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This is the second in a series of two contributions in which we set out to establish a novel momentum space framework to treat field theoretical infinities in perturbative calculations when parity-violating objects occur. Since no analytic…

High Energy Physics - Theory · Physics 2014-11-18 A. P. Baeta Scarpelli , M. Sampaio , M. C. Nemes , B. Hiller

The ambiguity in the calculations of one-loop counterterms by the background field method in nonrenormalizable theories of gravity is discussed. Some examples of such ambiguous calculations are given. The non-equivalence of the first and…

High Energy Physics - Theory · Physics 2007-05-23 M. Yu. Kalmykov , P. I. Pronin

In supersymmetry the anomalous magnetic moment of particles belonging to the same supermultiplet is related by simple sum rules. We study the modification of these sum rules in the case of spontaneously broken N=1 global supersymmetry.

High Energy Physics - Phenomenology · Physics 2009-10-28 S. S. Khalil

We study the quantization of a simple model of antisymmetric tensor field with spontaneous Lorentz violation in curved spacetime. We evaluate the 1-loop corrections at first order of metric perturbation, using a general covariant effective…

General Relativity and Quantum Cosmology · Physics 2019-09-19 Sandeep Aashish , Sukanta Panda

In the calculation of the anomalous magnetic moment of $W^\pm$ bosons, we discuss vector anomalies occuring in the fermion loop that spoil the predictive power of the theory. While the previous analyses were limited to using essentially the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bernard L. G. Bakker , Cheung-Ryong Ji

We derive constraints on the four dimensional energy-momentum tensor from gravitational and gauge anomalies. Our work can be considered an extension of Duff's analysis [1] to include parity-odd terms and explicit symmetry breaking. The…

High Energy Physics - Theory · Physics 2024-04-18 Rémy Larue , Jérémie Quevillon , Roman Zwicky

We investigate vector perturbations with holonomy corrections in the framework of loop quantum cosmology. Conditions to achieve anomaly freedom for these perturbations are found at all orders. This requires the introduction of counter-terms…

General Relativity and Quantum Cosmology · Physics 2012-04-04 Jakub Mielczarek , Thomas Cailleteau , Aurelien Barrau , Julien Grain

We extend and develop a method for perturbative calculations of anomalous dimensions and mixing matrices of leading twist conformal primary operators in conformal field theories. Such operators lie on the unitarity bound and hence are…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Belitsky , J. Henn , C. Jarczak , D. Müller , E. Sokatchev

Non-relativistic conformally invariant systems in a rotating cosmic string (conical) spacetime are analyzed at the classical and quantum levels by means of the gravitoelectromagnetic interpretation of the background. Solutions of the…

High Energy Physics - Theory · Physics 2022-02-02 Luis Inzunza , Mikhail S. Plyushchay

This article addresses the issue of the closure of the algebra of constraints for generic (cosmological) perturbations when taking into account simultaneously the two main corrections of effective loop quantum cosmology, namely the holonomy…

General Relativity and Quantum Cosmology · Physics 2014-07-28 Thomas Cailleteau , Linda Linsefors , Aurelien Barrau

When quantizing Conformal Dilaton Gravity there is a conformal anomaly which starts at two loop order. This anomaly stems from evanescent operators on the divergent parts of the effective action. The general form of the finite counterterm…

High Energy Physics - Theory · Physics 2016-03-23 Enrique Álvarez , Sergio González-Martín , Carmelo P. Martín

We consider the Adler-Bardeen anomaly of the U(1) axial current in abelian and non-abelian gauge theories and present its algebraic characterization as well as an explicit evaluation proving regularization scheme independence of the…

High Energy Physics - Theory · Physics 2007-05-23 Elisabeth Kraus

We study gauge theories based on abelian $p-$forms on real compact hyperbolic manifolds. An explicit formula for the conformal anomaly corresponding to skew--symmetric tensor fields is obtained, by using zeta--function regularization and…

Mathematical Physics · Physics 2008-11-26 A. A. Bytsenko , E. Elizalde , R. A. Ulhoa

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

We illustrate with examples that quantum symmetry breakings in perturbation theory are connected to breakdown of momentum routing invariance (MRI) in the loops of a Feynman diagram. We show that MRI is a necessary and sufficient condition…

High Energy Physics - Theory · Physics 2012-08-08 L. C. Ferreira , A. L. Cherchiglia , Brigitte Hiller , Marcos Sampaio , M. C. Nemes

Using Chiral Perturbation Theory at one-loop we analyze the consequences of twisted boundary conditions. We point out that due to the broken Lorentz and reflection symmetry a number of unexpected terms show up in the expressions. We…

High Energy Physics - Lattice · Physics 2015-06-18 Johan Bijnens , Johan Relefors

A fully consistent linear perturbation theory for cosmology is derived in the presence of quantum corrections as they are suggested by properties of inverse volume operators in loop quantum gravity. The underlying constraints present a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald , Golam Mortuza Hossain , Mikhail Kagan , S. Shankaranarayanan

The critical dimension of the bosonic string in the harmonic and the deDonder gauge may be calculated from the time ordered product of two energy momentum tensors. We show that recently found ambiguities within that method in nonconformal…

High Energy Physics - Theory · Physics 2009-10-22 W. Mödritsch

The radiatively induced Lorentz and CPT violating Chern-Simons terms in QED is calculated based on the recently developed loop regularization method [Y.L. Wu, Int.J.Mod.Phys.A18 (2003) 5363, hep-th/0209021; Y.L. Wu, Mod.Phys.Lett.A19 (2004)…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yong-Liang Ma , Yue-Liang Wu

We explore and discuss corrections to the Newton potential from the quantum effects of conformal matter fields. In this special case, one can compare different approaches, including that of effective quantum gravity and another, based on…

High Energy Physics - Theory · Physics 2026-05-08 Riccardo Fecchio , Ilya L. Shapiro