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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

We study the analytical structure of the fermion propagator in planar quantum electrodynamics coupled to a Chern-Simons term within a four-component spinor formalism. The dynamical generation of parity-preserving and parity-violating…

High Energy Physics - Phenomenology · Physics 2010-12-23 Christoph P. Hofmann , Alfredo Raya , Saúl Sánchez Madrigal

We use a de Sitter breaking graviton propagator to compute the tree order correlator between noncoincident Weyl tensors on a locally de Sitter background. An explicit, and very simple result is obtained, for any spacetime dimension D, in…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Pedro J. Mora , Richard P. Woodard

Using dispersion relations of the scattering amplitudes and semi-definite programming, we calculate causality bounds on the Wilson coefficients in scalar-tensor effective field theories that include parity-violating operators. Particular…

High Energy Physics - Theory · Physics 2025-05-23 Hao Xu , Dong-Yu Hong , Zhuo-Hui Wang , Shuang-Yong Zhou

Weyl fermions can be created in materials with both time reversal and inversion symmetry by applying a magnetic field, as evidenced by recent measurements of anomalous negative magnetoresistance. Here, we do a thorough analysis of the Weyl…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Jennifer Cano , Barry Bradlyn , Zhijun Wang , Max Hirschberger , N. P. Ong , B. A. Bernevig

We discuss topological aspects of the electroweak sphaleron and its odd-parity deformations. We demonstrate that they are uniquely classified in terms of their odd and even-parity pure gauge field behaviour at spatial infinity. Fermion…

High Energy Physics - Phenomenology · Physics 2009-10-22 Minos Axenides , Andrei Johansen

We calculate the exact parity odd part of the effective action ($\Gamma_{odd}^{2d+1}$) for massive Dirac fermions in 2d+1 dimensions at finite temperature, for a certain class of gauge field configurations. We consider first Abelian…

High Energy Physics - Theory · Physics 2009-10-31 C. D. Fosco , G. L. Rossini , F. A. Schaposnik

The role of the contribution from the fermion mass term in the axial vector Ward identity in generating the U(1) axial anomaly, both local and global, is elucidated. Gauge invariance requires the fermion to decouple from the gauge field if…

High Energy Physics - Theory · Physics 2007-05-23 H. Banerjee

Here we follow the mainstream of thinking about physical equivalence of different representations of a theory, regarded as the consequence of invariance of the laws of physics -- represented by an action principle and the derived motion…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Israel Quiros , Roberto De Arcia

Parity violation in the gravitational sector is a prediction of many theories beyond general relativity. In the propagation of gravitational waves, parity violation manifests by inducing amplitude and/or velocity birefringence between…

General Relativity and Quantum Cosmology · Physics 2024-01-10 Thomas Callister , Leah Jenks , Daniel Holz , Nicolás Yunes

We compute the trace, diffeomorphism and Lorentz anomalies of a free Weyl fermion in a gravitational background field by path integral methods. This is achieved by regularising the variation of the determinant of the Weyl operator building…

High Energy Physics - Theory · Physics 2024-04-23 Rémy Larue , Jérémie Quevillon , Roman Zwicky

Parity-violating (PV) gravity has recently attracted interest in several aspects. One of them is the axion-graviton coupling to test the axion-dark matter model. Moreover, by extending Chern-Simons (CS) gravity to include derivatives of a…

General Relativity and Quantum Cosmology · Physics 2020-08-31 Kei Yamada , Takahiro Tanaka

We study the pairing of fermions by an interaction consisting of a Hubbard repulsion, mimicking a screened Coulomb potential, and a dynamical phonon-mediated attraction. For such interaction, the gap equation allows even- and odd-frequency…

Superconductivity · Physics 2022-09-28 Dimitri Pimenov , Andrey V. Chubukov

In this paper, we provide a systematic investigation of high-order primordial perturbations with nonlinear dispersion relations due to quantum gravitational effects in the framework of {\em uniform asymptotic approximations}. Because of…

General Relativity and Quantum Cosmology · Physics 2016-07-06 Tao Zhu , Anzhong Wang , Klaus Kirsten , Gerald Cleaver , Qin Sheng

In this letter we show that the overlap formulation of chiral gauge theories correctly reproduces the gravitational Lorentz anomaly in 2-dimensions. This formulation has been recently suggested as a solution to the fermion doubling problem…

High Energy Physics - Theory · Physics 2009-12-30 S. Randjbar-Daemi , J. Strathdee

Recent discovery of both gapped and gapless topological phases in weakly correlated electron systems has introduced various relativistic particles and a number of exotic phenomena in condensed matter physics. The Weyl fermion is a prominent…

The spontaneous violation of Lorentz and diffeomorphism invariance in a phase near the big bang lowers the entropy, allowing for an arrow of time and the second law of thermodynamics. The spontaneous symmetry breaking leads to…

General Relativity and Quantum Cosmology · Physics 2016-03-08 J. W. Moffat

Noncommutative spectral geometry offers a purely geometric explanation for the standard model of strong and electroweak interactions, including a geometric explanation for the origin of the Higgs field. Within this framework, the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Gaetano Lambiase , Mairi Sakellariadou , Antonio Stabile

The possibility of parity violation through spacetime torsion has been explored in a scenario containing fields with different spins. Taking the Kalb-Ramond field as the source of torsion, an explicitly parity violating $U(1)_{EM}$ gauge…

High Energy Physics - Theory · Physics 2009-11-07 Biswarup Mukhopadhyaya , Soumitra SenGupta , Saurabh Sur

The anomalous <VVP> Green function and related form-factors (pi^0 to gamma^* gamma^* and tau^- to X^- nu_tau vector form-factors, with X^-=(KKpi)^-, phi^- gamma, (phi V)^-) are analyzed in this letter in the large-N_C limit. Within the…

High Energy Physics - Phenomenology · Physics 2014-05-02 Pablo Roig , Juan José Sanz Cillero