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We calculate the divergent part of the one-loop effective action in curved spacetime for a particular class of second-order vector field operators with a degenerate principal part. The principal symbol of these operators has the structure…

High Energy Physics - Theory · Physics 2018-10-24 Michael S. Ruf , Christian F. Steinwachs

In the framework of the effective field theory (EFT) we discuss the electroweak (EW) corrections at LEP energies. We obtain the effective Lagrangian in the large m_t limit, and reproduce analytically the dominant EW corrections to the LEP2…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Akhundov , J. Bernabeu , D. Gomez Dumm , A. Santamaria

We calculate one-loop corrections to the effective Lagrangian for the D3 brane. We perform the gauge-fixing of the kappa-symmetric Born-Infeld D3 brane action in the flat background using Killing gauge. The linearized supersymmetry of the…

High Energy Physics - Theory · Physics 2009-10-31 Marina Shmakova

The dimensionful nature of the coupling in the Einstein-Hilbert action in four dimensions implies that the theory is non-renormalizable; explicit calculation shows that beginning at two loop order, divergences arise that cannot be removed…

High Energy Physics - Theory · Physics 2019-08-27 F. T. Brandt , J. Frenkel , D. G. C. McKeon

A formulation of Einstein gravity, analogous to that for gauge theory arising from the Chalmers-Siegel action, leads to a perturbation theory about an asymmetric weak coupling limit that treats positive and negative helicities differently.…

High Energy Physics - Theory · Physics 2009-11-11 M. Abou-Zeid , C. M. Hull

We analyze the action $\int d^4x \sqrt{\det||{\cal B} g_{\mu\nu}+ {\cal C} R_{\mu\nu}}||$ as a possible alternative or addition to the Einstein gravity. Choosing a particular form of ${\cal B}(R)= \sqrt {R}$ we can restore the Einstein…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Comelli , A. Dolgov

We formulate and solve the analog of the universal Conformal Ward Identity for the stress-energy tensor on a compact Riemann surface of genus $g>1$, and present a rigorous invariant formulation of the chiral sector in the induced…

High Energy Physics - Theory · Physics 2009-10-30 Ettore Aldrovandi , Leon A. Takhtajan

We compute the graviton one-loop correction to the expectation value of the local expansion rate in slow-roll inflation, with both slow-roll parameters finite. The calculation is based on a recent method to explicitly construct…

General Relativity and Quantum Cosmology · Physics 2021-06-04 William C. C. Lima

We present a new finite action for Einstein gravity in which the Lagrangian is quadratic in the covariant derivative of a spinor field. Via a new spinor-curvature identity, it is related to the standard Einstein-Hilbert Lagrangian by a…

General Relativity and Quantum Cosmology · Physics 2010-11-01 James M. Nester , Roh Suan Tung

We derive the 1-loop effective action of the cubic Galileon coupled to quantum-gravitational fluctuations in a background and gauge-independent manner, employing the covariant framework of DeWitt and Vilkovisky. Although the bare action…

High Energy Physics - Theory · Physics 2017-05-24 Ippocratis D. Saltas , Vincenzo Vitagliano

A Lagrange multiplier field can be used to restrict radiative corrections to the Einstein-Hilbert action to one-loop order. This result is employed to show that it is possible to couple a scalar field to the metric (graviton) field in such…

High Energy Physics - Theory · Physics 2025-06-12 D. G. C. McKeon , F. T. Brandt , J. Frenkel , S. Martins-Filho

Our main aim in this paper is to promote the coframe variational method as a unified approach to derive field equations for any given gravitational action containing the algebraic functions of the scalars constructed from the Riemann…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Ahmet Baykal , Özgur Delice

The one-loop divergences are calculated for the recently proposed ghost-free version of massive gravity, where the action depends on both metric and external tensor field f. The non-polynomial structure of the massive term is reduced to a…

High Energy Physics - Theory · Physics 2015-06-03 Ioseph L. Buchbinder , Dante D. Pereira , Ilya L. Shapiro

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

We use the heat kernel in order to compute the one-loop effective action on a classicalon background. We find that the UV divergences are suppressed relative to the predictions of standard perturbation theory in the interior of the…

High Energy Physics - Theory · Physics 2015-06-23 Petros Asimakis , Nikolaos Brouzakis , Aris Katsis , Nikolaos Tetradis

We provide a worldline representation of the one-loop effective action for a Dirac particle coupled to external scalar, pseudoscalar, vector and axialvector fields. Extending previous work by two of the authors on the pure…

High Energy Physics - Theory · Physics 2024-07-01 F. Bastianelli , O. Corradini , J. P. Edwards , D. G. C. McKeon , 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

The problem of eliminating divergences arising in quantum gravity is generally addressed by modifying the classical Einstein-Hilbert action. These modifications might involve the introduction of local supersymmetry, the addition of terms…

High Energy Physics - Theory · Physics 2021-12-15 F. T. Brandt , J. Frenkel , D. G. C. McKeon , G. S. S. Sakoda

In this letter, we consider the theory of $F(R)$ gravity with the lagrangian density $ \pounds = R+\alpha R^2 + \beta R^2 \ln \beta R $. We obtain the constant curvature solutions and find the scalar potential of the gravitational field. We…

General Relativity and Quantum Cosmology · Physics 2016-06-09 J. Sadeghi , H. Farahani

The generating function method is applied to the trace of the heat kernel and the one-loop effective action derived from the covariant perturbation theory. The basis of curvature invariants of second order for the heat kernel (Green…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrei Barvinsky , Yuri Gusev