On Nonlinear Gauge Theory from a Deformation Theory Perspective | Zendy

Kazushi Izawa | Zendy

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On Nonlinear Gauge Theory from a Deformation Theory Perspective

Author(s) -

Kazushi Izawa

Publication year - 2000

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.103.225

Subject(s) - physics , gauge theory , quantum gauge theory , algebra over a field , introduction to gauge theory , quantization (signal processing) , supersymmetric gauge theory , nonlinear system , mathematical physics , gauge fixing , theoretical physics , gauge boson , pure mathematics , quantum mechanics , mathematics , algorithm

Nonlinear gauge theory is a gauge theory based on a nonlinear Lie algebra(finite W algebra) or a Poisson algebra, which yields a canonical star productfor deformation quantization as a correlator on a disk. We pursue nontrivialdeformation of topological gauge theory with conjugate scalars in twodimensions. This leads to two-dimensional nonlinear gauge theory exclusively,which implies its essential uniqueness. We also consider a possible extensionto higher dimensions.Comment: 6 pages, late

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