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In this contribution one examines the generalization of the $f(R)$ theories of gravity where one introduces a non-minimal coupling between curvature and matter. This model has new and interesting features. %, specially concerning the energy…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Orfeu Bertolami , Miguel Carvalho Sequeira

We consider a model where electroweak symmetry breaking is driven by Technicolor dynamics with minimal particle content required for walking coupling and saturation of global anomalies. Furthermore, the model features three additional Weyl…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Kimmo Kainulainen , Kimmo Tuominen , Jussi Virkajarvi

Chiral anomaly and the novel quantum phenomena it induces have been widely studied for Dirac and Weyl fermions. In most typical cases, the Lorentz covariance is assumed and thus the linear dispersion relations are maintained. However, in…

Mesoscale and Nanoscale Physics · Physics 2022-01-21 Lan-Lan Gao , Xu-Guang Huang

In theories with chiral couplings, one of the important consistency requirements is that of the cancellation of a gauge anomaly. In particular, this is one of the conditions imposed on the hypercharges in the Standard Model. However,…

High Energy Physics - Theory · Physics 2009-11-11 Alexey Boyarsky , Oleg Ruchayskiy , Mikhail Shaposhnikov

This ia a review/research paper on anomalies applied to a bottom-up approach to standard model and gravity. It is divided in two parts. The first consists in a review proper of anomalies in quantum field theories. Anomalies are analyzed…

High Energy Physics - Theory · Physics 2025-10-29 Loriano Bonora , Stefano G. Giaccari

This article deals with two main topics. One is odd parity trace anomalies in Weyl fermion theories in a 4d curved background, the second is the introduction of axial gravity. The motivation for reconsidering the former is to clarify the…

High Energy Physics - Theory · Physics 2017-09-13 L. Bonora , M. Cvitan , P. Dominis Prester , A. Duarte Pereira , S. Giaccari , T. Stemberga

We investigate the compatibility of minimally coupled scalar, fermion and gauge fields with asymptotically safe quantum gravity, using nonperturbative functional Renormalization Group methods. We study d=4,5 and 6 dimensions and within…

High Energy Physics - Theory · Physics 2024-02-27 Pietro Donà , Astrid Eichhorn , Roberto Percacci

In a previous work the authors have solved the Einstein equations of General Relativity for a class of metrics with constant spatial curvature, where it was found a non vanishing Weyl tensor in the presence of a primordial magnetic field…

General Relativity and Quantum Cosmology · Physics 2015-06-10 Grasiele B. Santos , Eduardo Bittencourt , José M. Salim

Weyl gravity in the presence of a non-minimal matter-curvature coupling is presented. Some properties arising from the non-metricity give rise to a second order theory whose vacuum is compatible with a cosmological constant, under…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Cláudio Gomes , Orfeu Bertolami

We review seven models, which consistently couple quantum matter and (Newtonian) gravity in a non standard way. For each of them we present the underlying motivations, the main equations and, when available, a comparison with experimental…

Quantum Physics · Physics 2022-06-01 Sandro Donadi , Angelo Bassi

The symmetries of generic 2D dilaton models of gravity with (and without) matter are studied in some detail. It is shown that $\delta_2$, one of the symmetries of the matterless models, can be generalized to the case where matter fields of…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Miguel Navarro

In this proceeding, we review modified theories of gravity with a curvature-matter coupling between an arbitrary function of the scalar curvature and the Lagrangian density of matter. This explicit nonminimal coupling induces a…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Francisco S. N. Lobo , Tiberiu Harko

Some years ago, it was shown how fermion self-interacting terms of the Thirring-type impact the usual structure of massless two-dimensional gauge theories [1]. In that work only the cases of pure vector and pure chiral gauge couplings have…

High Energy Physics - Theory · Physics 2008-11-26 D. Dalmazi , A. de Souza Dutra

It is shown that gravitation naturally emerges from the standard model of particle physics if local scale invariance is imposed in the context of a single conformal (Weyl-symmetric) theory. Gravitation is then conformally-related to the…

General Relativity and Quantum Cosmology · Physics 2018-06-15 Meir Shimon

A scale invariant theory of gravity, containing at most two derivatives, requires, in addition to the Riemannian metric, a scalar field and (or) a gauge field. The gauge field is usualy used to construct the affine connection of Weyl…

High Energy Physics - Theory · Physics 2024-02-08 N. Mohammedi

This paper is part of a series of papers exploring the renormalization of field theories coupled to gravity using the effective field theory framework. In previous works we studied the universality of the electric charge and the two-loops…

High Energy Physics - Theory · Physics 2022-08-11 Huan Souza , L. Ibiapina Bevilaqua , A. C. Lehum

Dirac fermions coupled to gauge fields can exhibit the chiral anomaly even on a finite spatial lattice. A careful description of this phenomenon yields new insights into the nature of spin-charge relations and on-site symmetries (symmetries…

High Energy Physics - Theory · Physics 2018-11-16 Djordje Radicevic

The fundamental interactions of nature, the electroweak and the quantum chromodynamics, are described in the Standard Model by the Gauge Theory under internal symmetries that maintain the invariance of the functional action. The fundamental…

General Relativity and Quantum Cosmology · Physics 2019-05-21 Wytler Cordeiro dos Santos

A standard model is formulated in a Weyl space, $W_4$, yielding a Weyl covariant dynamics of massless chiral Dirac fermion fields for leptons and quarks as well as the gauge fields involved for the groups D(1)\,(Weyl), $U(1)_Y{\times}…

High Energy Physics - Theory · Physics 2011-07-11 Wolfgang Drechsler

We study fermions derivatively coupled to axion-like or pseudoscalar fields, and show that the axial vector current of the fermions is not conserved in the limit where the fermion is massless. This apparent violation of the classical chiral…

High Energy Physics - Theory · Physics 2022-08-24 Peter Adshead , Kaloian D. Lozanov