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The trace anomaly induced dynamics of the conformal factor is investigated in four-dimensional quantum gravity with torsion. The constraints for the coupling constants of torsion matter interaction are obtained in the infrared stable fixed…

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

The rapidity anomalous dimension controls the scaling of transverse momentum dependent observables in the Sudakov region. In a conformal theory it is equivalent to the soft anomalous dimension, but in QCD this relation is broken by…

High Energy Physics - Phenomenology · Physics 2022-09-14 Ian Moult , Hua Xing Zhu , Yu Jiao Zhu

The conformal anomaly induced sector of four-dimensional quantum gravity (infrared quantum gravity) ---which has been introduced by Antoniadis and Mottola--- is here studied on a curved fiducial background. The one-loop effective potential…

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

The majority of renormalizable field theories possessing the scale invariance at the classical level exhibits the trace anomaly once quantum corrections are taken into account. This leads to the breaking of scale and conformal invariance.…

High Energy Physics - Theory · Physics 2015-06-15 Roberta Armillis , Alexander Monin , Mikhail Shaposhnikov

The one-loop finite temperature effective potential of QED in an external electromagnetic field is obtained using the worldline method. The general structure of the temperature dependent part of the effective action in an arbitrary external…

High Energy Physics - Theory · Physics 2009-10-31 Igor A. Shovkovy

We report on the computation of the effective actions describing the interaction of gravity both for an abelian and a non-abelian gauge theory, mediated by the trace anomaly.

High Energy Physics - Phenomenology · Physics 2011-02-01 Roberta Armillis , Claudio Coriano , Luigi Delle Rose

We calculate the covariant one-loop quantum gravitational effective action for a scalar field model inspired by the recently proposed nonminimal natural inflation model. Our calculation is perturbative, in the sense that the effective…

General Relativity and Quantum Cosmology · Physics 2020-06-11 Sandeep Aashish , Sukanta Panda

In an analogy to the odd-dimensional case we define the parity anomaly as the part of the one-loop effective action for fermions associated with spectral asymmetry of the Dirac operator. This quantity is computed directly on…

High Energy Physics - Theory · Physics 2017-07-19 M. Kurkov , D. Vassilevich

We consider some aspects of conformal symmetry in a metric-scalar-torsion system. It is shown that, for some special choice of the action, torsion acts as a compensating field and the full theory is conformally equivalent to General…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. A. Helayel-Neto , A. Penna-Firme , I. L. Shapiro

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 derivative expansion of the effective action is considered in the model with two interacting real scalar fields in curved spacetime. Using the functional approach and local momentum representation, the coefficient of the derivative term…

High Energy Physics - Theory · Physics 2025-07-01 Alícia G. Borges , Ilya L. Shapiro

The trace anomaly in external gravity is the sum of three terms at criticality: the square of the Weyl tensor, the Euler density and Box R, with coefficients, properly normalized, called c, a and a', the latter being ambiguously defined by…

High Energy Physics - Theory · Physics 2009-10-31 D. Anselmi

We discuss a simple procedure for computing one-loop quantum energies of any static field configuration that depends non-trivially on only a single spatial coordinate. We specifically focus on domain wall-type field configurations that…

High Energy Physics - Theory · Physics 2009-10-31 Andrei Parnachev , Laurence G. Yaffe

A model of the passive vector field advected by the uncorrelated in time Gaussian velocity with power-like covariance is studied by means of the renormalization group and the operator product expansion. The structure functions of the…

Chaotic Dynamics · Physics 2009-11-11 S. V. Novikov

We review past and present results on the non-local form-factors of the effective action of semiclassical gravity in two and four dimensions computed by means of a covariant expansion of the heat kernel up to the second order in the…

High Energy Physics - Theory · Physics 2019-03-05 Sebastián A. Franchino-Viñas , Tibério de Paula Netto , Omar Zanusso

The study of effective potential for the scalar Lee-Wick pseudo-electrodynamics in one-loop is presented in this letter. The planar and non-local Lee-Wick pseudo-electrodynamics is so coupled to a complex scalar field sector in 1+2…

High Energy Physics - Theory · Physics 2025-08-26 M. J. Neves

We present a model in which the breackdown of conformal symmetry of a quantum stress-tensor due to the trace anomaly is related to a cosmological effect in a gravitational model. This is done by characterizing the traceless part of the…

High Energy Physics - Theory · Physics 2007-05-23 Mehdi Golshani

The conformal anomaly (also known as the stress-energy trace anomaly) of an interacting quantum theory, associated with violation of Weyl (conformal) symmetry by quantum effects, can be amended if one endows the theory with a dilatation…

General Relativity and Quantum Cosmology · Physics 2017-09-04 Stefano Lucat , Tomislav Prokopec

The anomalous effective action describing the coupling of gravity to a non-abelian gauge theory can be determined by a variational solution of the anomaly equation, as shown by Riegert long ago. It is given by a nonlocal expression, with…

High Energy Physics - Phenomenology · Physics 2015-03-17 Roberta Armillis , Claudio Coriano , Luigi Delle Rose

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
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