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We extend Dirac's approach about the quantization of the electric charge to the case of gravitational configurations. The spacetime curvature is used to define a phase-like object which allows us to extract information about the behavior of…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Leonardo Patiño , Hernando Quevedo

A systematic procedure is proposed for deriving all the gauge symmetries of the general, not necessarily variational, equations of motion. For the variational equations, this procedure reduces to the Dirac-Bergmann algorithm for the…

数学物理 · 物理学 2015-05-13 S. L. Lyakhovich , A. A. Sharapov

We show that a spin-$5/2$ field can be consistently coupled to gravitation without cosmological constant in five-dimensional spacetimes. The fermionic gauge "hypersymmetry" requires the presence of a finite number of additional fields,…

高能物理 - 理论 · 物理学 2020-07-01 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

In this paper we consider the Dirac spinor field in interaction with a background of electrodynamics and torsion-gravity; by performing the polar reduction we acquire the possibility to introduce a new set of objects that have the…

综合物理 · 物理学 2019-01-14 Luca Fabbri

A version of the Dirac equation is derived from first principles using a combination of quaternions and multivariate 4-vectors. The nilpotent form of the operators used allows us to derive explicit expressions for the wavefunctions of free…

量子物理 · 物理学 2007-05-23 Peter Rowlands , John P. Cullerne

We propose a mechanism naturally leading to the spontaneous symmetry breaking in a gauge theory. The Higgs field is assumed to have global and gauged internal symmetries. We associate a non zero chemical potential to one of the globally…

高能物理 - 唯象学 · 物理学 2009-11-10 Francesco Sannino , Kimmo Tuominen

We derive constraints on the four dimensional energy-momentum tensor from gravitational and gauge anomalies. Our work can be considered an extension of Duff's analysis [1] to include parity-odd terms and explicit symmetry breaking. The…

高能物理 - 理论 · 物理学 2024-04-18 Rémy Larue , Jérémie Quevillon , Roman Zwicky

The study of gauge bosons is interesting in two respects. The properties of gauge bosons are modified by higher order effects that are sensitive to mass scales not directly accessible to experiment. On the other hand interactions amongst…

高能物理 - 唯象学 · 物理学 2007-05-23 Klaus Moenig

We study interaction of a fermion field $\psi$ with a scalar field $\phi$ and analyze the spectrum of the theory obtained in this way. It is shown that due to non-perturbative dynamics in the hidden fermion sector, $\phi$ develops a vacuum…

高能物理 - 唯象学 · 物理学 2024-10-02 Marco Frasca , Anish Ghoshal , Nobuchika Okada

Starting from a manifestly Lorentz- and diffeomorphism-invariant classical action we perform a perturbative derivation of the gravitational anomalies for chiral bosons in 4n+2 dimensions. The manifest classical invariance is achieved using…

高能物理 - 理论 · 物理学 2009-10-31 Kurt Lechner

We explore new aspects of internal fermionic shifting symmetries, present in physical systems such as free Dirac spinors and p-form tensor-spinor fields. We propose a novel procedure to gauge these global symmetries, which also introduces a…

高能物理 - 理论 · 物理学 2024-11-07 Federico Ambrosino , Ran Luo , Yi-Nan Wang , Yi Zhang

If torsion exists, it generates gravitational four-fermion interaction (GFFI). This interaction gets dominating on the Planck scale. If one confines to the regular, axial-axial part of this interaction, the results do not comply with the…

宇宙学与河外天体物理 · 物理学 2024-01-30 I. B. Khriplovich , A. S. Rudenko

A model for composite electroweak bosons is re-examined to establish approximate ranges for the initial predictions of the top and Higgs masses. Higher order corrections to this $4$-fermion theory at a high mass scale where the theory is…

高能物理 - 唯象学 · 物理学 2009-10-22 David E. Kahana , Sidney H. Kahana

We consider a model with anomaly-free Abelian gauge axial-vector symmetry, which is intended to mimic the standard electroweak gauge chiral SU(2)_L x U(1)_Y theory. Within this model we demonstrate: (1) Strong Yukawa interactions between…

高能物理 - 唯象学 · 物理学 2008-11-26 Petr Benes , Tomas Brauner , Jiri Hosek

We present preliminary results for simulations of SO(4)-gauge theory with two Dirac Wilson fermions transforming according to the vector representation. We map out the phase diagram including the strong coupling bulk phase transition line…

高能物理 - 格点 · 物理学 2012-11-07 Ari Hietanen , Claudio Pica , Francesco Sannino , Ulrik Ishøj Søndergaard

We propose a global symmetry-breaking mechanism based on an extension of the vibronic (cooperative Jahn-Teller) effects (comprising electron-phonon superpartners) to generalize them into fermion-boson superpartners. Examples of superpairs…

经典物理 · 物理学 2008-03-24 Mladen Georgiev

We consider inclusion of interactions between 3d Einstein gravity and the third order extensions of Chern-Simons. Once the gravity is minimally included into the third order vector field equations, the theory is shown to admit a…

高能物理 - 理论 · 物理学 2018-09-26 D. S. Kaparulin , I. Yu. Karataeva , S. L. Lyakhovich

The generalized massive Thirring model (GMT) with $N_{f}$[=number of positive roots of $su(n)$] fermion species is bosonized in the context of the functional integral and operator formulations and shown to be equivalent to a generalized…

高能物理 - 理论 · 物理学 2007-05-23 Harold Blas

There is an explicit resolution of the Poisson reduction of four planar point vortices, in the case that three of the vortex strengths are equal and the total vorticity is zero. The resolution, a Hamiltonian system on a unified symplectic…

数学物理 · 物理学 2023-11-02 George W. Patrick

In this work, a novel mechanism for spontaneous symmetry breaking is presented. This mechanism avoids quadratic divergencies and is thus capable of addressing the hierarchy problem in gauge theories. Using the scale-dependent effective…

高能物理 - 理论 · 物理学 2021-02-24 Benjamin Koch , Cristobal Laporte