A Bilocal Field Theory in Four Dimensions
Takayuki Hori
TL;DR
This paper introduces a four-dimensional bilocal field theory with M"{o}bius gauge invariance, highlighting a unique zero momentum state and constructing a gauge-invariant Lagrangian specific to four dimensions.
Contribution
It presents a novel four-dimensional bilocal field theory with gauge invariance and identifies a special zero momentum state within its BRS cohomology.
Findings
Existence of a zero momentum state in the model
Construction of a four-dimensional gauge-invariant Lagrangian
Identification of a non-trivial BRS cohomology class
Abstract
A bilocal field theory having M\"{o}bius gauge invariance is proposed. In four dimensions there exists a zero momentum state of the first quantized model, which belongs to a non-trivial BRS cohomology class. A field theory lagrangian having a gauge invariance only in four dimensions is constructed.
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