The observer’s ghost: notes on a field space connection - INSPIRE

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The observer’s ghost: notes on a field space connection

Aug 29, 2016

19 pages

Published in:

JHEP 05 (2017) 017

Published: May 3, 2017

e-Print:

1608.08226 [math-ph]

DOI:

10.1007/JHEP05(2017)017

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Abstract: (Springer)

We introduce a functional covariant differential as a tool for studying field space geometry in a manifestly covariant way. We then touch upon its role in gauge theories and general relativity over bounded regions, and in BRST symmetry. Due to the Gribov problem, we argue that our formalism — allowing for a non-vanishing functional curvature — is necessary for a global treatment of gauge-invariance in field space. We conclude by suggesting that the structures we introduce satisfactorily implement the notion of a (non-asymptotic) observer in gauge theories and general relativity.

Note:

17 pages + appendix and references v2 includes more discussion on the meaning of the field space connection in the path integral

Gauge Symmetry
Space-Time Symmetries
Differential and Algebraic Geometry
BRST Quantization
ghost
gauge field theory
general relativity
symmetry: Becchi-Rouet-Stora
fibre bundle
functional analysis

References(35)

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