Is the spin connection confined or condensed? - INSPIRE

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Is the spin connection confined or condensed?

John F. Donoghue
(
- Massachusetts U., Amherst
)

Sep 12, 2016

6 pages

Published in:

Phys.Rev.D 96 (2017) 4, 044003

Published: Aug 7, 2017

e-Print:

1609.03523 [hep-th]

DOI:

10.1103/PhysRevD.96.044003

Report number:

ACFI-T16-24

View in:

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Abstract: (APS)

The spin connection enters the theory of gravity as a non-Abelian gauge field associated with local Lorentz transformations. Normally it is eliminated from making an extra assumption—that of the metricity of the vierbein field. However, treated by itself with the usual gauge action, it has a negative beta function, implying that it is asymptotically free. I suggest that the spin connection could be confined (or perhaps partially confined) in the same way as other non-Abelian gauge fields. This would remove the need to make the extra assumption of metricity, as the spin connection would not be present in the low energy theory, leaving the symmetry to be realized only using metric variables.

Note:

6 pages - some new references, Euclidean discussion enhanced and partial-Euclidean discussion removed

gauge field theory: nonabelian
transformation: Lorentz
energy: low
spin: effect
beta function
gravitation
confinement
asymptotic freedom

References(16)

Figures(0)

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