A Hilbert Space Setting for Interacting Higher Spin Fields and the Higgs Issue

@article{Schroer2014AHS,
  title={A Hilbert Space Setting for Interacting Higher Spin Fields and the Higgs Issue},
  author={Bert Schroer},
  journal={Foundations of Physics},
  year={2014},
  volume={45},
  pages={219-252}
}
  • B. Schroer
  • Published 1 July 2014
  • Physics
  • Foundations of Physics
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 interactions involving fields of higher spin. Traditionally the clash between pointlike localization and the the Hilbert space was resolved by passing to a Krein space setting which resulted in the well-known BRST gauge formulation. Recently it turned out that… 

A Hilbert Space setting for higher spin interactions which replaces Gauge Theory

The recently discovered Hilbert space description of renormalizable interactions of higher spin (equal or bigger than 1) fields requires to replace the pointlocal s=1 vectorpotentials of indefinite

A Hilbert Space setting for s ≥1 interactions which replaces Gauge Theory

The recently discovered Hilbert space description of renormalizable interactions of higher spin s�1 fields requires to replace the pointlocal s=1 vectorpotentials of indefinite metric (Krein space)

Peculiarities of massive vector mesons and their zero mass limits

Massive QED, in contrast with its massless counterpart, possesses two conserved charges; one is a screened (vanishing) Maxwell charge which is directly associated with the massive vector mesons

The enigma of dark matter and its possible connection with Wigner's infinite spin representations

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.

Peculiarities of massive vectormesons

Massive QED, different from its massless counterpart, posesses two conserved charges; one is a screened (vanishing) Maxwell charge which is directly associated with the massive vectormesons through

Dark matter and Wigner's third positive-energy representation class

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

The ongoing impact of modular localization on particle theory To the memory of Hans-Jürgen Borchers (1926-2011)

dx.doi.org/10.7437/NF2318-4957/2013.01.002 Modular localization is the concise conceptual formulation of causal localizationin the setting of local quantum physics. Unlike QM it does not refer to

Coulomb Solutions from Improper Pseudo-Unitary Free Gauge Field Operator Translations

Fundamental problems of quantum field theory related to the representation problem of canonical commutation relations are discussed within a gauge field version of a van Hove-type model. The Coulomb

References

SHOWING 1-10 OF 39 REFERENCES

An Alternative to the Gauge Theoretic Setting

The standard formulation of quantum gauge theories results from the Lagrangian (functional integral) quantization of classical gauge theories. A more intrinsic quantum theoretical access in the

String-Localized Quantum Fields, Modular Localization, and Gauge Theories

The concept of modular localization introduced by Brunetti, Guido and Longo, and Schroer, can be used to construct quantum fields. It combines Wigner’s particle concept with the Tomita-Takesaki

The foundational origin of integrability in quantum field theory

The main aim of this work is to relate integrability in QFT with a complete particle interpretation directly to the principle of causal localization, circumventing the standard method of finding

New Light on Infrared Problems: Sectors, Statistics, Symmetries and Spectrum

A new approach to the analysis of the physical state space of a theory is presented within the general setting of local quantum physics. It also covers theories with long range forces, such as

Modular localization and wigner particles

We propose a framework for the free field construction of algebras of local observables which uses as an input the Bisognano–Wichmann relations and a representation of the Poincare group on the

Renormalization of the abelian Higgs-Kibble model

This article is devoted to the perturbative renormalization of the abelian Higgs-Kibble model, within the class of renormalizable gauges which are odd under charge conjugation. The Bogoliubov

Dark matter and Wigner's third positive-energy representation class

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

String-Localized Quantum Fields and Modular Localization

We study free, covariant, quantum (Bose) fields that are associated with irreducible representations of the Poincaré group and localized in semi-infinite strings extending to spacelike infinity.

The ongoing impact of modular localization on particle theory To the memory of Hans-Jürgen Borchers (1926-2011)

dx.doi.org/10.7437/NF2318-4957/2013.01.002 Modular localization is the concise conceptual formulation of causal localizationin the setting of local quantum physics. Unlike QM it does not refer to