. In the low-energy region this reaction is governed by the chiral pion-pion interaction. The pertinent set of…

High Energy Physics - Phenomenology · Physics 2015-06-18 N. Kaiser , S. Petschauer

This paper presents the derivation of Schwinger's gauge invariant result of $Im \cal{L}_{eff}$ upto one loop approximation, for particle production in an uniform electric field through the method of complex trajectory WKB approximation…

General Relativity and Quantum Cosmology · Physics 2016-12-21 S. Biswas , A. Shaw , B. Modak

We propose a new method that by using the lattice Schr\"odinger functional allows to investigate the effective action for external background fields in lattice gauge theories. We show that this method gives sensible results for the case of…

High Energy Physics - Lattice · Physics 2009-10-28 P. Cea , L. Cosmai , A. D. Polosa

We calculate the effective potentials for scalar, Dirac and Yang-Mills fields in curved backgrounds using a new method for the determination of the heat kernel involving a re-summation of the Schwinger-DeWitt series. Self-interactions are…

High Energy Physics - Theory · Physics 2008-02-03 Frank Antonsen , Karsten Bormann

We consider the effective field theory of the NN system in a separable representation. The pionic part of the effective potential is included nonperturbatively and approximated by a separable potential. The use of a separable representation…

High Energy Physics - Phenomenology · Physics 2015-06-25 B. Krippa , B. L. G. Bakker

We apply the string inspired worldline formalism to the calculation of the higher derivative expansion of one-loop effective actions in non-Abelian gauge theory. For this purpose, we have completely computerized the method, using the…

High Energy Physics - Theory · Physics 2009-10-30 D. Fliegner , P. Haberl , M. G. Schmidt , C. Schubert

We calculate the one-photon loop radiative corrections to virtual pion Compton scattering $\pi^- \gamma^* \to \pi^- \gamma$, that subprocess which determines in the one-photon exchange approximation the pion-nucleus bremsstrahlung reaction…

High Energy Physics - Phenomenology · Physics 2009-02-19 N. Kaiser , J. M. Friedrich

We find the Bogoliubov coefficient from the tunneling boundary condition on a charged particle coupled to a static electric field $E_0 sech^2 (z/L)$ and, using the regularization scheme in Phys. Rev. D 78, 105013 (2008), obtain the exact…

High Energy Physics - Theory · Physics 2014-11-20 Sang Pyo Kim , Hyun Kyu Lee , Yongsung Yoon

We apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of $6D$, ${\cal N}=(1,0)$ supersymmetric higher-derivative gauge theory with a dimensionless coupling constant. Our consideration…

High Energy Physics - Theory · Physics 2020-08-05 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

We applied the method of finite-part integration [Galapon E.A Proc.R.Soc A 473, 20160567(2017)] to evaluate in closed-form the exact one-loop integral representations of the Heisenberg-Euler Lagrangian from QED for a constant electric field…

Mathematical Physics · Physics 2024-10-29 Christian D. Tica , Eric A. Galapon

In this paper we continue and improve the analysis of the effective actions obtained by integrating out a scalar and a fermion field coupled to external symmetric sources, started in the previous paper. The first subject we study is the…

High Energy Physics - Theory · Physics 2018-02-14 L. Bonora , M. Cvitan , P. Dominis Prester , S. Giaccari , T. Štemberga

We describe a real-space approach to the calculation of the properties of an insulating crystal in an applied electric field, based on the iterative determination of the Wannier functions (WF's) of the occupied bands. It has been recently…

Condensed Matter · Physics 2009-10-22 R. W. Nunes , David Vanderbilt

We present an exact, analytic solution of the spin dependent quantum transport problem with spin-orbit interaction in a one-dimensional mesoscopic ring with one input and two output leads. We demonstrate that for appropriate parameters…

Quantum Physics · Physics 2008-01-24 Orsolya Kalman , Peter Foldi , Mihaly G. Benedict , F. M. Peeters

It is explained how first-quantized worldline path integrals can be used as an efficient alternative to Feynman diagrams in the calculation of QED amplitudes and effective actions. The examples include the one-loop photon splitting…

High Energy Physics - Phenomenology · Physics 2007-05-23 Christian Schubert