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A number of computational results concerning quantum conformal symmetry is presented. After a review of the connection between conformal symmetry for a Lagrangian field theory in flat space and Weyl symmetry for the same system embedded in…

High Energy Physics - Theory · Physics 2025-11-25 Mirko Serino

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

We consider a gravitational model in a Weyl-Cartan space-time, in which the Weitzenb\"{o}ck condition of the vanishing of the sum of the curvature and torsion scalar is also imposed. Moreover, a kinetic term for the torsion is also included…

General Relativity and Quantum Cosmology · Physics 2013-08-13 Zahra Haghani , Tiberiu Harko , Hamid Reza Sepangi , Shahab Shahidi

General Relativity receives quantum corrections relevant at cosmological distance scales from the conformal scalar degrees of freedom required by the trace anomaly of the quantum stress tensor in curved space. In the theory including the…

General Relativity and Quantum Cosmology · Physics 2012-09-25 Emil Mottola

The space-time curvature carried by electromagnetic fields is discovered and a new unification of geometry and electromagnetism is found. Curvature is invariant under charge reversal symmetry. Electromagnetic field equations are examined…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. W. M. Woodside

We give a complete geometric description of conformal anomalies in arbitrary, (necessarily even) dimension. They fall into two distinct classes: the first, based on Weyl invariants that vanish at integer dimensions, arises from finite --…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Schwimmer

In this work we consider a cosmological model in which dark energy is portrayed by a canonical scalar field which is allowed to couple to the other species by means of a disformal transformation of the metric. We revisit the current…

General Relativity and Quantum Cosmology · Physics 2020-04-06 Elsa M. Teixeira , Ana Nunes , Nelson J. Nunes

We give a general definition of the conformal anomaly for theories that are not classically Weyl invariant and show that this definition yields a quantity that is both finite and local. As an example we study the conformal anomaly for a…

High Energy Physics - Theory · Physics 2018-10-24 Lorenzo Casarin , Hadi Godazgar , Hermann Nicolai

The chiral kinetic theory is derived from exact spinor mean field equations without symmetry-breaking terms for large classes of SU(2) systems with spin-orbit coupling. The influence of the Wigner function's off-diagonal elements is worked…

Strongly Correlated Electrons · Physics 2019-09-04 K. Morawetz

The hidden sector of heterotic $M$-theory vacua whose gauge bundle contains an anomalous $U(1)$ factor is discussed in detail. The mathematical formalism for computing the inhomogeneous transformation of the dilaton and K\"ahler moduli…

High Energy Physics - Theory · Physics 2021-10-15 Sebastian Dumitru , Burt A. Ovrut

We present the first theoretical study of transport properties of Weyl semimetals with point defects. Focusing on a class of time-reversal symmetric Weyl lattice models, we show that dilute lattice vacancies induce a finite density of…

Mesoscale and Nanoscale Physics · Physics 2022-11-04 J. P. Santos Pires , Simão M. João , Aires Ferreira , B. Amorim , J. M. Viana Parente Lopes

We have studied a massive U(1) gauge holographic model with pure gauge and mixed gauge-gravitational Chern-Simons terms. The full backreaction of the gauge field on the metric tensor has been considered in order to explore the vortical and…

High Energy Physics - Theory · Physics 2023-07-26 Nishal Rai , Eugenio Megias

We present and study a conformally coupled dark energy model, characterised by an interaction between a tachyon field $\phi$, with an inverse square potential $V (\phi)$, and the matter sector. A detailed analysis of the cosmological…

General Relativity and Quantum Cosmology · Physics 2019-09-06 Elsa M. Teixeira , Ana Nunes , Nelson J. Nunes

A solution to the long-standing problem of identifying the conformal field theory governing the transition between quantized Hall plateaus of a disordered noninteracting 2d electron gas, is proposed. The theory is a nonlinear sigma model…

High Energy Physics - Theory · Physics 2007-05-23 Martin R. Zirnbauer

Anomalous transport in one dimensional translation invariant Hamiltonian systems with short range interactions, is shown to belong in general to the KPZ universality class. Exact asymptotic forms for density-density and current-current time…

Statistical Mechanics · Physics 2015-05-28 Henk van Beijeren

We revisit the relation between black hole geometries and chiral transport. Integrating the anomaly equation in a black hole geometry allows to derive the chiral transport coefficients for the thermal gas far from the horizon. The key…

High Energy Physics - Theory · Physics 2023-06-21 Karl Landsteiner , Sergio Morales-Tejera , Pablo Saura-Bastida

We consider a Weyl semimetal (WSM) with finite doping and tilt within a continuum model Hamiltonian with both broken time reversal and inversion symmetry. We calculate the absorptive part of the anomalous AC Hall conductivity as a function…

Strongly Correlated Electrons · Physics 2018-03-21 S. P. Mukherjee , J. P. Carbotte

The holographic Weyl semimetal is a model of a strongly coupled topological semi-metal. A topological quantum phase transition separates a topological phase with non-vanishing anomalous Hall conductivity from a trivial state. We investigate…

High Energy Physics - Theory · Physics 2017-04-05 Christian Copetti , Jorge Fernández-Pendás , Karl Landsteiner

A general concept of potential field is introduced. The potential field that one puts in correspondence with dark matter, has fundamental geometrical interpretation (parallel transport) and has intrinsically inherent in local symmetry. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ivanhoe Pestov

We discuss some cosmological implications of extensions of the Standard Model with hidden sector scalars coupled to the Higgs boson. We put special emphasis on the conformal case, in which the electroweak symmetry is broken radiatively with…

High Energy Physics - Phenomenology · Physics 2010-04-21 J. R. Espinosa , T. Konstandin , J. M. No , M. Quiros
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