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We consider a coupling of conformal gravity to the classically scale-invariant B-L extended standard model which has been recently proposed as a phenomenologically viable model realizing the Coleman-Weinberg mechanism of breakdown of the…

High Energy Physics - Phenomenology · Physics 2015-06-15 Ichiro Oda

The coupling of gravity to matter is explored in the linearized gravity limit. The usual derivation of gravity-matter couplings within the quantum-field-theoretic framework is reviewed. A number of inconsistencies between this derivation of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. D. Speliotopoulos , Raymond Y. Chiao

The chiral anomaly is one of the robust quantum effects in relativistic field theories with a chiral symmetry where charges in chiral sectors appear to be separately conserved. The chiral anomaly, which is often associated with a…

Strongly Correlated Electrons · Physics 2026-02-27 Shuyang Wang , Jay D. Sau

A simple modification to Einstein's theory of gravity in terms of a non-Riemannian connection is examined. A new tensor-variational approach yields field equations that possess a covariance similar to the gauge covariance of…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Robin W Tucker , Charles Wang

The Standard Model of elementary particles is a theory unifying three of the four basic forces of the Nature: electromagnetic, weak, and strong interactions. In this paper we consider the Standard Model in the presence of a classical…

Differential Geometry · Mathematics 2007-05-23 Ruslan Sharipov

Linearizing metric-affine~(scalar curvature)$^2$ gravity -- an ``umbrella'' theory that includes as special cases the metrical, Einstein-Cartan, and Weyl quadratic models -- on top of Minkowski spacetime leads to (numerous)…

High Energy Physics - Theory · Physics 2024-09-02 Georgios K. Karananas

The minimal coupling method proved to yield definite and correct physical predictions when applied to fundamental fermions within the framework of Yang--Mills theories of Standard Model. Similarly, the possibility of formulating gravity as…

General Relativity and Quantum Cosmology · Physics 2010-10-29 Marcin Kaźmierczak

Methods for obtaining additional sensitivities to Lorentz violation in the fermion sector of the Standard-Model Extension using gravitational couplings are discussed.

High Energy Physics - Phenomenology · Physics 2010-10-05 Jay D. Tasson

In the first part of this note, we observe that a non-Riemannian piece in the affine connection (a "dark connection") leads to an algebraically determined, conserved, symmetric 2-tensor in the Einstein field equations that is a natural dark…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-24 Ranit Das , Chethan Krishnan

Quantum theory of the gravitation in the causal approach is studied up to the second order of perturbation theory. We prove gauge invariance and renormalizability in the second order of perturbation theory for the pure gravity system…

High Energy Physics - Theory · Physics 2010-01-06 Dan Radu Grigore

The Standard Model (SM) is a chiral theory, where right- and left-handed fermion fields transform differently under the gauge group. Extra fermions, if they do exist, need to be heavy otherwise they would have already been observed. With no…

High Energy Physics - Phenomenology · Physics 2015-06-24 Renato M. Fonseca

Weyl fermions are two-component chiral fermions in (3+1)-dimensions. When coupled to a gauge field, the Weyl fermion is known to have an axial anomaly, which means the current conservation of the left-handed and right-handed Weyl fermions…

Strongly Correlated Electrons · Physics 2013-06-13 Chao-Xing Liu , Peng Ye , Xiao-Liang Qi

We extend the classical integrability of the CGHS model of 2d dilaton gravity [1] to a larger class of models, allowing the gravitational part of the action to depend more generally on the dilaton field and, simultaneously, adding fermion-…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Heiko Pelzer , Thomas Strobl

For all the success of the Standard Model (SM), it is on the verge of being surpassed. In this regard we argue, by showing a minimal flavor-structured model based on the non-Abelian discrete $SL_2(F_3)$ symmetry, that $U(1)$…

High Energy Physics - Phenomenology · Physics 2019-02-20 Y. H. Ahn

We study canonical transformations of general relativity (GR) to provide a novel matter coupling to gravity. Although the transformed theory is equivalent to GR in vacuum, the equivalence no longer holds if a matter field minimally couples…

General Relativity and Quantum Cosmology · Physics 2020-03-10 Katsuki Aoki , Chunshan Lin , Shinji Mukohyama

We propose that all light fermionic degrees of freedom, including the Standard Model (SM) fermions and all possible light beyond-the-standard-model fields, are chiral with respect to some spontaneously broken abelian gauge symmetry.…

High Energy Physics - Phenomenology · Physics 2015-07-06 André de Gouvea , Daniel Hernandez

In a minimal extension of the Standard Model, in which new neutral fermions have been introduced, we show that the requirement of vanishing anomalies fixes the hypercharges of all fermions uniquely. This naturally leads to electric charge…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. Nowakowski , A. Pilaftsis

We study the impact of quantum gravity on a system of chiral fermions that are charged under an Abelian gauge group. Under the impact of quantum gravity, a finite value of the gauge coupling could be generated and in turn drive four-fermion…

High Energy Physics - Theory · Physics 2021-06-02 Gustavo P. de Brito , Astrid Eichhorn , Marc Schiffer

Only requiring that Dirac operators decribing massless fermions on the lattice decompose into Weyl operators we arrive at a large class of them. After deriving general relations from spectral representations we study correlation functions…

High Energy Physics - Lattice · Physics 2009-11-10 Werner Kerler

The coupling of gravity to a scalar field raises a number of interesting questions of principle since the usual minimal coupling obtained by replacing ordinary derivatives with covariant derivatives is not available -- they are the same…

General Relativity and Quantum Cosmology · Physics 2011-10-26 Y. N. Srivastava , J. Swain , A. Widom
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