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For internal gauge forces, the result of locally gauging, i.e., of performing the substitution $\partial \rightarrow D$, is physically the same whether performed on the action or on the corresponding Euler-Lagrange equations of motion.…

General Physics · Physics 2019-10-15 John Fredsted

In this paper we show how in the most natural extension of gravity with torsion, fermion fields are endowed with running coupling in spinorial interaction, that are shown to reproduce the strength and structure of the leptonic weak forces.

High Energy Physics - Theory · Physics 2013-08-09 Luca Fabbri

While it is generally accepted, in the framework of Poincare gauge theory, that the Lorentz connection couples minimally to spinor fields, there is no general agreement on the coupling of the translational gauge field to fermions. We will…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Leclerc

We show how minimally-coupled matter fields of arbitrary spin, when coupled to Ricci-Based Gravity theories, develop non-trivial effective interactions that can be treated perturbatively only below a characteristic high-energy scale…

High Energy Physics - Theory · Physics 2021-11-03 Adria Delhom , Victor Miralles , Ana Peñuelas

In this letter we consider a magnetic impurity in a one-dimensional spin-$1/2$ Fermi gas with infinitely strong repulsive interaction between fermions. We rigorously prove that, independent of whether the magnetic coupling between impurity…

Quantum Gases · Physics 2016-04-12 Deping Zhang , Wei Chen , Hui Zhai

We study by Monte Carlo methods the thermodynamics of a spin polarized gas of non-relativistic fermions in 1+1 dimensions. The main result of this work is that our action suffers no significant sign problem for any spin polarization in the…

High Energy Physics - Lattice · Physics 2018-09-26 Andrei Alexandru , Paulo F. Bedaque , Neill C. Warrington

We derive the field equations and the equations of motion for massive test particles in modified theories of gravity with an arbitrary coupling between geometry and matter by using the Palatini formalism. We show that the independent…

General Relativity and Quantum Cosmology · Physics 2011-07-05 Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo

A phenomenon of classical quantization is discussed. This is revealed in the class of pseudoclassical gauge systems with nonlinear nilpotent constraints containing some free parameters. Variation of parameters does not change local (gauge)…

High Energy Physics - Theory · Physics 2009-10-30 Khazret Nirov , Mikhail Plyushchay

This work proposes a minimal model extending the duality between classical statistical spin systems and fermionic systems beyond the case of free fermions. A Jordan-Wigner transformation applied to a two-dimensional tensor network maps the…

Strongly Correlated Electrons · Physics 2025-06-23 Carolin Wille , Maksimilian Usoltcev , Jens Eisert , Alexander Altland

We study the impact of quantum gravity on a system of chiral fermions that are charged under an Abelian gauge group. Under the impact of quantum gravity, a finite value of the gauge coupling could be generated and in turn drive four-fermion…

High Energy Physics - Theory · Physics 2021-06-02 Gustavo P. de Brito , Astrid Eichhorn , Marc Schiffer

We study the parity behavior of the Lorentzian EPRL spinfoam model. We demonstrate that the vertex amplitude does not depend on the sign of the Immirzi parameter. We present numerical results for the transition amplitude and the graviton…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Yasha Neiman

We realize an interferometer with an atomic Fermi gas trapped in an optical lattice under the influence of gravity. The single-particle interference between the eigenstates of the lattice results in macroscopic Bloch oscillations of the…

Soft Condensed Matter · Physics 2009-11-10 G. Roati , E. de Mirandes , F. Ferlaino , H. Ott , G. Modugno , M. Inguscio

The real-time dynamics of a classical spin in an external magnetic field and locally exchange coupled to an extended one-dimensional system of non-interacting conduction electrons is studied numerically. Retardation effects in the coupled…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Mohammad Sayad , Michael Potthoff

Starting from an affinely connected space, we consider a model of gravity whose fundamental field is the connection. We build up the action using as sole premise the invariance under diffeomorphisms, and study the consequences of a…

General Relativity and Quantum Cosmology · Physics 2020-04-08 Oscar Castillo-Felisola , Jose Perdiguero , Oscar Orellana , Alfonso R. Zerwekh

We present a novel theory of gravity by considering an extension of symmetric teleparallel gravity. This is done by introducing, in the framework of the metric-affine formalism, a new class of theories where the nonmetricity $Q$ is…

General Relativity and Quantum Cosmology · Physics 2018-10-31 Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo , Gonzalo J. Olmo , Diego Rubiera-Garcia

We study the coupling of massive fermions to the quantum mechanical dynamics of spacetime emerging from the spinfoam approach in three dimensions. We first recall the classical theory before constructing a spinfoam model of quantum gravity…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Winston Fairbairn

We consider many-point correlation functions of discrete fermions in the two-dimensional FK-Ising model and show that, despite not being commuting observable, they can be realized with a geometric-probabilistic approach in terms of loops of…

Mathematical Physics · Physics 2020-03-31 Francesco Spadaro

In this work we provide a possible geometrical interpretation of the spin of elementary particles. In particular, it is investigated how the wave equations of matter are altered by the addition of an antisymmetric contribution to the metric…

General Relativity and Quantum Cosmology · Physics 2014-06-23 Ginés R. Pérez Teruel

We study the dynamics of a non-degenerate, harmonically trapped Fermi gas following a sudden ramp of the spin-orbit coupling strength. In the non-interacting limit, we solve the Boltzmann equation in the presence of spin orbit coupling…

Quantum Gases · Physics 2013-09-27 Stefan S. Natu , S. Das Sarma

We establish a new self-consistent system of equations for the gravitational and electromagnetic fields. The procedure is based on a non-minimal non-linear extension of the standard Einstein-Hilbert-Maxwell action. General properties of a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alexander B. Balakin , José P. S. Lemos