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Related papers: Classical Gauged Massless Rarita-Schwinger Fields

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The framework of the Covariant Canonical Gauge theory of Gravity (CCGG) is described in detail. CCGG emerges naturally in the Palatini formulation, where the vierbein and the spin connection are independent fields. Neither torsion nor…

General Relativity and Quantum Cosmology · Physics 2023-11-22 David Vasak , Jürgen Struckmeier

Lagrangian of a massive particle with spin 3/2 is considered in the Rarita-Schwinger formalism. We discuss implications of the contact- and the gauge-transformation on the physical content of free and interacting theories. It is shown that…

High Energy Physics - Phenomenology · Physics 2016-09-01 V. Pascalutsa

A non-Abelian gauge field with a topological action is coupled to a spin 3/2 Majorana spinor. The symmetries of this model are analyzed using the Dirac constraint formalism. These symmetries include a Fermionic symmetry and the algebra of…

High Energy Physics - Theory · Physics 2017-11-22 D. G. C. McKeon

We construct a class of Abelian and non-Abelian local gauge theories that consist only of matter fields of fermions. The Lagrangian is compact and local without containing an auxiliary vector field nor a subsidiary condition on the matter…

High Energy Physics - Theory · Physics 2016-07-13 Mahiko Suzuki

We show explicitly that a free Lagrangian expressed in terms of scalar, spinor, vector and Rarita-Schwinger (RS) fields is invariant under linear supersymmetry transformations generated by a global spinor-vector parameter. A (generalized)…

Mathematical Physics · Physics 2008-04-24 Kazunari Shima , Motomu Tsuda

We present a new method for regularizing chiral theories on the lattice. The arbitrariness in the regularization is used in order to decouple massless replica fermions. A continuum limit with only one fermion is obtained in perturbation…

High Energy Physics - Lattice · Physics 2009-10-22 J. L. Alonso , Ph. Boucaud , J. L. Cortes , F. Lesmes , E. Rivas

The possibility of having a gauge fixing term in the effective Lagrangian that is not a quadratic expression has been explored in spin-two theories so as to have a propagator that is both traceless and transverse. We first show how this…

High Energy Physics - Theory · Physics 2014-11-18 F. T. Brandt , D. G. C. McKeon

In their simplest form, metric-like Lagrangians for higher-spin massless fields display constrained gauge symmetries, unless auxiliary fields are introduced or locality is foregone. Specifically, in its standard incarnation, gauge…

High Energy Physics - Theory · Physics 2015-06-17 D. Francia , S. L. Lyakhovich , A. A. Sharapov

We consider a general reducible gauge theory deformed by mass or/and interaction terms violating gauge invariance. It is shown that in the Abelian case, by using the Stueckelberg-type procedure, this theory with broken gauge symmetry can be…

High Energy Physics - Theory · Physics 2026-05-12 A. A. Averianov , A. O. Barvinsky , I. L. Buchbinder , V. A. Krykhtin , D. V. Nesterov

This paper studies the two-spinor form of the Rarita-Schwinger potentials subject to local boundary conditions compatible with local supersymmetry. The massless Rarita-Schwinger field equations are studied in four-real-dimensional…

General Relativity and Quantum Cosmology · Physics 2008-02-03 G. Esposito , G. Gionti , A. Yu. Kamenshchik , I. V. Mishakov , G. Pollifrone

We present a method for formulating gauge theories of chiral fermions in lattice field theory. The method makes use of a Wilson mass to remove doublers. Gauge invariance is then restored by modifying the theory in two ways: the magnitude of…

High Energy Physics - Lattice · Physics 2009-10-28 Geoffrey T. Bodwin

A possible formulation of chiral gauge theories with an anomalous fermion content is re-examined in light of the lattice framework based on the Ginsparg-Wilson relation. It is shown that the fermion sector of a wide class of anomalous…

High Energy Physics - Lattice · Physics 2009-11-10 Kosuke Matsui , Hiroshi Suzuki

In this paper general abelian gauge field theories interacting with matter fields are quantized on a closed and orientable Riemann surface $\Sigma$. The approach used is that of small perturbations around topologically nontrivial classical…

High Energy Physics - Theory · Physics 2007-05-23 F. Ferrari

Defining chiral lattice gauge theories in the Ginsparg-Wilson formalism is complicated by the so-called fermion measure problem. It has been proven for the abelian theories that smooth well-behaved fermion measure exists if and only if the…

High Energy Physics - Lattice · Physics 2013-04-11 Yanwen Shang

We extend the gauge invariant variational approach of Phys. Rev. D52 (1995) 3719, hep-th/9408081, to theories with fermions. As the simplest example we consider the massless Schwinger model in 1+1 dimensions. We show that in this solvable…

High Energy Physics - Theory · Physics 2009-10-31 William E. Brown , Juan P. Garrahan , Ian I. Kogan , Alex Kovner

The cross-couplings among several massless spin-two fields (described in the free limit by a sum of Pauli-Fierz actions) in the presence of a massive Rarita-Schwinger field are investigated in the framework of the deformation theory based…

High Energy Physics - Theory · Physics 2008-11-26 C. Bizdadea , E. M. Cioroianu , D. Cornea , S. O. Saliu , S. C. Sararu

The massless Schwinger model without the kinetic term of gauge field has gauge anomaly. We quantize the model as an anomalous gauge theory in the most general class of gauge conditions. We show that the gauge field becomes a dynamical…

High Energy Physics - Theory · Physics 2008-02-03 M. Koseki , R. Kuriki

Spinor-valued one-forms (Rarita-Schwinger fields) are normally used in the context of supergravity, where they describe spin 3/2 particles (gravitinos). Indeed, when decomposed into irreducible representations of the Lorentz group such a…

High Energy Physics - Theory · Physics 2015-06-12 Alexander Torres-Gomez , Kirill Krasnov

Using Grassmann variant of classical mechanics, we construct Lagrangian dynamics of classical spinning particle in (possibly non-abelian) gauge fields. Quantization of this model is briefly discussed.

Mathematical Physics · Physics 2012-03-05 S. A. Pol'shin

The purpose of this paper is to investigate the gauge symmetry of classical field theories in integral formalism. A gauge invariant theory is defined in terms of the invariance of the physical observables under the coordinate…

High Energy Physics - Theory · Physics 2007-05-23 Chen Ying , He Bing , Lin He , Wu Ji-Min