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We consider the trace anomaly, which results from the integration of the massless conformal fermion field with the background of metric and antisymmetric tensor fields. The non-local terms in the anomaly-induced effective action do not…

High Energy Physics - Theory · Physics 2025-04-03 Ilya L. Shapiro

The anomaly-induced effective action is a useful tool for deriving the contributions coming from quantum effects of massless conformal fields. It is well-known that such corrections in the higher derivative vacuum sector of the…

High Energy Physics - Theory · Physics 2011-06-27 Ana M. Pelinson , Ilya L. Shapiro

We analize the algebraic structure of consistent and covariant anomalies in gauge and gravitational theories: using a complex extension of the Lie algebra it is possible to describe them in a unified way. Then we study their representations…

High Energy Physics - Theory · Physics 2010-11-01 Luca Griguolo

Recently it was shown that the quantum vacuum effects of massless chiral fermion field in curved space-time leads to the parity-violating Pontryagin density term, which appears in the trace anomaly with imaginary coefficient. In the present…

General Relativity and Quantum Cosmology · Physics 2015-05-21 Sebastião Mauro , Ilya L. Shapiro

The derivation of the conformal anomaly for dilaton coupled electromagnetic field in curved space is presented. The models of this sort naturally appear in stringy gravity or after spherical reduction of multidimensional Einstein-Maxwell…

High Energy Physics - Theory · Physics 2009-09-17 S. Nojiri , S. D. Odintsov

We discuss the structure of nonlocal effective action generating the conformal anomaly in classically Weyl invariant theories in curved spacetime. By the procedure of conformal gauge fixing, selecting the metric representative on a…

High Energy Physics - Theory · Physics 2023-11-16 A. O. Barvinsky , W. Wachowski

The backreaction of a conformal matter sector and its associated conformal anomaly on gravity can be systematically studied using the formalism of the anomaly effective action. This action, defined precisely in flat spacetime within…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-27 Claudio Corianò , Stefano Lionetti , Dario Melle , Riccardo Tommasi , Leonardo Torcellini

The conformal anomaly and anomaly-induced effective action represent useful and economic ways to describe semiclassical contributions to the action of gravity. We discuss the anomaly in the case when the background is formed by metric and…

High Energy Physics - Theory · Physics 2023-12-20 Manuel Asorey , Wagno Cesar e Silva , Ilya L. Shapiro , Públio R. B. do Vale

The class of effective actions exactly reproducing the conformal anomaly in 4D is considered. It is demonstrated that the freedom within this class can be fixed by the choice of the conformal gauge. The conformal invariant part of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. O. Barvinsky , A. G. Mirzabekian , V. V. Zhytnikov

We analyse the Multiplicative Anomaly (MA) in the case of quantized massive fermions coupled to a background torsion. The one-loop Effective Action (EA) can be expressed in terms of the logarithm of determinant of the appropriate…

High Energy Physics - Theory · Physics 2015-06-18 Guilherme de Berredo-Peixoto , Alan E. Maicá

The anomaly implies an obstruction to a fully chiral covariant calculation of the effective action in the abnormal parity sector of chiral theories. The standard approach then is to reconstruct the anomalous effective action from its…

High Energy Physics - Theory · Physics 2009-03-24 L. L. Salcedo

We explore the properties of non-local effective actions which include gravitational couplings. Non-local functions originally defined in flat space can not be easily generalized to curved space. The problem is made worse by the…

High Energy Physics - Theory · Physics 2015-07-24 John F. Donoghue , Basem Kamal El-Menoufi

I present a unified formulation of anomalous contributions in quantum field theories by calculating directly the effective action using the background field and covariant-derivative expansion technique. I use this method to determine…

High Energy Physics - Phenomenology · Physics 2007-05-23 Lai-Him Chan

The effective action for quantum fields on a $d$-dimensional spacetime can be computed using a non local expansion in powers of the curvature. We show explicitly that, for conformal fields and up to quadratic order in the curvature, the non…

High Energy Physics - Theory · Physics 2009-10-31 Ezequiel Alvarez , Francisco D. Mazzitelli

We describe a systematic way of the generalization, to models with non-linear duality, of the space-time covariant and duality-invariant formulation of duality-symmetric theories in which the covariance of the action is ensured by the…

High Energy Physics - Theory · Physics 2015-06-05 Paolo Pasti , Dmitri Sorokin , Mario Tonin

We discuss a local, diff-invariant quantum effective action for gravity that captures the trace anomaly via a counter-term. We discuss why this counter-term is the most significant among infinitely many possible ones, and show how the…

High Energy Physics - Theory · Physics 2025-05-19 Gregory Gabadadze , Giorgi Tukhashvili

Effects due to fermion-vacuum polarization by an external static magnetic field are considered in a two-dimensional noncompact curved space with a nontrivial topology. An expression for the vacuun angular momentum is obtained. Like the…

High Energy Physics - Theory · Physics 2007-05-23 Yu. A. Sitenko , D. G. Rakityansky

The essentially unique torsionful version of the classical two-component spinor formalisms of Infeld and van der Waerden is presented. All the metric spinors and connecting objects that arise here are formally the same as the ones borne by…

Mathematical Physics · Physics 2015-01-26 J. G. Cardoso

Following our previous work wherein the leading order effective action was computed in the covariant effective field theory of gravity, here we specialize the effective action to the FRW spacetime and obtain the effective Friedmann…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-16 Alessandro Codello , Rajeev Kumar Jain

We study a series of the Wess-Zumino actions obtained by repeatedly integrating conformal anomalies with respect to the conformal-factor field that appear at higher loops. We show that they arise as physical quantities required to make…

High Energy Physics - Theory · Physics 2020-12-30 Ken-ji Hamada
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