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The one-loop effective action for a massive self-interacting scalar field is investigated in $4$-dimensional ultrastatic space-time $ R \times H^3/\Gamma$, $H^3/\Gamma$ being a non-compact hyperbolic manifold with finite volume. Making use…

High Energy Physics - Theory · Physics 2009-10-30 A. A. Bytsenko , Guido Cognola , Sergio Zerbini

The one-loop effective action for Einstein gravity in a special one-parameter background gauge is calculated up to first order in a gauge parameter. It is shown that the effective action does not depend upon the gauge parameter on shell.

High Energy Physics - Theory · Physics 2010-11-01 P. M. Lavrov , A. A. Reshetnyak

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 develop a general gauge invariant construction of the one-loop effective action for supersymmetric gauge field theories formulated in ${\cal N}=1/2$ superspace. Using manifestly covariant techniques (the background superfield method and…

High Energy Physics - Theory · Physics 2008-11-26 O. D. Azorkina , A. T. Banin , I. L. Buchbinder , N. G. Pletnev

We study the limiting behavior of a singularly perturbed Schr\"odinger-Poisson system describing a 3-dimensional electron gas strongly confined in the vicinity of a plane $(x,y)$ and subject to a strong uniform magnetic field in the plane…

Analysis of PDEs · Mathematics 2010-07-27 Fanny Delebecque-Fendt , Florian Mehats

In this paper, we discuss the noncommutative QED$_2$ in the S-matrix framework. We are interested in perturbatively proving that the exact Schwinger mass $\mu^2=\frac{e^2}{\pi}$ does not receive noncommutative corrections to any order in…

High Energy Physics - Theory · Physics 2018-03-08 M. Ghasemkhani , A. A. Varshovi , R. Bufalo

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 use a functional approach to study various aspects of the quantum effective dynamics of moving, planar, dispersive mirrors, coupled to scalar or Dirac fields, in different numbers of dimensions. We first compute the Euclidean effective…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

Effective action of an SU(2) gauge model with a vortex in 4-dimensional space time is calculated in the 1-loop approximation. The minimum of the effective potential is found.

High Energy Physics - Theory · Physics 2007-05-23 V. Ch. Zhukovsky

A one-loop effective potential of the Higgs field on the Schwarzschild background is derived in the framework of a toy model: a SO(N) scalar multiplet interacting with the gauge fields, the SO(N) gauge symmetry being broken by the Higgs…

General Relativity and Quantum Cosmology · Physics 2010-03-25 P. O. Kazinski

We compare the canonical quantization and the effective action method to derive expectation values of the stress energy tensor for scalar fields conformally coupled to a 2D Schwarzschild black hole spacetime. Particular attention is devoted…

High Energy Physics - Theory · Physics 2007-05-23 R. Balbinot , A. Fabbri

We calculate the bosonic string one-loop three- and four-point amplitudes to quadradic order in momentum, and we read off the one-loop low-energy two-derivative effective action for the massless fields, $S_{eff}$. Treating the renormalized…

High Energy Physics - Theory · Physics 2019-09-26 Sabine Harribey , Dimitrios Tsimpis

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 use the one loop vacuum polarization induced by scalar quantum electrodynamics to compute the electric and magnetic fields of point charges and magnetic dipoles on a locally de Sitter background. Our results are consistent with the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 H. Degueldre , R. P. Woodard

The idea we advocate in this paper is that the one-loop effective action of a free (massive) field theory coupled to external sources (via conserved currents) contains complete information about the classical dynamics of such sources. We…

High Energy Physics - Theory · Physics 2017-02-01 L. Bonora , M. Cvitan , P. Dominis Prester , S. Giaccari , B. Lima De Souza , T. Stemberga

We study classical background electric fields and the Schwinger effect in de Sitter space. We show that having a constant electric field in de Sitter requires the photon to have a tachyonic mass proportional to the Hubble scale. This has…

High Energy Physics - Phenomenology · Physics 2025-03-05 Mar Bastero-Gil , Paulo B. Ferraz , António Torres Manso , Lorenzo Ubaldi , Roberto Vega-Morales

We study constant classical electric fields and the Schwinger effect in de Sitter space, with potential implications for magnetogenesis and inflationary dark matter production. Treating the photon as a dynamical field, we show that…

High Energy Physics - Phenomenology · Physics 2026-04-20 Mar Bastero-Gil , Paulo B. Ferraz , António Torres Manso , Lorenzo Ubaldi , Roberto Vega-Morales

We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative $\lambda[\Phi^3]_\star$-theory for both planar (g=0, h=3) and nonplanar (g=1, h=1) contributions. We adopt worldline formulation…

High Energy Physics - Theory · Physics 2010-04-05 Y. Kiem , S. -S. Kim , S. -J. Rey , H. -T. Sato

We generalize the effective potential to scalar field configurations which are proportional to the Hubble parameter of a homogeneous and isotropic background geometry. This may be useful in situations for which curvature effects are…

General Relativity and Quantum Cosmology · Physics 2010-01-15 T. M. Janssen , S. P. Miao , T. Prokopec , R. P. Woodard

We formulate a stochastic generalisation of the Schwinger effect, extending pair production to statistically fluctuating gauge-field backgrounds. Our approach captures realistic field configurations that are transient, inhomogeneous, and…

High Energy Physics - Theory · Physics 2026-03-11 Lucas Vicente García-Consuegra , Azadeh Maleknejad