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We compute the effective action for a massive scalar field in (A)dS spacetime using the Euclidean heat kernel method. We highlight that in even-dimensional dS spacetimes, the effective action exhibits a non-trivial imaginary part,…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Yu Zhou , Hai-Qing Zhang

The trace of the heat kernel and the one-loop effective action for the generic differential operator are calculated to third order in the background curvatures: the Riemann curvature, the commutator curvature and the potential. In the case…

High Energy Physics - Theory · Physics 2010-08-11 A. O. Barvinsky , Yu. V. Gusev , V. V. Zhytnikov , G. A. Vilkovisky

The one-loop partition function of the $f(R,R_{\mu\nu}R^{\mu\nu})$ gravity theory is obtained around AdS$_4$ background. After suitable choice of the gauge condition and computation of the ghost determinant, we obtain the one-loop partition…

General Relativity and Quantum Cosmology · Physics 2021-04-19 Shahab Shahidi , Farid Charmchi , Zahra Haghani , Leila Shahkarami

A recent proposal for gauge-invariant observables in inflation [R. Brunetti et al., JHEP 1608 (2016) 032] is examined. We give a generalisation of their construction to general background spacetimes. In flat space, we calculate one-loop…

General Relativity and Quantum Cosmology · Physics 2018-02-02 Markus B. Fröb

We calculate the effective potentials for scalar, Dirac and Yang-Mills fields in curved backgrounds using a new method for the determination of the heat kernel involving a re-summation of the Schwinger-DeWitt series. Self-interactions are…

High Energy Physics - Theory · Physics 2008-02-03 Frank Antonsen , Karsten Bormann

Given a gauge theory with gauge group G, it is sometimes useful to find an equivalent formulation in terms of a non-trivial gauge subgroup H of G. This amounts to fixing the gauge partially from G down to H. We study this problem…

High Energy Physics - Theory · Physics 2014-05-28 Frank Ferrari

The one--loop effective action for the case of a massive scalar loop in the background of both a scalar potential and an abelian or non--abelian gauge field is written in a one--dimensional path integral representation. From this the…

High Energy Physics - Theory · Physics 2011-04-15 D. Fliegner , P. Haberl , M. G. Schmidt , C. Schubert

We study the effective action in 2D dilaton-Maxwell quantum gravity. Working with the one-loop renormalizable subset of such theories, we construct the improved effective Lagrangian which contains curvature under logarithm. This effective…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We study the one-loop covariant effective action of Lifshitz theories using the heat kernel technique. The characteristic feature of Lifshitz theories is an anisotropic scaling between space and time. This is enforced by the existence of a…

In the Einstein-Cartan formulation, an iterative procedure to find solutions in non-dynamical Chern-Simons (CS) gravity in vacuum is proposed. The iterations, in powers of a small parameter $\beta$ which codifies the CS coupling, start from…

General Relativity and Quantum Cosmology · Physics 2010-12-21 Mauro Cambiaso , Luis F. Urrutia

In nonlinear electrodynamics, by implementing the causality principle as the requirement that the group velocity of elementary excitations over a background field should not exceed the speed of light in the vacuum and the unitarity…

High Energy Physics - Theory · Physics 2011-05-13 Anatoly E. Shabad , Vladimir V. Usov

Under carefully chosen assumptions a single general relativistic scalar field is able to induce MOND-like dynamics in the weak field approximation of the Einstein frame (gauge) and to modify the light cone structure accordingly. This is…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Erhard Scholz

We use a locally constant field approximation (LCFA) to study the one-loop Heisenberg-Euler effective action in a particular class of slowly varying inhomogeneous electric fields of Lorentzian shape with $0\leq d\leq 4$ inhomogeneous…

High Energy Physics - Phenomenology · Physics 2017-04-25 Felix Karbstein

With the aim of continuing the exploration of near-horizon charges in higher-curvature gravity, searching for sectors leading to universal behaviors, we first provide a thorough revision and formulae of the covariant phase-space method…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Seyed Naseh Sajadi , Supakchai Ponglertsakul , Julio Oliva

We consider conformally invariant form of the actions in Einstein, Weyl, Einstein-Cartan and Einstein-Cartan-Weyl space in general dimensions($>2$) and investigate the relations among them. In Weyl space, the observational consistency…

General Relativity and Quantum Cosmology · Physics 2010-11-23 Tae Yoon Moon , Joohan Lee , Phillial Oh

We propose a first-order geometric Lagrangian for four-dimensional conformal gravity within the Cartan formulation, which yields, dynamically, the standard constraints on the fields, expected for conformal gravity. Upon imposing the…

High Energy Physics - Theory · Physics 2026-02-11 L. Andrianopoli , R. D'Auria , G. Grosso , L. Ravera

We consider a class of Lorentz gauge gravity theories within Riemann-Cartan geometry which admits a topological phase in the gravitational sector. The dynamic content of such theories is determined only by the contortion part of the Lorentz…

General Relativity and Quantum Cosmology · Physics 2012-04-12 D. G. Pak , Youngman Kim , Takuya Tsukioka

In this paper, we introduce and motivate the studies of Quantum Weyl Gravity (also known as Conformal Gravity). We discuss some appealing features of this theory both on classical and quantum level. The construction of the quantum theory is…

High Energy Physics - Theory · Physics 2021-07-16 Lesław Rachwał , Stefano Giaccari

If violation of Lorentz and CPT symmetry is introduced into the fermion sector of conventional quantum electrodynamics, then the Chern-Simons term is radiatively induced with finite nonzero coefficient, as well as the Maxwell term is with…

High Energy Physics - Theory · Physics 2014-11-18 Yu. A. Sitenko

Recent work has studied the thermodynamics of gravity subjected to conformal boundary conditions, where the trace of the extrinsic curvature $K$ and the conformal class of metrics are kept fixed. The case $K < 0$ seems tied to solutions…

High Energy Physics - Theory · Physics 2025-03-25 Batoul Banihashemi , Edgar Shaghoulian , Sanjit Shashi