# Global Anomalies on Lorentzian Space-Times

@article{Schenkel2016GlobalAO, title={Global Anomalies on Lorentzian Space-Times}, author={Alexander Schenkel and Jochen Zahn}, journal={Annales Henri Poincar{\'e}}, year={2016}, volume={18}, pages={2693-2714} }

We formulate an algebraic criterion for the presence of global anomalies on globally hyperbolic space-times in the framework of locally covariant field theory. We discuss some consequences and check that it reproduces the well-known global SU(2) anomaly in four space-time dimensions.

## 5 Citations

Quantum Field Theories on Categories Fibered in Groupoids

- Mathematics, Physics
- 2016

We introduce an abstract concept of quantum field theory on categories fibered in groupoids over the category of spacetimes. This provides us with a general and flexible framework to study quantum…

Background Independence in Gauge Theories

- Mathematics, Physics
- 2018

Classical field theory is insensitive to the split of the field into a background configuration and a dynamical perturbation. In gauge theories, the situation is complicated by the fact that a…

ph ] 1 2 Ju l 2 01 8 Background independence in gauge theories

- 2018

Classical field theory is insensitive to the split of the field into a background configuration and a dynamical perturbation. In gauge theories, the situation is complicated by the fact that a…

ph ] 2 0 A pr 2 01 8 Background independence in gauge theories

- 2019

Classical field theory is insensitive to the split of the field into a background configuration and a dynamical perturbation. In gauge theories, the situation is complicated by the fact that a…

Homotopical Quantum Field Theory

- Physics, Mathematics
- 2019

Algebraic quantum field theory and prefactorization algebra are two mathematical approaches to quantum field theory. In this monograph, using a new coend definition of the Boardman-Vogt construction…

## References

SHOWING 1-10 OF 29 REFERENCES

Consistent and Covariant Anomalies in Gauge and Gravitational Theories

- Physics
- 1984

Abstract The gauge structure of anomalies and the related currents is analyzed in detail. We construct the covariant forms for both the currents and the anomalies for general gauge theories in…

Origins of global anomalies in quantum mechanics

- Physics
- 1986

Simple and tractable examples of abelian and non-abelian gauge systems with global anomalies are presented in quantum mechanics. Explicit calculations are done both in the path-integral and…

Locally covariant chiral fermions and anomalies

- Physics, Mathematics
- 2015

Abstract We define chiral fermions in the presence of non-trivial gravitational and gauge background fields in the framework of locally covariant field theory. This allows to straightforwardly…

Global Aspects of Current Algebra

- Physics
- 1983

A new mathematical framework for the Wess-Zumino chiral effective action is described. It is shown that this action obeys an a priori quantization law, analogous to Dirac's quantization of magnetic…

Hamiltonian interpretation of anomalies

- Physics
- 1985

A family of quantum systems parametrized by the points of a compact space can realize its classical symmetries via a new kind of nontrivial ray representation. We show that this phenomenon in fact…

Locally covariant charged fields and background independence

- Physics, Mathematics
- 2015

We discuss gauge background independence at the example of the charged Dirac field. We show that a perturbative version of background independence, termed perturbative agreement by Hollands and Wald,…

The renormalized locally covariant Dirac field

- Physics, Mathematics
- 2012

The definition of the locally covariant Dirac field is adapted such that it may be charged under a gauge group and in the presence of generic gauge and Yukawa background fields. We construct…

The gravitational anomalies

- Physics
- 1990

Abstract We determine all solutions to the consistency equations which have to be satisfied by anomalies in gravitational theories with a Poincare-invariant ground state.

An SU(2) anomaly

- Physics
- 1982

A new restriction of fermion quantum numbers in gauge theories is derived. For instance, it is shown that an SU(2) gauge theory with an odd number of left-handed fermion doublets (and no other…

The Generally Covariant Locality Principle – A New Paradigm for Local Quantum Field Theory

- Physics, Mathematics
- 2001

Abstract: A new approach to the model-independent description of quantum field theories will be introduced in the present work. The main feature of this new approach is to incorporate in a local…