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In the effective field theory approach to gravity, the Lagrangian density for general relativity is supplemented by generally covariant terms of higher order in the Riemann tensor and its derivatives. At face value, these terms will result…

General Relativity and Quantum Cosmology · Physics 2024-09-25 Dražen Glavan , Shinji Mukohyama , Tom Zlosnik

We evaluate for the inhomogeneous static electric Sauter step potential the imaginary part of the emerging homogeneous in electric field effective Euler-Heisenberg-Schwinger action sourced by vacuum fluctuations of a charged particle with…

High Energy Physics - Phenomenology · Physics 2022-05-30 Stefan Evans , Johann Rafelski

In a four dimensional theory of gravity with lagrangian quadratic in curvature and torsion, we compute the effective action for metrics of the form $g_{\mu\nu}=\rho^2\delta_{\mu\nu}$, with $\rho$ constant. Using standard field-theoretic…

High Energy Physics - Theory · Physics 2009-10-22 R. Floreanini , R. Percacci

We present a reconstruction of the Lagrangian for $f(R)$ gravity by using a massive scalar field. The scalar field is minimally coupled to the action of $f(R)$ gravity. We demonstrate the use of a theorem based on invertible point…

General Relativity and Quantum Cosmology · Physics 2020-02-06 Soumya Chakrabarti , Kazuharu Bamba , Jackson Levi Said

We obtain the effective action of four dimensional quantum gravity, induced by N massless matter fields, by integrating the RG flow of the relative effective average action. By considering the leading approximation in the large N limit,…

General Relativity and Quantum Cosmology · Physics 2012-12-18 A. Codello

We study the effective Lagrangian, at leading order in derivatives, that describes the propagation of density and metric fluctuations in a fluid composed by an arbitrary number of interacting components. Our results can be applied to any…

High Energy Physics - Theory · Physics 2014-06-05 Guillermo Ballesteros , Brando Bellazzini , Lorenzo Mercolli

The Euler-Heisenberg effective Lagrangian is used to obtain general expressions for electric and magnetic fields induced by non-linearity, to leading order in the non-linear expansion parameter, and for quasistatic situations. These…

High Energy Physics - Phenomenology · Physics 2015-05-13 C. A. Dominguez , H. Falomir , M. Ipinza , M. Loewe , J. C. Rojas

In this work we use momentum-space techniques to evaluate the propagator $G(x,x^{\prime})$ for a spin $1/2$ mass dimension one spinor field on a curved Friedmann-Robertson-Walker spacetime. As a consequence, we built the one-loop correction…

High Energy Physics - Theory · Physics 2018-02-27 R. J. Bueno Rogerio , J. M. Hoff da Silva , M. Dias , S. H. Pereira

We explore a novel way of deriving the effective Higgs Lagrangian from strongly interacting vector-like gauge theories. We consider the N=1 supersymmetric extension of gauge theories and interpret the auxiliary field associated with the low…

High Energy Physics - Theory · Physics 2007-05-23 N. Kitazawa , F. Sannino

We calculate the divergent part of the one-loop effective action for $f(R)$ gravity on an arbitrary background manifold. Our result generalizes previous results for quantum corrections in $f(R)$ gravity, which have been limited to spaces of…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Michael S. Ruf , Christian F. Steinwachs

We identify an unusual new gauge-gravity relation: the one-loop effective action for a massive spinor in 2n dimensional AdS space is expressed in terms of precisely the same function [a certain multiple gamma function] as the one-loop…

High Energy Physics - Theory · Physics 2010-04-23 Gokce Basar , Gerald V. Dunne

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 derive the one-loop effective action for scalar, pseudoscalar, and electromagnetic fields coupled to a Dirac fermion in an extension of QED with Yukawa couplings. Using the Schwinger proper-time formalism and zeta-function…

High Energy Physics - Theory · Physics 2018-09-20 Theodore N. Jacobson , Tonnis ter Veldhuis

We compute the effective action of QED at one loop order for an electric field which points in the $\hat{z}$ direction and depends arbitrarily upon the light cone time coordinate, $x^+ = (x^0 + x^3)/\sqrt{2}$. This calculation generalizes…

High Energy Physics - Theory · Physics 2009-11-07 H. M. Fried , R. P. Woodard

We discuss the limitations of the covariant derivative expansion prescription advocated to compute the one-loop Standard Model (SM) effective lagrangian when the heavy fields couple linearly to the SM. In particular, one-loop contributions…

High Energy Physics - Phenomenology · Physics 2016-05-25 Francisco del Aguila , Zoltan Kunszt , Jose Santiago

We present a quantum field theoretical analysis of a $\nu = 1$ quantum Hall system when the effective Land\'e $g$ factor is small. We clearly demonstrate that the ground state of the system is ferromagnetic. We note that it is the short…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Rashmi Ray , Joan Soto

We consider a theory of massless reduced quantum electrodynamics (RQED$_{d_\gamma,d_e}$), e.g., a quantum field theory where the U(1) gauge field lives in $d_\gamma$-spacetime dimensions while the fermionic field lives in a reduced…

High Energy Physics - Phenomenology · Physics 2012-11-12 S. Teber

Gravity and general relativity are considered as an Effective Field Theory at low energies and macroscopic distances. The effective action of the conformal anomaly of light or massless quantum fields has significant effects on macroscopic…

High Energy Physics - Theory · Physics 2023-02-20 Emil Mottola

We consider an extended theory of gravity with Lagrangian $\mathcal{L} = f(R,{\bf T}^{(n)})$, with ${\bf T}^{(n)}$ being a $2n$-th order invariant made of contractions of the energy-momentum tensor. When $n=1$ this theory reduces to…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Habib Abedi , Francesco Bajardi , Salvatore Capozziello

Through an explicit calculation for a Lagrangian in quantum electrodynamics in (2+1)-space--time dimensions (QED$_3$), making use of the relativistic Kubo formula, we demonstrate that the filling factor accompanying the quantized electrical…

High Energy Physics - Theory · Physics 2008-11-26 Alfredo Raya , Edward D. Reyes