# Quantization of the Proca field in curved spacetimes - A study of mass dependence and the zero mass limit

@article{Schambach2017QuantizationOT, title={Quantization of the Proca field in curved spacetimes - A study of mass dependence and the zero mass limit}, author={Maximilian Schambach}, journal={arXiv: Mathematical Physics}, year={2017} }

In this thesis we investigate the Proca field in arbitrary globally hyperbolic curved spacetimes. We rigorously construct solutions to the classical Proca equation, including external sources and without restrictive assumptions on the topology of the spacetime, and investigate the classical zero mass limit. We find that the limit exists if we restrict the class of test one-forms to those that are co-closed, effectively implementing a gauge invariance by exact distributional one-forms of the…

## One Citation

### The Proca Field in Curved Spacetimes and its Zero Mass Limit

- Physics, MathematicsReports on Mathematical Physics
- 2018

## References

SHOWING 1-10 OF 60 REFERENCES

### Quantization of the Maxwell field in curved spacetimes of arbitrary dimension

- Physics, Mathematics
- 2009

We quantize the massless p-form field that obeys the generalized Maxwell field equations in curved spacetimes of dimension n ⩾ 2. We begin by showing that the classical Cauchy problem of the…

### Dynamical Locality of the Free Maxwell Field

- Physics
- 2016

The extent to which the non-interacting and source-free Maxwell field obeys the condition of dynamical locality is determined in various formulations. Starting from contractible globally hyperbolic…

### Quantum fields in curved spacetime

- Physics
- 1997

For the O(N) field theory with λΦ4 self-coupling, we construct the twoparticle-irreducible (2PI), closed-time-path (CTP) effective action in a general curved spacetime. From this we derive a set of…

### Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics

- Physics
- 1994

In this book, Robert Wald provides a pedagogical introduction to the formulation of quantum field theory in curved spacetime. He begins with a treatment of the ordinary one-dimensional quantum…

### The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes

- Mathematics
- 1996

Quantum fields propagating on a curved spacetime are investigated in terms of microlocal analysis. We discuss a condition on the wave front set for the correspondingn-point distributions, called…

### Wave Equations on Lorentzian Manifolds and Quantization

- Mathematics
- 2007

This book provides a detailed introduction to linear wave equations on Lorentzian manifolds (for vector-bundle valued fields). After a collection of preliminary material in the first chapter one…

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

- 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…

### QUANTIZED FIELDS AND PARTICLE CREATION IN EXPANDING UNIVERSES. II.

- Physics
- 1969

Spin-0 fields of arbitrary mass and massless fields of arbitrary spin are considered. The equations governing the fields are the covariant generalizations of the special-relativistic free-field…

### Dynamical Locality and Covariance: What Makes a Physical Theory the Same in all Spacetimes?

- Physics
- 2012

The question of what it means for a theory to describe the same physics on all spacetimes (SPASs) is discussed. As there may be many answers to this question, we isolate a necessary condition, the…

### Quantization of Maxwell’s Equations on Curved Backgrounds and General Local Covariance

- Mathematics
- 2012

We develop a quantization scheme for Maxwell’s equations without source on an arbitrary oriented four-dimensional globally hyperbolic spacetime. The field strength tensor is the key dynamical object…