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In this paper we consider the field equations for linearized gravity and other integer spin fields on the Kerr spacetime, and more generally on spacetimes of Petrov type D. We give a derivation, using the GHP formalism, of decoupled field…

General Relativity and Quantum Cosmology · Physics 2011-11-09 Steffen Aksteiner , Lars Andersson

We develop a novel approach to gravity in which gravity is described by a matrix-valued symmetric two-tensor field and construct an invariant functional that reduces to the standard Einstein-Hilbert action in the commutative limit. We also…

High Energy Physics - Theory · Physics 2007-05-23 Ivan Avramidi

In this paper we construct and study a formulation of a chargeless complex vector matter field in a supersymmetric framework. To this aim we combine two no-chiral scalar superfields in order to take the vector component field to build the…

High Energy Physics - Theory · Physics 2014-10-15 L. P. Colatto , A. L. A. Penna

The construction of dual theories for linearized gravity in four dimensions is considered. Our approach is based on the parent Lagrangian method previously developed for the massive spin-two case, but now considered for the zero mass case.…

High Energy Physics - Theory · Physics 2009-11-10 H. Casini , R. Montemayor , Luis F. Urrutia

It has long been claimed that antisymmetric tensor field of the second rank is longitudinal after quantization. Such a situation is quite unacceptable from a viewpoint of the Correspondence Principle. On the basis of the Lagrangian…

High Energy Physics - Theory · Physics 2007-05-23 Valeri V. Dvoeglazov

In the framework of the classical field theory a mapping between antisymmetric tensor matter fields and Weinberg's $2(2j+1)$ component "bispinor" fields is considered. It is shown that such a mapping exists and equations which describe the…

High Energy Physics - Theory · Physics 2011-04-20 Valeri V. Dvoeglazov

In special-relativistic physics, spacetime is imbued with a fixed, non-dynamical metric tensor. A path to gravitational theory is to promote this tensor to a genuine dynamical field. An alternative description of special-relativistic…

General Relativity and Quantum Cosmology · Physics 2023-06-09 Tomi S Koivisto , Tom Zlosnik

The idea we advocate in this paper is that the one-loop effective action of a free (massive) field theory coupled to external sources (via conserved currents) contains complete information about the classical dynamics of such sources. We…

High Energy Physics - Theory · Physics 2017-02-01 L. Bonora , M. Cvitan , P. Dominis Prester , S. Giaccari , B. Lima De Souza , T. Stemberga

A phase of massive gravity free from pathologies can be obtained by coupling the metric to an additional spin-two field. We study the gravitational field produced by a static spherically symmetric body, by finding the exact solution that…

High Energy Physics - Theory · Physics 2009-12-15 Z. Berezhiani , D. Comelli , F. Nesti , L. Pilo

A consistent theory of massive gravity, where the graviton acquires mass by spontaneously breaking diffeomorphism invariance, is now well established. We supersymmetrize this construction using N =1 fields. Coupling to N = 1 supergravity is…

High Energy Physics - Theory · Physics 2015-06-15 Ola Malaeb

Motivated by the seminal work of Schwinger, we obtain explicit closed form expressions for the one-loop effective action in a constant electromagnetic field. We discuss both massive and massless charged scalars and spinors in two, three,…

High Energy Physics - Theory · Physics 2011-11-10 Steven K. Blau , Matt Visser , Andreas Wipf

A proposal for the path-integral of pure-spin-connection formulation of gravity is described, based on the two-form formulation of Capovilla et. al. It is shown that the resulting effective-action for the spin-connection, upon functional…

High Energy Physics - Theory · Physics 2010-04-06 Abhijit K. Kshirsagar

We study the three-loop Euler-Heisenberg Lagrangian in spinor quantum electrodynamics in 1+1 dimensions. In this first part we calculate the one-fermion-loop contribution, applying both standard Feynman diagrams and the worldline formalism…

High Energy Physics - Theory · Physics 2019-05-01 Idrish Huet , Michel Rausch de Traubenberg , Christian Schubert

We show that a U(1) gauge theory defined in the configuration space for closed p-branes yields the gauge theory of a massless rank-(p+1) antisymmetric tensor field and the Stueckelberg formalism for a massive vector field.

High Energy Physics - Theory · Physics 2016-09-06 Shinichi Deguchi , Tadahito Nakajima , Hideomi Totsuka Atomic

We construct the action of a relativistic spinning particle from a non-linear realization of a space-time odd vector extension of the Poincar\'e group. For particular values of the parameters appearing in the lagrangian the model has a…

High Energy Physics - Theory · Physics 2014-11-18 Roberto Casalbuoni , Joaquim Gomis , Kiyoshi Kamimura , Giorgio Longhi

We derive the Lagrangian for a new model of a massive rank-4 tensor field with generalized spin (2,1,1) in Minkowski spacetime of any dimension d>5, by using dimensional reduction applied to a reducible gauge model of a massless rank-4…

High Energy Physics - Theory · Physics 2015-06-15 A. A. Reshetnyak , P. Yu. Moshin

We present the one-loop effective action of a quantum scalar field with DSR1 space-time symmetry as a sum over field modes. The effective action has real and imaginary parts and manifest charge conjugation asymmetry, which provides an…

High Energy Physics - Theory · Physics 2009-11-11 M V Cougo-Pinto , C Farina , F S S Rosa , J F M Mendes

We examine the first-order Einstein-Cartan (EC) action in 2+1 dimensions, including a cosmological term and its supersymmetric extension. In this setting the spin connection can be expressed as an axial vector, yielding an action that is…

High Energy Physics - Theory · Physics 2026-01-16 D. G. C. McKeon , F. T. Brandt , J. Frenkel , S. Martins-Filho

Using Penrose binor calculus for $SU(2)$ ($SL(2,C)$) tensor expressions, a graphical method for the connection representation of Euclidean Quantum Gravity (real connection) is constructed. It is explicitly shown that: {\it (i)} the recently…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Roberto De Pietri

Relativistic particle actions are a useful tool to describe quantum field theory effective actions using a string-inspired first-quantized approach. Here we describe how to employ suitable particle actions in the computation of the scalar…

High Energy Physics - Theory · Physics 2015-04-15 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini , Khaled Hassan Ould-Lahoucine