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We perform the study of perturbative aspects of a three-dimensional supersymmetric Maxwell-Chern-Simons-Proca theory minimally coupled to scalar superfields. Using the superfield formalism, we derive the propagators for both gauge and…

High Energy Physics - Theory · Physics 2025-06-10 A. C. Lehum , J. R. Nascimento , A. C. Pina Neto , A. Yu. Petrov

The purpose of this paper is to show that: when a single particle moving under 3-proper time (three-dimensional time), the trajectories of a classical particle are equivalent to a quantum field with spin. Three-proper time models are built…

Quantum Physics · Physics 2007-05-23 Xiaodong Chen

We propose an explicit spin-foam amplitude for Lorentzian gravity in three dimensions, allowing for both space- and time-like boundaries. The model is based on two main requirements: that it should be structurally similar to its well-known…

General Relativity and Quantum Cosmology · Physics 2024-09-04 José Diogo Simão

Relativistic quantum mechanics of a Proca (spin-1) particle in Riemannian spacetimes is constructed. Covariant equations defining electromagnetic interactions of a Proca particle with the anomalous magnetic moment and the electric dipole…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Alexander J. Silenko

We investigate the role played by particular field representations of an intermediate massive spin-1 boson in the context of spin-dependent interparticle potentials between fermionic sources in the limit of low momentum transfer. The…

High Energy Physics - Theory · Physics 2016-07-26 F. A. Gomes Ferreira , P. C. Malta , L. P. R. Ospedal , J. A. Helayël-Neto

Motivated by the work of Klebanov and Polyakov [hep-th/0210114] on the relationship of the large N O(N) vector model in three-dimensions to AdS_4 and higher spin representations, we attempt to find analogous connections for AdS_5. Since the…

High Energy Physics - Theory · Physics 2009-11-10 Howard J. Schnitzer

We review the correspondence between symmetric affine theories and the nonlinear Einstein-Proca system that was found by Einstein and Schrodinger. With the use of this correspondence, we investigate static spherically symmetric solutions in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Miroslav Hejna

In this paper, the suggested similarity between micro and macro-cosmos is extended to quantum behavior, postulating that quantum mechanics, like general relativity and classical electrodynamics, is invariant under discrete scale…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Saulo Carneiro

We introduce a class of higher-order derivative models in (2,1) space-time dimensions. The models are described by a vector field, and contain a Proca-like mass term which prevents gauge invariance. We use the gauge embedding procedure to…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , R. Menezes , J. R. Nascimento , R. F. Ribeiro , C. Wotzasek

We consider configurations consisting of a gravitating nonlinear spinor field $\psi$, with a nonlinearity of the type $\lambda\left(\bar\psi\psi\right)^2$, minimally coupled to Maxwell and Proca fields through the coupling constants $Q_M$…

General Relativity and Quantum Cosmology · Physics 2019-05-31 Vladimir Dzhunushaliev , Vladimir Folomeev

We investigate in which sense, at the linearized level, one can extend the 3D topologically massive gravity theory beyond three dimensions. We show that, for each k=1,2,3... a free topologically massive gauge theory in 4k-1 dimensions can…

High Energy Physics - Theory · Physics 2012-10-17 Eric A. Bergshoeff , Marija Kovacevic , Jan Rosseel , Yihao Yin

The quantum-to-classical correspondence (QCC) in spin models is a puzzling phenomenon where the static susceptibility of a quantum system agrees with its classical-system counterpart, at a different corresponding temperature, within the…

Strongly Correlated Electrons · Physics 2020-01-22 Tao Wang , Xiansheng Cai , Kun Chen , Nikolay V. Prokof'ev , Boris V. Svistunov

The minimal (reduced) and extended canonical formulations for (2+1)-dimensional fractional spin particles are considered. We investigate the relationship between them, clearing up the meaning of the coordinates for such particles, and…

High Energy Physics - Theory · Physics 2012-03-15 Jose L. Cortes , Mikhail S. Plyushchay

A special case of metric-affine gauge theory of gravity (MAG) is equivalent to general relativity with Proca matter as source. We study in detail a corresponding numeric solution of the Reissner-Nordstr"om type. It is static, spherically…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Marc Toussaint

Kronecker sequences $(k \alpha \mod 1)_{k=1}^{\infty}$ for some irrational $\alpha > 0$ have played an important role in many areas of mathematics. It is possible to associate to each finite segment $(k \alpha \mod 1)_{k=1}^{n}$ a…

Combinatorics · Mathematics 2025-09-05 François Clément

We construct a novel higher-spin theory of gravity in 2+1 spacetime dimensions. The construction is based on a higher-spin super-algebra extending the Poincare group. Our algebra accommodates all integer and half-integer spins from 1 to…

High Energy Physics - Theory · Physics 2015-11-03 George Georgiou

We consider a Dirac equation set on an extended spin space that contains fermion and boson solutions. At given dimension, it determines the scalar symmetries. The standard field equations can be equivalently written in terms of such degrees…

High Energy Physics - Theory · Physics 2015-06-26 J. Besprosvany

We review our recent exact solution to four-dimensional higher spin gauge theory invariant under a higher spin extension of SO(3,1) and we comment on its cosmological interpretation. We find an effective Einstein-scalar field theory that…

High Energy Physics - Theory · Physics 2007-05-23 E. Sezgin , P. Sundell

We study the conditions under which a non-standard Wigner class concerning discrete symmetries may arise for massive spin one-half states. The mass dimension one fermionic states are shown \textcolor{red}{to} constitute explicit examples.…

High Energy Physics - Theory · Physics 2019-11-22 J. M. Hoff da Silva , R. J. Bueno Rogerio

The gauge fixed polygon model of 2+1 gravity with zero cosmological constant and arbitrary number of spinless point particles is reconstructed from the first order formalism of the theory in terms of the triad and the spin connection. The…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Z. Kadar