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We perform the manifestly covariant quantization of a scale invariant gravity with a scalar field, which is equivalent to the well-known Brans-Dicke gravity via a field redefinition of the scalar field, in the de Donder gauge condition (or…

High Energy Physics - Theory · Physics 2022-03-14 Ichiro Oda

We show that gravity together with curved spacetime can emerge, at the microscopic scale, from a U(1) gauge field. The gauge boson that carries gravity, of elementary particles, is proved to be a spin one massless and electrically neutral…

General Relativity and Quantum Cosmology · Physics 2009-10-03 Jean Paul Mbelek

In the chiral magnetic effect an imbalance in the number of left- and right-handed quarks gives rise to an electromagnetic current parallel to the magnetic field produced in noncentral heavy-ion collisions. The chiral imbalance may be…

High Energy Physics - Theory · Physics 2010-01-22 Anton Rebhan , Andreas Schmitt , Stefan A. Stricker

The gravitational spin connection appears in gravity as a non-Abelian gauge field for the Lorentz group $SO(3,1)$, which is non-compact. The action for General Relativity is linear in the field strength associated to the spin connection,…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Stephon Alexander , Tucker Manton

Some of the basic issues related to the regularization and anomalies in gauge theory are reviewed, with particular emphasis on the recent development in lattice gauge theory. The generalized Pauli-Villars regularization is discussed from a…

High Energy Physics - Lattice · Physics 2007-05-23 Kazuo Fujikawa

We discuss the noncommutative counterparts of chiral gauge theories and compute the associated anomalies.

High Energy Physics - Theory · Physics 2008-11-26 J. M. Gracia-Bondia , C. P. Martin

In this letter we show how the action functional of the standard model and of gravity can be derived from a specific Dirac operator. Far from being exotic this particular Dirac operator turns out to be structurally determined by the Yukawa…

High Energy Physics - Theory · Physics 2007-05-23 T. Ackermann , J. Tolksdorf

We investigate the axial vector torsion-spin coupling effects in the framework of the Poincar\'e gauge theory of gravity with the general Yang-Mills type Lagrangian. The dynamical equations for the ``electric'' and ``magnetic'' components…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Mariya Iv. Trukhanova , Pavel Andreev , Yuri N. Obukhov

We show that the low energy fluctuations of spinning black Dp branes are described by a theory of spin hydrodynamics on a spacetime $\mathbb{M}_{p+1}\times \mathbb{T}^{n+2}$ in which the fluid is flowing on $\mathbb{M}_{p+1}$ and spinning…

High Energy Physics - Theory · Physics 2025-05-06 Jay Armas , Giorgos Batzios

A gauge and diffeomorphism invariant theory in (2+1)-dimensions is presented in both first and second order Lagrangian form as well as in a Hamiltonian form. For gauge group $SO(1,2)$, the theory is shown to describe ordinary Einstein…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Peter Peldan

By regarding gravity as the convolution of left and right Yang-Mills theories together with a spectator scalar field in the bi-adjoint representation, we derive in linearised approximation the gravitational symmetries of general covariance,…

High Energy Physics - Theory · Physics 2014-12-10 A. Anastasiou , L. Borsten , M. J. Duff , L. J. Hughes , S. Nagy

Recently it is found that, due to Weyl anomaly, an external magnetic field can induce anomalous currents near a boundary. In this note, we study anomalous currents for complex scalars and Dirac fields in general dimensions. We develop a…

High Energy Physics - Theory · Physics 2020-07-01 Peng-Ju Hu , Qi-Lin Hu , Rong-Xin Miao

It is possible to formulate fluid dynamics in terms of group-valued variables. This is particularly suited to the cases where the fluid has nonabelian charges and is coupled to nonabelian gauge fields. We explore this formulation further in…

High Energy Physics - Theory · Physics 2013-05-30 V. P. Nair , Rashmi Ray , Shubho Roy

The response of isodoublet fermions to classical backgrounds of essentially 2-dimensional boson fields in SU(2) Yang-Mills-Higgs theory is investigated. In particular, the spectral flow of Dirac eigenvalues is calculated for a…

High Energy Physics - Theory · Physics 2009-10-30 F. R. Klinkhamer , C. Rupp

In this article, we reconsider the formulation of Yangian symmetry for planar N=4 supersymmetric Yang-Mills theory, and we investigate to what extent this symmetry lifts to the beta/gamma-deformation of the model. We first apply cohomology…

High Energy Physics - Theory · Physics 2024-11-26 Niklas Beisert , Benedikt König

We propose a generalization of Yang-Mills theory for which the symmetry algebra does not have to be factorized as mutually commuting algebras of a finite-dimensional Lie algebra and the algebra of functions on base space. The algebra of…

High Energy Physics - Theory · Physics 2016-03-02 Pei-Ming Ho

I review results from recent investigations of anomalies in fermion--Yang Mills systems in which basic notions from noncommutative geometry (NCG) where found to naturally appear. The general theme is that derivations of anomalies from…

High Energy Physics - Theory · Physics 2025-01-30 Edwin Langmann

A covariant scheme for material coupling with $GL(N,R)$ gauge formulation of gravity is studied. We revisit a known idea of a Yang-Mills type construction, where quadratical power of cosmological constant have to be considered in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rolando Gaitan

Using cohomological methods we discuss several issues related to chiral anomalies in noncommutative U(N) YM theories in any even dimension. We show that for each dimension there is only one solution of the WZ consistency condition and that…

High Energy Physics - Theory · Physics 2009-11-07 L. Bonora , A. Sorin

By generalizing the Fujikawa approach, we show in the path-integral formalism: (1) how the infinitesimal variation of the fermion measure can be integrated to obtain the full anomalous chiral action; (2) how the action derived in this way…

High Energy Physics - Theory · Physics 2009-10-30 M. M. Islam , S. J. Puglia
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