183 research outputs found
Strictly Wrong as a Tax Policy: The Strict Liability Penalty Standard in Noneconomic Substance Transactions
Is Barbero's Hamiltonian formulation a Gauge Theory of Lorentzian Gravity?
This letter is a critique of Barbero's constrained Hamiltonian formulation of
General Relativity on which current work in Loop Quantum Gravity is based.
While we do not dispute the correctness of Barbero's formulation of general
relativity, we offer some criticisms of an aesthetic nature. We point out that
unlike Ashtekar's complex SU(2) connection, Barbero's real SO(3) connection
does not admit an interpretation as a space-time gauge field. We show that if
one tries to interpret Barbero's real SO(3) connection as a space-time gauge
field, the theory is not diffeomorphism invariant. We conclude that Barbero's
formulation is not a gauge theory of gravity in the sense that Ashtekar's
Hamiltonian formulation is. The advantages of Barbero's real connection
formulation have been bought at the price of giving up the description of
gravity as a gauge field.Comment: 12 pages, no figures, revised in the light of referee's comments,
accepted for publication in Classical and Quantum Gravit
What the Publisher Can Teach the Patient: Intellectual Property and Privacy in an Era of Trusted Privication
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