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We consider a class of Lorentz gauge gravity theories within Riemann-Cartan geometry which admits a topological phase in the gravitational sector. The dynamic content of such theories is determined only by the contortion part of the Lorentz…

General Relativity and Quantum Cosmology · Physics 2012-04-12 D. G. Pak , Youngman Kim , Takuya Tsukioka

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

We construct a chiral theory of gravity in 7 and 8 dimensions, which are equivalent to Einstein-Cartan theory using less variables. In these dimensions, we can construct such higher dimensional chiral gravity because of the existence of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Takayoshi Ootsuka , Erico Tanaka , Kousuke Ura

We present a field theoretical model of anomalous transport in Weyl semi-metals. We calculate the Chiral Magnetic and Chiral Vortical Effect in the electric, axial (valley) and energy current. Our findings coincide with the results of a…

High Energy Physics - Theory · Physics 2014-02-26 Karl Landsteiner

We consider as a model of Weyl semimetal thermoelectric transport a $(3+1)$-dimensional charged, relativistic and relaxed fluid with a $U(1)_{V} \times U(1)_{A}$ chiral anomaly. We take into account all possible mixed energy, momentum,…

High Energy Physics - Theory · Physics 2024-02-15 Andrea Amoretti , Daniel K. Brattan , Luca Martinoia , Ioannis Matthaiakakis , Jonas Rongen

The covariant canonical transformation theory applied to the relativistic Hamiltonian theory of classical matter fields in dynamical space-time yields a novel (first order) gauge field theory of gravitation. The emerging field equations…

General Relativity and Quantum Cosmology · Physics 2023-11-29 David Vasak , Johannes Kirsch , Dirk Kehm , Juergen Struckmeier

We show that for an anomalous fluid carrying dissipationless chiral magnetic and/or vortical currents there is a frame in which a stationary obstacle experiences no drag, but energy and charge currents do not vanish, resembling…

High Energy Physics - Theory · Physics 2016-03-30 Mikhail A. Stephanov , Ho-Ung Yee

We study the hydrodynamics of a gas of noninteracting Weyl fermions coupled to the electromagnetic field in $(2N + 1) + 1$ spacetime dimensions using the chiral kinetic theory, which encodes the gauge anomaly in the Chern character of the…

High Energy Physics - Theory · Physics 2017-04-05 Vatsal Dwivedi , Michael Stone

We discuss a geometric perspective on chiral ferromagnetism. Much like gravity becomes the effect of spacetime curvature in theory of relativity, the Dzyaloshinski-Moriya interaction arises in a Heisenberg model with nontrivial spin…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Daniel Hill , Valeriy Slastikov , Oleg Tchernyshyov

We outline a novel chiral kinetic theory framework for systematic computations of the Chiral Magnetic Effect (CME) in ultrarelativistic heavy-ion collisions. The real part of the fermion determinant in the QCD effective action is expressed…

High Energy Physics - Phenomenology · Physics 2018-03-28 Niklas Mueller , Raju Venugopalan

The Covariant Canonical Gauge theory of Gravity is generalized by including at the Lagrangian level all possible quadratic curvature invariants. In this approach, the covariant Hamiltonian principle and the canonical transformation…

General Relativity and Quantum Cosmology · Physics 2018-12-05 David Benisty , Eduardo I. Guendelman , David Vasak , Jurgen Struckmeier , Horst Stoecker

We compare the conventional description of the interaction of matter with the four known forces in the standard model with an alternative Weyl description in which the chiral coupling is extended to include gravity. The two are…

High Energy Physics - Theory · Physics 2007-05-23 Chopin Soo , Lay Nam Chang

We draw attention to a novel type of geometric gauge invariance relating the autoparallel equations of motion in different Riemann-Cartan spacetimes with each other. The novelty lies in the fact that the equations of motion are invariant…

General Relativity and Quantum Cosmology · Physics 2011-03-17 H. Kleinert , A. Pelster

The Covariant Canonical Gauge theory of Gravity (CCGG) is a gauge field formulation of gravity which a priori includes non-metricity and torsion. It extends the Lagrangian of Einstein's theory of general relativity by terms at least…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Armin van de Venn , David Vasak , Johannes Kirsch , Jürgen Struckmeier

We show that the Weyl (trace) anomaly gives rise to a new non-dissipative vector current in accelerated relativistic fluids. The anomaly uniquely fixes the second-order transport coefficient governing the coupling between the…

High Energy Physics - Theory · Physics 2026-04-28 Shi-Zheng Yang , Jian-Hua Gao , Zuo-Tang Liang , Georgy Yu. Prokhorov , Shi Pu , Oleg V. Teryaev , Valentin I. Zakharov

Recently a new approach in constructing the conserved charges in cosmological Einstein's gravity was given. In this new formulation, instead of using the explicit form of the field equations a covariantly conserved rank four tensor was…

High Energy Physics - Theory · Physics 2019-05-07 Emel Altas

We construct the conserved charge of generic gravity theories built on arbitrary contractions of the Riemann tensor (but not on its derivatives) for asymptotically (anti)-de Sitter spacetimes. Our construction is a generalization of the ADT…

High Energy Physics - Theory · Physics 2012-12-20 Cetin Senturk , Tahsin Cagri Sisman , Bayram Tekin

This dissertation is about the study of three important issues in the theory of relativistic fluid dynamics: the stability of dissipative fluid dynamics, the shear viscosity, and fluid dynamics with triangle anomaly.(1)The second order…

High Energy Physics - Phenomenology · Physics 2011-08-31 Shi Pu

Torsion arising from fermionic matter in the Einstein-Cartan formulation of general relativity is considered in the context of Robertson-Walker geometries and the early Universe. An ambiguity in the way torsion arising from hot fermionic…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Brian P. Dolan

We formulate Hamiltonian vector-like lattice gauge theory using the overlap formula for the spatial fermionic part, $H_f$. We define a chiral charge, $Q_5$ which commutes with $H_f$, but not with the electric field term. There is an…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Creutz , Ivan Horváth , Herbert Neuberger
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