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Strassler's formulation of the string-derived Bern-Kosower formalism is extended to consider QED processes in homogeneous constant external field. A compact expression for the contribution of the one-loop with arbitrary number of external…

High Energy Physics - Theory · Physics 2009-10-28 R. Shaisultanov

We use the worldline path-integral approach to the Bern-Kosower formalism for developing a new algorithm for calculation of the sum of all diagrams with one spinor loop and fixed numbers of external and internal photons. The method is based…

High Energy Physics - Theory · Physics 2009-10-28 Michael G. Schmidt , Christian Schubert

In this paper the connection between standard perturbation theory techniques and the new Bern-Kosower calculational rules for gauge theory is clarified. For one-loop effective actions of scalars, Dirac spinors, and vector bosons in a…

High Energy Physics - Phenomenology · Physics 2009-07-09 Matthew J. Strassler

We derive a geometric representation of couplings between spin degrees of freedom and gauge fields within the worldline approach to quantum field theory. We combine the string-inspired methods of the worldline formalism with elements of the…

High Energy Physics - Theory · Physics 2009-11-11 Holger Gies , Jens Hammerling

We propose a multiloop generalization of the Bern-Kosower formalism, based on Strassler's approach of evaluating worldline path integrals by worldline Green functions. Those Green functions are explicitly constructed for the basic two-loop…

High Energy Physics - Theory · Physics 2009-10-28 M. G. Schmidt , C. Schubert

Using the Worldline formalism of QED we compute the two-loop effective action induced by a charged scalar, respectively spinor particle in a general constant electromagnetic field.

High Energy Physics - Theory · Physics 2011-09-13 Boris Körs , Michael G. Schmidt

We report on the status of the string-inspired world line path integral formalism, a recently developed powerful tool for the reorganisation of standard perturbative amplitudes in quantum field theory. The method is outlined and the present…

High Energy Physics - Theory · Physics 2007-05-23 Michael G. Schmidt , Christian Schubert

We apply the worldline formalism to the Grosse-Wulkenhaar model and obtain an expression for the one-loop effective action which provides an efficient way for computing Schwinger functions in this theory. Using this expression we obtain the…

High Energy Physics - Theory · Physics 2014-12-08 Sebastián Franchino Viñas , Pablo Pisani

We calculate field theory loop amplitudes by string methods, applied to half-maximal 4-point one-loop graviton amplitudes. Infrared divergences are regulated similarly to soft-collinear effective field theory (SCET): new mass scales are…

High Energy Physics - Theory · Physics 2026-03-31 Marcus Berg , Michael Haack , Yonatan Zimmerman

Based on the world-line formalism with a sewing method, we derive the Yang-Mills effective action in a form useful to generate the Bern-Kosower-type master formulae for gluon scattering amplitudes at the two-loop level. It is shown that…

High Energy Physics - Theory · Physics 2009-10-31 Haru-Tada Sato , Michael G. Schmidt

The higher derivative expansion of the one-loop effective action for an external scalar potential is calculated to order O(T**7), using the string-inspired Bern-Kosower method in the first quantized path integral formulation. Comparisons…

High Energy Physics - Phenomenology · Physics 2011-07-19 D. Fliegner , M. G. Schmidt , C. Schubert

We study the one loop effective action for a class of higher spin fields by using a first-quantized description. The latter is obtained by considering spinning particles, characterized by an extended local supersymmetry on the worldline,…

High Energy Physics - Theory · Physics 2015-04-10 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini

We use the worldline formalism for calculating the one-loop effective action for the Einstein-Maxwell background induced by charged scalars or spinors, in the limit of low energy and weak gravitational field but treating the electromagnetic…

High Energy Physics - Theory · Physics 2009-03-19 Fiorenzo Bastianelli , Jose Manuel Davila , Christian Schubert

Using the world-line method we resum the scalar one-loop effective action. This is based on an exact expression for the one-loop action obtained for a background potential and a Taylor expansion of the potential up to quadratic order in…

High Energy Physics - Theory · Physics 2015-06-26 Thomas Auer , Michael G. Schmidt , Claus Zahlten

The string-based Bern-Kosower rules provide an efficient way for obtaining parameter integral representations of the one-loop N - photon/gluon amplitudes involving a scalar, spinor or gluon loop, starting from a master formula and using a…

High Energy Physics - Theory · Physics 2015-06-12 Naser Ahmadiniaz , Christian Schubert , Victor M. Villanueva

We present a unified point of view on the different methods available in the literature to extract gauge theory renormalization constants from the low-energy limit of string theory. The Bern-Kosower method, based on an off-shell…

High Energy Physics - Theory · Physics 2008-11-26 P. Di Vecchia , A. Lerda , L. Magnea , R. Marotta

At 2-loop order, Feynman integrals in the Coulomb gauge are divergent over the internal energy variables. Nevertheless, it is known how to calculate the effective action provided that the external gluon fields are all transverse. We show…

High Energy Physics - Theory · Physics 2015-06-22 A. Andrasi , J. C. Taylor

We develop a method to compute the one-loop effective action of noncommutative U(1) gauge theory based on the bosonic worldline formalism, and derive compact expressions for N-point 1PI amplitudes. The method, resembling perturbative string…

High Energy Physics - Theory · Physics 2016-09-06 Youngjai Kiem , Yeonjung Kim , Cheol Ryou , Haru-Tada Sato

We demonstrate that the positive frequency modes for a complex scalar field in a constant electric field (Schwinger modes), in three different gauges, can be represented as exact Lorentzian worldline path integral amplitudes. Although the…

High Energy Physics - Theory · Physics 2021-11-23 Karthik Rajeev

We study pure noncommutative U(1) gauge theory representing its one-loop effective action in terms of a phase space worldline path integral. We write the quadratic action using the background field method to keep explicit gauge invariance,…

High Energy Physics - Theory · Physics 2015-11-26 Naser Ahmadiniaz , Olindo Corradini , Daniela D'Ascanio , Sendic Estrada-Jimenez , Pablo Pisani
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