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We use the behavior of the photon-photon scattering for photon energies $\omega$ less than the electron mass, $m_e$, to examine the implications of treating the Euler-Heisenberg Lagrangian as an effective field theory. Specifically, we…

High Energy Physics - Phenomenology · Physics 2009-10-30 Duane A. Dicus , Chung Kao , Wayne W. Repko

I present a pedagogical review of Heisenberg-Euler effective Lagrangians, beginning with the original work of Heisenberg and Euler, and Weisskopf, for the one loop effective action of quantum electrodynamics in a constant electromagnetic…

High Energy Physics - Theory · Physics 2016-11-23 Gerald V. Dunne

The subject of low energy photon-photon scattering is considered in arbitrary dimensional space-time and the interaction is widened to include scattering events involving an arbitrary number of photons. The effective interaction Lagrangian…

High Energy Physics - Theory · Physics 2008-11-26 A. Ritz , R. Delbourgo

We attempt to evaluate the effective Lagrangian for a classical background field interacting with the vacuum of two quantum fields. The integration of one of the quantum fields in general leads to a non-local term in the effective…

High Energy Physics - Theory · Physics 2007-05-23 K. V. Shajesh

We consider a self-interacting scalar field theory in a slowly varying gravitational background field. Using zeta-function regularization and heat-kernel techniques, we derive the one-loop effective Lagrangian up to second order in the…

High Energy Physics - Theory · Physics 2009-10-22 Klaus Kirsten , Guido Cognola , Luciano Vanzo

Effective Lagrangians were originally used only at the tree level as so-called phenomenological Lagrangians since they were in general non-renormalizable. Today they are treated as effective field theories valid below a characteristic…

High Energy Physics - Phenomenology · Physics 2009-10-30 Finn Ravndal

In this set of lectures I will present an elementary introduction to the uses of effective lagrangians in the electroweak interaction with emphasis in practical applications

High Energy Physics - Phenomenology · Physics 2007-05-23 Jose Wudka

I show that helicity plays an important role in the development of rules for computing higher loop effective Lagrangians. Specifically, the two-loop Heisenberg-Euler effective Lagrangian in quantum electrodynamics is remarkably simple when…

High Energy Physics - Theory · Physics 2017-08-23 Gerald V. Dunne

For a long time, it is believed that the light by light scattering is described properly by the Lagrangian density obtained by Heisenberg and Euler. Here, we present a new calculation which is based on the modern field theory technique. It…

High Energy Physics - Phenomenology · Physics 2015-03-19 Naohiro Kanda

Simple new relations are presented between the one-loop effective Lagrangians of spinor and scalar particles in constant curvature background fields, both electromagentic and gravitational. These relations go beyond the well-known cases for…

High Energy Physics - Theory · Physics 2015-03-14 Adolfo Huet

From general supergravity theory with unified gauge symmetry, we obtain the low-energy effective Lagrangian by taking the flat limit and integrating out the superheavy fields in model-independent manner. The scalar potential possesses some…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yoshiharu Kawamura

The low-energy light-by-light cross section as determined by the nonlinear Euler-Heisenberg QED Lagrangian is evaluated in the presence of constant magnetic fields in the center-of-mass system of the colliding photons. This cross section…

High Energy Physics - Phenomenology · Physics 2018-09-12 R. Baier , A. Rebhan , M. Wödlinger

In this work we make use of proper-time method to evaluate Schwinger effect in the presence of Lorentz-violating background fields. Specifically, we evaluate the one-loop effective Lagrangian in the presence of Lorentz-violating time-like…

High Energy Physics - Theory · Physics 2022-08-08 Rafael L. J. Costa , Rodrigo F. Sobreiro

These lectures introduce some of the basic ideas of effective field theories. The topics discussed include: relevant and irrelevant operators and scaling, renormalization in effective field theories, decoupling of heavy particles, power…

High Energy Physics - Phenomenology · Physics 2009-10-28 Aneesh V. Manohar

Motivated by past and recent analyses we critically re-examine the use of effective lagrangians in the literature to constrain new physics and to determine the `physics reach' of future experiments. We demonstrate that many calculations,…

High Energy Physics - Phenomenology · Physics 2010-11-01 C. P. Burgess , David London

In this work we study the low energy kaon-hyperon interaction considering effective chiral Lagrangians that include kaons, $\sigma$ mesons, hyperons and the corresponding resonances. We calculate the scattering amplitudes, and then the…

High Energy Physics - Phenomenology · Physics 2019-03-06 Marcelo G. L. Nogueira Santos , Celso C. Barros

We justify the feasibility of substituting a photon leg by a neutrino current in the Euler-Heisenberg Lagrangian to obtain an effective Lagrangian for the process $\gamma\nu\to\gamma\gamma \nu$ and its crossed reactions. We establish the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Abada , J. Matias , R. Pittau

We show that the nonlinear supersymmetric effective lagrangian can be used for model-independent parameterization of the light gravitino scattering amplitude at energies up to and above the soft supersymmetry-breaking masses. This provides…

High Energy Physics - Phenomenology · Physics 2014-11-17 Taekoon Lee , Guo-Hong Wu

The low-energy structure of hadrons can be described systematically using effective field theory, and the parameters of the effective theory can be determined from lattice QCD computations. Recent work, however, points to inconsistencies…

High Energy Physics - Phenomenology · Physics 2014-03-26 Jong-Wan Lee , Brian C. Tiburzi

Taking into account the negative searches for New Physics at the LHC, electroweak effective theories are appropriate to deal with current energies. Tracks of new, higher scales can be studied through next-to leading order corrections of the…

High Energy Physics - Phenomenology · Physics 2017-10-19 Ignasi Rosell , Claudius Krause , Antonio Pich , Joaquín Santos , Juan José Sanz-Cillero
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