Effective action for a quantum scalar field in warped spaces

J M Hoff Da Silva,E L Mendonça,E Scatena

doi:10.1140/epjc/s10052-015-3750-9

J M Hoff Da Silva, E L Mendonça + Show 1 more

Open Access

https://doi.org/10.1140/epjc/s10052-015-3750-9

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Abstract

We investigate the one-loop corrections at zero, as well as finite temperature, of a scalar field taking place in a braneworld motived warped background. After to reach a well defined problem, we calculate the effective action with the corresponding quantum corrections to each case.

Highlights

The subtlety of quantum field theory (QFT) in curved spacetime is well known
On general grounds it is possible to split the approaches of quantum formulations in curved spacetimes in two branches: extension of the usual formalism by applying and adapting the flat background formulation to the curved case and, on the other hand, construction of an entirely new framework, as the formulation of algebraic quantum field [5] serves as a prominent example
In this paper we adopt the former approach, represented by the background-field method [7,8], and we investigate how the quantization upon warped spaces can bring new features for both theories, QFT in curved spaces and non-factorizable geometries

Summary

Introduction

The subtlety of quantum field theory (QFT) in curved spacetime is well known. there are several seminal works elaborating on the many sharp points necessary for the establishment of such a theory [1,2]. In this paper we adopt the former approach, represented by the background-field method [7,8], and we investigate how the quantization upon warped spaces can bring new features for both theories, QFT in curved spaces and non-factorizable geometries. The application of the usual background-field method for quantization in curved spaces rests upon the (plausible) hypothesis that in a neighborhood of a given point over the basis manifold, the momentum space can be accessed, at least in some approximation. In this vein, by means of a local momentum space representation, the Minkowski space techniques may be applied.

Outlook of the formalism

Warped braneworld peculiarities

Effective lagrangian for a quantum scalar field in warped space

Finite-temperature corrections

Final remarks