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Positive energy ray representations of the Poincar\'e group are naturally subdivided into three classes according to their mass and spin content: m>0, m=0 finite helicity and m=0 infinite helicity. For a long time the localization…

General Physics · Physics 2017-01-12 Bert Schroer

The almost 7 decades lasting futile attempts to understand the possible physical content of the third Wigner representation class (the infinite spin class) came to a partial solution with the 2006 discovery of existence of string-localized…

General Relativity and Quantum Cosmology · Physics 2014-11-12 Bert Schroer

In contrast to the usual representations of of the Poincar\'e group of finite spin or helicity the Wigner representations of mass zero and infinite spin are known to be incompatible with pointlike localized quantum fields. We present here a…

Mathematical Physics · Physics 2009-11-10 Jens Mund , Bert Schroer , Jakob Yngvason

Massive quantum matter of prescribed spin permits infinitely many possibilities of covariantization in terms of spinorial (undotted/dotted) pointlike fields, whereas massless finite helicity representations lead to large gap in this…

High Energy Physics - Theory · Physics 2012-01-30 Bert Schroer

Particles states transforming in one of the infinite spin representations of the Poincar\'e group (as classified by E. Wigner) are consistent with fundamental physical principles, but local fields generating them from the vacuum state…

Mathematical Physics · Physics 2017-09-20 Roberto Longo , Vincenzo Morinelli , Karl-Henning Rehren

Wigner's famous 1939 classification of positive energy representations, combined with the more recent modular localization principle, has led to a significant conceptual and computational extension of renormalized perturbation theory to…

High Energy Physics - Theory · Physics 2014-08-28 Bert Schroer

We consider a quantum field theory on a spherically symmetric quantum space time described by loop quantum gravity. The spin network description of space time in such a theory leads to equations for the quantum field that are discrete. We…

General Relativity and Quantum Cosmology · Physics 2015-06-02 Rodolfo Gambini , Jorge Pullin

We present a construction of string--localized covariant free quantum fields for a large class of irreducible (ray) representations of the Poincare group. Among these are the representations of mass zero and infinite spin, which are known…

High Energy Physics - Theory · Physics 2008-11-26 Jens Mund

It is often overlooked that local quantum physics has a built in quantum localization structure which may under certain circumstances disagree with (differential, algebraic) geometric ideas. String theory originated from such a spectacular…

General Physics · Physics 2010-07-27 Bert Schroer

The observed astrophysical phenomenon of dark matter has generated new interest in the problem of whether the principles underlying QFT are consistent with invisibility/inertness of energy-momentum carrying "stuff" as e.g. "unparticles". We…

High Energy Physics - Theory · Physics 2009-06-02 Bert Schroer

The crossing property is perhaps the most subtle aspect of the particle-field relation. Although it is not difficult to state its content in terms of certain analytic properties relating different matrixelements of the S-matrix or…

Mathematical Physics · Physics 2010-11-23 Bert Schroer

It is well-known that a (point-localized) free quantum field for massive particles with spin $s$ acting in a Hilbert space has at best scaling dimension $s+1$, which excludes its use in the perturbative construction of renormalizable…

High Energy Physics - Theory · Physics 2017-09-13 Jens Mund , Erichardson T. de Oliveira

We review our recent work on quantum foundations of quantum mechanics, quantum field theory and quantum gravity (formulated as metastring theory) and various implications for the problems of dark matter and dark energy. The first point…

High Energy Physics - Theory · Physics 2020-03-03 Djordje Minic

A formulation of non-relativistic quantum mechanics in terms of Newtonian particles is presented in the shape of a set of three postulates. In this new theory, quantum systems are described by ensembles of signed particles which behave as…

General Physics · Physics 2015-09-23 Jean Michel Sellier

The classification of elementary particles based on unitary irreducible representations of the Poincare group has been a cornerstone of modern Quantum Field Theory (QFT). While the Standard Model (SM) does not inherently include Dark Matter…

High Energy Physics - Phenomenology · Physics 2025-06-16 Cheng-Yang Lee , Ruifeng Leng , Siyi Zhou

We study free, covariant, quantum (Bose) fields that are associated with irreducible representations of the Poincar\'e group and localized in semi-infinite strings extending to spacelike infinity. Among these are fields that generate the…

Mathematical Physics · Physics 2009-11-11 J. Mund , B. Schroer , J. Yngvason

Solutions of classical string theory, correspondent to the world sheets, mapped in Minkowsky space with a fold, are considered. Typical processes for them are creation of strings from vacuum, their recombination and annihilation. These…

High Energy Physics - Theory · Physics 2009-10-31 Stanislav Klimenko , Igor Nikitin

For any massless, irreducible representation of the covering of the proper, orthochronous Poincar\'e group we construct covariant, free quantum fields that generate the representation space from the vacuum and are localized in semi-infinite…

Mathematical Physics · Physics 2015-06-03 M. Plaschke , J. Yngvason

The apparent observation of dark energy poses problems for string theory. In de Sitter space, or in quintessence models, one cannot define a gauge-invariant S-matrix. We argue that eternal quintessence does not arise in weakly coupled…

High Energy Physics - Theory · Physics 2016-09-06 Tom Banks , Michael Dine

It is shown that the recently introduced positivity and causality preserving string-local quantum field theory (SLFT) resolves most No-Go situations in higher spin problems. This includes in particular the Velo-Zwanziger causality problem…

Mathematical Physics · Physics 2019-04-03 Bert Schroer
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