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We explore the Dirac equation in external electromagnetic and torsion fields. Motivated by the previous study of quantum field theory in an external torsion field, we include a nonminimal interaction of the spinor field with torsion. As a…

High Energy Physics - Theory · Physics 2009-10-31 Lewis H. Ryder , Ilya L. Shapiro

We expand the classical phase-space distribution function to incorporate couplings between spin and electromagnetic fields. This extension has led to the derivation of modified constitutive relations for the charge current, energy-momentum…

High Energy Physics - Phenomenology · Physics 2025-02-18 Rajeev Singh , Masoud Shokri , S. M. A. Tabatabaee

We formulate a Euclidean lattice theory of interacting elementary spin-half electric and magnetic charges, which we refer to as electrons and magnetic monopoles respectively. The model uses the polymer representation of the fermion…

High Energy Physics - Lattice · Physics 2009-10-28 Simon Hands , John B. Kogut

We propose to form a two-component effective field theory from L = (L_ce + L_ch)/2, where L_ce is the Lagrangian of composite electrons with a Chern-Simons term, and L_ch is the particle-hole conjugate of L_ce - the Lagrangian of composite…

Strongly Correlated Electrons · Physics 2018-02-01 Jian Yang

We reexamine the derivation of relativistic transport equations for fermions when conserving the most general spinor structure of the interaction and Green function. Such an extension of the formalism is needed when dealing with {\it e.g.}…

Nuclear Theory · Physics 2017-08-23 L. Mornas , K. Morawetz

Scalar and vector interactions, with the scalar interaction coupled to a composite spin-1/2 system so as to cause a shift of its mass, are shown to obey a low-energy theorem which guarantees that the second order interaction due to z-graphs…

Nuclear Theory · Physics 2014-11-18 S. J. Wallace , Franz Gross , J. A. Tjon

A Lagrangian formulation describing the electromagnetic interaction - mediated by topologically massive vector bosons - between charged, spin-(1/2) fermions with an abelian magnetic monopole in a curved spacetime with non-minimal coupling…

General Relativity and Quantum Cosmology · Physics 2009-05-27 S. A. Ali , C. Cafaro , S. Capozziello , Ch. Corda

We investigate the torque field and skyrmion movement at an interface between a ferromagnet hosting a skyrmion and a material with strong spin-orbit interaction. We analyze both semiconductor materials and topological insulators using a…

Mesoscale and Nanoscale Physics · Physics 2022-08-08 Javier Osca , Bart Sorée

It is shown that the coefficient of the cubic interaction vertex, in higher spin Lagrangians, has a very simple form when written in terms of spinor helicity products. The result for a higher-spin field, of spin $\lambda$, is equal to the…

High Energy Physics - Theory · Physics 2020-02-26 Sudarshan Ananth

In this work we study a system of two distinguishable fermions in a 1D harmonic potential. This system has the exceptional property that there is an analytic solution for arbitrary values of the interparticle interaction. We tune the…

Quantum Gases · Physics 2013-07-16 G. Zürn , F. Serwane , T. Lompe , A. N. Wenz , M. G. Ries , J. E. Bohn , S. Jochim

In this work, we study the universal relations for one-dimensional spin-orbital-coupled fermions near both $s$- and $p$-wave resonances using effective field theory. Since the spin-orbital coupling mixes different partial waves, a contact…

Quantum Gases · Physics 2020-10-21 Fang Qin , Pengfei Zhang

We develop a "precision-ready", model-independent EFT framework that connects general leptophilic gauge interactions to their low-energy manifestations in SMEFT and LEFT. Starting from a broad U(1)'_ell extension in which leptons carry…

High Energy Physics - Phenomenology · Physics 2025-12-03 Seyit Okan Kara

It is shown that a spin-1/2 fermion coupled to the axially symmetric electromagnetic vector potential has the same matrix structure as that one for the planar Dirac oscillator. In particular, the planar Dirac oscillator can be interpreted…

High Energy Physics - Theory · Physics 2019-06-05 Antonio S. de Castro

We propose a new low-energy theory for itinerant fermions near a ferromagnetic quantum critical point. We show that the full low-energy model includes, in addition to conventional interaction via spin fluctuations, another type of…

Strongly Correlated Electrons · Physics 2015-05-14 Andrey V. Chubukov , Dmitrii L. Maslov

We investigate the conformal transformation of vierbein-Einstein-Palatini (VEP) action in terms of tetrads $e^I_\mu$ and spin connection $A^{IJ}_\mu$. The transformation of the spin connection is indeterminate off-shell unless equations of…

General Relativity and Quantum Cosmology · Physics 2018-05-29 Subhasish Chakrabarty , Amitabha Lahiri

We summarize some theoretical issues, which have been considered of special importance in the discussions of the above working group session.

High Energy Physics - Phenomenology · Physics 2008-02-03 Jacques Soffer

Quark and lepton masses and mixings are considered in the framework of the microscopic model. The most general ansatz for the interactions among tetrons leads to a Hamiltonian $H_T$ involving Dzyaloshinskii-Moriya (DM), Heisenberg and…

High Energy Physics - Phenomenology · Physics 2025-11-05 Bodo Lampe

A remarkable feature of topological superconductors is the emergence of Majorana fermions in electron systems. Whereas the emergent Majorana fermions share the self-anti-particle property with Majorana fermions in particle physics, they may…

Superconductivity · Physics 2024-07-11 Shingo Kobayashi , Masatoshi Sato

We investigate forces induced by the exchange of two light neutrinos between Standard Model (SM) fermions in the presence of effective operators parametrising physics beyond the SM. We first set up a general framework in which we derive the…

High Energy Physics - Phenomenology · Physics 2020-07-07 Patrick D. Bolton , Frank F. Deppisch , Chandan Hati

The time dependent quantum Monte Carlo method for fermions is introduced and applied for calculation of entanglement of electrons in one-dimensional quantum dots with several spin-polarized and spin-compensated electron configurations. The…

Quantum Physics · Physics 2021-07-09 Ivan P. Christov