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We study certain four-graviton amplitudes in exceptional field theory in dimensions $D\geq 4$ up to two loops. As the formulation is manifestly invariant under the U-duality group $E_{11-D}(\mathbb{Z})$, our resulting expressions can be…

High Energy Physics - Theory · Physics 2017-12-11 Guillaume Bossard , Axel Kleinschmidt

In this paper, we present a new method to calculate the n-Loop n-particle irreducible effective action. The key is an organizational trick that involves the introduction of a set of fictitious bare vertices that are set to zero at the end…

High Energy Physics - Phenomenology · Physics 2012-04-20 M. E. Carrington , Yun Guo

We consider Einstein-Maxwell-self-interacting scalar field theory described by a potential $V\left( \phi \right) $ in $2+1-$dimensions. The self-interaction potential is chosen to be a highly non-linear double-Liouville type. Exact…

General Relativity and Quantum Cosmology · Physics 2015-08-03 S. Habib Mazharimousavi , M. Halilsoy

We derive an effective equation and action for the propagation of gravitational waves (GW), encoding the effects of interaction and self-interaction in a time, frequency and polarization dependent effective speed. In terms of an…

General Relativity and Quantum Cosmology · Physics 2024-03-22 Antonio Enea Romano

We study the effective interactions of external electromagnetic fields induced by fluctuations of virtual particles in the vacuum of quantum electrodynamics. Our main focus is on these interactions at two-loop order. We discuss in detail…

High Energy Physics - Theory · Physics 2022-06-02 Holger Gies , Felix Karbstein

Within the effective average action approach to quantum gravity, we recover the low energy effective action as derived in the effective field theory framework, by studying the flow of possibly non-local form factors that appear in the…

High Energy Physics - Theory · Physics 2014-11-21 A. Satz , A. Codello , F. D. Mazzitelli

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 provide universal expressions for the classical piece of the amplitude given by the graviton/photon exchange between massive particles of arbitrary spin, at both tree and one loop level. In the gravitational case this leads to higher…

High Energy Physics - Theory · Physics 2021-10-20 Alfredo Guevara

By integrating out the heavy fields in type II or heterotic string field theory one can construct the effective action for the light fields. This effective theory inherits all the algebraic structures of the parent theory and the effective…

High Energy Physics - Theory · Physics 2017-03-08 Ashoke Sen

Photon-graviton conversion in an electromagnetic field is a well-known prediction of Einstein-Maxwell theory. First discussed at tree-level by Gertsenshtein in 1962, more recently it has been shown to lead to magnetic dichroism starting…

High Energy Physics - Theory · Physics 2026-02-02 Naser Ahmadiniaz , Fiorenzo Bastianelli , Felix Karbstein und Christian Schubert

Several investigations show that in a very small length scale there exists corrections to the entropy of black hole horizon. Due to fluctuations of the background metric and the external fields the action incorporates corrections. In the…

General Relativity and Quantum Cosmology · Physics 2014-05-21 Bibhas Ranjan Majhi , Sumanta Chakraborty

In this note we derive an explicit modular invariant formula for the two loop 4-point amplitude in superstring theory in terms of a multiple integral (7 complex integration variables) over the complex plane which is shown to be convergent.…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Iengo , Chuan-Jie Zhu

One loop effects due to virtual gauge field propagation in 2+1 dimensional Born-Infeld theory are investigated. Although this field theory model is not power counting renormalizable, it can be consistently interpreted as an effective field…

High Energy Physics - Theory · Physics 2009-10-31 C. Fosco , F. A. Schaposnik

We calculate the effective action in Yang-Mills and scalar \phi^4 quantum field theory with quantized scale invariant metric treated non-perturbatively in d=4 dimensions. There is no charge renormalization in the one-loop order for matter…

High Energy Physics - Theory · Physics 2007-05-23 Z. Haba

We discuss applications of the proper-time method in various minimal Lorentz violating modifications of QED and present new results obtained with its use. Explicitly. we calculate the complete one-loop Heisenberg-Euler effective action…

High Energy Physics - Theory · Physics 2023-02-17 A. F. Ferrari , J. Furtado , J. F. Assunção , T. Mariz , A. Yu. Petrov

We work with $\phi^4$ theory and study the 4PI effective action at 3-loop order. We discuss the relationship between the equations of motion obtained by taking functional derivatives of the effective action with respect to the variational…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. E. Carrington

Sources of long wavelength radiation are naturally described by an effective field theory (EFT) which takes the form of a multipole expansion. Its action is given by a derivative expansion where higher order terms are suppressed by powers…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Andreas Ross

We revise the calculation of the one-loop effective action for scalar and spinor fields coupled to the dilaton in two dimensions. Applying the method of covariant perturbation theory for the heat kernel we derive the effective action in an…

High Energy Physics - Theory · Physics 2016-09-06 Yu. V. Gusev , A. I. Zelnikov

We calculate the complete one-loop effective action for a spherical scalar field collapse in the large radius approximation. This action gives the complete trace anomaly, which beside the matter loop contributions, receives a contribution…

High Energy Physics - Theory · Physics 2009-01-16 A. Mikovic , V. Radovanovic

We use effective field theory (EFT) to calculate the scattering amplitude of a LIGO-like graviton-scalar Compton interaction. We gauge the center-of-momentum energy $\sqrt{s}$ between one gravitational-wave (GW) graviton (one quantum of the…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Noah M. MacKay
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