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A finite-dimensional pseudo-unitary framework is set up for describing the dynamics of free elementary particles in a purely relativistic quantum mechanical way. States of any individual particles or antiparticles are defined as suitably…

Mathematical Physics · Physics 2015-02-03 Jorge G. Cardoso

We develop the Batalin-Vilkovisky formalism for classical field theory on generic globally hyperbolic spacetimes. A crucial aspect of our treatment is the incorporation of the principle of local covariance which amounts to formulate the…

Mathematical Physics · Physics 2017-08-23 Klaus Fredenhagen , Katarzyna Rejzner

The SOSO action is an irreducible action for a complex massive superspin one half representation of SUSY, made from spin one half superfields. The theory requires `BRST recycling' to find appropriate nilpotent BRST transformations. A…

High Energy Physics - Theory · Physics 2015-06-10 John A. Dixon

A covariant quantization method is developed for the off-shell superparticle in 10 dimensions. On-shell it is consistent with lightcone quantization, while off-shell it gives a noncommutative superspace that realizes non-linearly a hidden…

High Energy Physics - Theory · Physics 2014-11-18 Itzhak Bars , Cemsinan Deliduman , Andrea Pasqua , Bruno Zumino

We develop covariant fermionic fields of space-like particles. As an application of the formalism we discuss the example of superluminous tachyons with imaginary rest mass and spin 1/2 forming fermionic ensembles that is relativistically…

General Physics · Physics 2020-12-03 Radhakrishnan Balu

We propose that a holographic description of `walking' behaviour, namely quasi-conformal dynamics relevant for technicolor models, can be obtained from relevant deformations of N=4 super Yang-Mills. We consider deformations which drive the…

High Energy Physics - Theory · Physics 2015-05-20 S. Prem Kumar , David Mateos , Angel Paredes , Maurizio Piai

Classical limits of quantum systems are shown to lead to different conceptions of spaces different from the classical one underlying the process of quantization of such systems. The accent is put in situations where traces of…

Quantum Physics · Physics 2022-07-22 Thierry Paul

A generalization of the pseudoclassical action of a spinning particle in the presence of an anomalous magnetic momentum is given. The action is written in reparametrization and supergauge invariant form. The Dirac quantization, based on the…

High Energy Physics - Theory · Physics 2011-03-31 D. M. Gitman , A. V. Saa

Using an infinite number of fields, we construct actions for D=4 self-dual Yang-Mills with manifest Lorentz invariance and for D=10 super-Yang-Mills with manifest super-Poincar\'e invariance. These actions are generalizations of the…

High Energy Physics - Theory · Physics 2010-02-03 N. Berkovits , C. Hull

Krein space quantization and the ambient space formalism have been successfully applied to address challenges in quantum geometry (e.g., quantum gravity) and the axiomatic formulation of quantum Yang-Mills theory, including phenomena such…

General Relativity and Quantum Cosmology · Physics 2025-05-27 M. V. Takook

The Standard Model of the elementary particles is controlled by more than 20 parameters, of which it is not known today how they can be linked to deeper principles. Any attempt to clean up this theory, in general results in producing more…

High Energy Physics - Theory · Physics 2022-02-14 Gerard t Hooft

A simultaneous description of the dynamics of multiple particles requires a configuration space approach with an external time parameter. This is in stark contrast with the relativistic paradigm, where time is but a coordinate chosen by an…

Mathematical Physics · Physics 2020-11-09 Tomasz Miller , Michał Eckstein , Paweł Horodecki , Ryszard Horodecki

An explicitly covariant formulation is presented of a modified DGP scenario proposed recently [1], to avoid the instability of the self-accelerating branch. It is based on the introduction of a bulk scalar field with appropriate non-minimal…

High Energy Physics - Theory · Physics 2008-11-26 Alexey S. Koshelev , Theodore N. Tomaras

The relativity to the measuring device in quantum theory, i.e. the covariance of local dynamical variables relative transformations to moving quantum reference frame in Hilbert space, may be achieved only by the rejection of super-selection…

General Physics · Physics 2007-05-23 Peter Leifer

The quantization rules recently proposed by M. Navarro (and independently I.V. Kanatchikov) for a finite-dimensional formulation of quantum field theory are applied to the Klein-Gordon and the Dirac fields to obtain the quantum equations of…

High Energy Physics - Theory · Physics 2007-05-23 Miguel Navarro

We give a brief review of the problem of quantum gravity. After the discussion of the nonrenormalizability of general relativity, we briefly mention the main research directions which aim to resolve this problem. Our attention then focuses…

General Relativity and Quantum Cosmology · Physics 2015-12-22 Aleksandar Mikovic , Marko Vojinovic

D=4, N=4 super-Yang-Mills theory has an off-shell superspace formulation in terms of pure spinor superfields, which is directly inherited from the D=10 theory. That superspace, in particular the choice of pure spinor variables, is less…

High Energy Physics - Theory · Physics 2018-02-14 Martin Cederwall

We provide a pedagogical introduction to $N=1$ supergravity/supersymmetry in relation to particle physics. The various steps in the construction of a generic $N=1$ supergravity model are briefly described, and we focus on its low energy…

High Energy Physics - Theory · Physics 2022-09-28 Florian Domingo , Michel Rausch de Traubenberg

We show that a certain superfield formalism can be used to find an off-shell supersymmetric description for some supersymmetric field theories where conventional superfield formalism does not work. This "new" formalism contains even…

High Energy Physics - Theory · Physics 2009-04-22 Victor Alexandrov , Dmitry Krotov , Andrey Losev , Vyacheslav Lysov

We study the phase space structure and the quantization of a pointlike particle in 2+1 dimensional gravity. By adding boundary terms to the first order Einstein Hilbert action, and removing all redundant gauge degrees of freedom, we arrive…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Hans-Juergen Matschull , Max Welling