Lorentz Gauge Invariant Vacuum Functionals for Quantized Spinor Fields in Nonsimply Connected Space-times

Avis, S.J.; Isham, C.J.

doi:10.1016/0550-3213(79)90203-7

Lorentz Gauge Invariant Vacuum Functionals for Quantized Spinor Fields in Nonsimply Connected Space-times

Jan, 1979

15 pages

Published in:

Nucl.Phys.B 156 (1979) 441-455

Published: 1979

DOI:

10.1016/0550-3213(79)90203-7

Report number:

ICTP/78-79/6

View in:

AMS MathSciNet

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Abstract: (Elsevier)

We show that on multiply connected space-times the conventional vacuum generating functional for spinor fields is not, in general, invariant under local Lorentz gauge transformations. This problem is resolved and several classes of Lorentz gauge invariant generating functionals are constructed. In particular, one class is shown to arise in a natural way in a specific quantum gravity framework and some of the physical implications of these functionals are discussed.

FIELD THEORY: SPINOR
FIELD THEORY: VACUUM STATE
TRANSFORMATION: GAUGE
FUNCTIONAL ANALYSIS
INVARIANCE: GAUGE
INVARIANCE: LORENTZ

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