Toggle Main Menu Toggle Search

Open Access padlockePrints

The Newcastle University research output collection, currently available on ePrints, will shortly be moving to a new open repository platform, Figshare. To prepare for the data migration we have paused adding new content to ePrints, and will resume once the new repository is launched. During this time you will continue to have access to ePrints (but no new content will appear). We will share updates here when available.

BRST-invariant boundary conditions and strong ellipticity

Lookup NU author(s): Professor Ian MossORCiD

Downloads

Licence

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).

Abstract

The quantization of gauge theories usually proceeds through the introduction of ghost fields and Becchi-Rouet-Stora-Tyutin (BRST) symmetry. In the case of quantum gravity in the presence of boundaries, the BRST-invariant boundary value problem for the gauge field operators is nonelliptic, and consequently the definition of the effective action using heat-kernel techniques becomes problematic. This paper examines general classes of BRST-invariant boundary conditions and presents new boundary conditions for quantum gravity that fix the extrinsic curvature on the boundary and lead to a well-defined effective action. This prompts a discussion of the wider issue of nonellipticity in BRST-invariant boundary value problems and when the use of gauge-fixing terms on the boundary can resolve the issue.

Publication metadata

Author(s): Moss IG

Publication type: Article

Publication status: Published

Journal: Physical Review D

Year: 2013

Volume: 88

Issue: 10

Print publication date: 26/11/2013

Date deposited: 30/07/2014

ISSN (print): 1550-7998

ISSN (electronic): 1550-2368

Publisher: American Physical Society

URL: http://dx.doi.org/10.1103/PhysRevD.88.104039

DOI: 10.1103/PhysRevD.88.104039

Altmetrics

Altmetrics provided by Altmetric

Share