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A free action of a finite group on an odd-dimensional sphere is said to be almost linear if the action restricted to each cyclic or 2-hyperelementary subgroup is conjugate to a free linear action. We begin this survey paper by reviewing the…

Geometric Topology · Mathematics 2016-09-07 Hansjorg Geiges , Charles B. Thomas

We study the consistency of a model which includes torsion as well as the metric as dynamical fields and has massive spin-2 particle in its spectrum. The massive spin-2 mode resides in the torsion, rather than in the metric. It is known…

High Energy Physics - Theory · Physics 2015-05-13 V. P. Nair , S. Randjbar-Daemi , V. Rubakov

We describe a Higgs mechanism for the partially massless graviton. In order to do so, we first construct a covariant fracton-like effective field theory on de Sitter space that linearly realizes a dipolar shift symmetry. The global symmetry…

High Energy Physics - Theory · Physics 2025-07-30 Kurt Hinterbichler , Austin Joyce

We develop a systematic approach to obtain an effective Lagrangian for 2D non-Abelian topological BF theory. A general expression is presented in a diagrammatic representation containing solely scalar fields. Expressions for the SU(2) and…

High Energy Physics - Theory · Physics 2022-05-04 Pongwit Srisangyingcharoen , Paul Mansfield

In earlier papers, it is found that the Ricci scalar behaves in dual manner (i) like a matter field and (ii) like a geometrical field. Using dual role of the Ricci scalar, inhomogeneous cosmological models are derived. The essential…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. K. Srivastava

Within a four dimensional manifestly N = 1 supersymmetric action, we show that Wess-Zumino-Novikov-Witten (WZNW) terms can be embedded in an extraordinarily simple manner into a purely chiral superaction. In order to achieve this result it…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates,

The effective mass $\mass$ of the the Pauli-Fierz Hamiltonain with ultraviolet cutoff $\Lambda$ and the bare mass $m$ in nonrelativistic QED with spin 1/2 is investigated. Analytic properties of $\mass$ in coupling constant $e$ are shown…

Mathematical Physics · Physics 2010-11-11 F. Hiroshima , K. R. Ito

We study quantum effects due to a Dirac field in 2+1 dimensions, confined to a spatial region with a non-trivial boundary, and minimally coupled to an Abelian gauge field. To that end, we apply a path-integral representation, which is…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , F. D. Mazzitelli

Effective field theory provides a powerful framework to exploit a separation of scales in physical systems. In these lectures, we discuss some general aspects of effective field theories and their application to few-body physics. In…

Nuclear Theory · Physics 2017-06-28 H. -W. Hammer , Sebastian König

We introduce a formulation for spinning gravitating objects in the effective field theory in the post-Newtonian scheme in the context of the binary inspiral problem. We aim at an effective action, where all field modes below the orbital…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Michele Levi , Jan Steinhoff

We study metric-compatible Poisson structures in the semi-classical limit of noncommutative emergent gravity. Space-time is realized as quantized symplectic submanifold embedded in R^D, whose effective metric depends on the embedding as…

Mathematical Physics · Physics 2014-09-11 Nikolaj Kuntner , Harold Steinacker

We study exact solutions of nonlinear electrodynamics coupled to three-dimensional gravity with torsion. We show that in any static and spherically symmetric configuration, at least one component of the electromagnetic field has to vanish.…

General Relativity and Quantum Cosmology · Physics 2009-09-02 M. Blagojević , B. Cvetković , O. Misković

The in-out formalism is a systematic and powerful method for finding the effective actions in an electromagnetic field and a curved spacetime provided that the field equation has explicitly known solutions. The effective action becomes…

High Energy Physics - Theory · Physics 2017-04-05 Sang Pyo Kim

We propose an external field approach to evaluating effective action allowing the interaction to act everywhere at all times (everlasting). Requiring that the asymptotic gauge fields are always-interacting, we implement displacement fields…

High Energy Physics - Phenomenology · Physics 2024-08-27 Stefan Evans , Johann Rafelski

The behavior of spin - 1/2 - particles in anisotropic Bianchi type I backgrounds is investigated utilizing the concept of differential forms and orthonormal frames. Specializing to the massless case and power law scale factors $\alpha_j(t)…

Mathematical Physics · Physics 2018-11-19 Matthias Wollensak

We outline that, in a Kaluza-Klein framework, not only the electro-magnetic field can be geometrized, but also the dynamics of a charged spinning particle can be inferred from the motion in a 5-dimensional space-time. This result is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Francesco Cianfrani , Irene Milillo , Giovanni Montani

The most general 2+1 dimensional spinning particle model is considered. The action functional may involve all the possible first order Poincare invariants of world lines, and the particular class of actions is specified thus the…

High Energy Physics - Theory · Physics 2007-05-23 K. B. Alkalaev , S. L. Lyakhovich

Effective field theories describing gravity coupled to matter are investigated, allowing for operators of arbitrary mass dimension. Terms violating local Lorentz and diffeomorphism invariance while preserving internal gauge symmetries are…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Alan Kostelecky , Zonghao Li

In this paper we (re)consider the problem of electromagnetic interactions for massless spin 2 particles and show that in $(A)dS$ spaces with non-zero cosmological constant it is indeed possible (at least in linear approximation) to switch…

High Energy Physics - Theory · Physics 2009-02-10 Yu. M. Zinoviev

Application of nonlinear symmetry realisation technique to gravity is studied. We identify the simplest extensions of the Poincare group suitable for nonlinear realisation. Among them only one model is suitable for description of massless…

General Relativity and Quantum Cosmology · Physics 2020-01-16 A. B. Arbuzov , B. N. Latosh
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