Manifestly covariant canonical quantization II: Gauge theory and anomalies

dc.creatorLarsson, T. A.
dc.date2005-01-07
dc.date2005-01-11
dc.date.accessioned2026-07-25T21:28:04Z
dc.descriptionIn hep-th/0411028 a new manifestly covariant canonical quantization method was developed. The idea is to quantize in the phase space of arbitrary histories first, and impose dynamics as first-class constraints afterwards. The Hamiltonian is defined covariantly as the generator of rigid translations of the fields relative to the observer. This formalism is now applied to theories with gauge symmetries, in particular electromagnetism and Yang-Mills theory. The gauge algebra acquires an abelian extension proportional to the quadratic Casimir operator. Unlike conventional gauge anomalies proportional to the third Casimir, this is not inconsistent. On the contrary, a well-defined and non-zero charge operator is only compatible with unitarity in the presence of such anomalies. This anomaly is invisible in field theory because it is a functional of the observer's trajectory, which is conventionally ignored.
dc.descriptionAdded two references. 48 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0501043
dc.identifierhttp://arxiv.org/abs/hep-th/0501043
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/79775
dc.subjectHigh Energy Physics - Theory
dc.titleManifestly covariant canonical quantization II: Gauge theory and anomalies
dc.typetext

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