Gauge-fixing, semiclassical approximation and potentials for graded Chern-Simons theories | Zendy

Calin Iuliu Lazaroiu | Zendy; Radu Roiban | Zendy

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Gauge-fixing, semiclassical approximation and potentials for graded Chern-Simons theories

Author(s) -

Calin Iuliu Lazaroiu,

Radu Roiban

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/03/022

Subject(s) - semiclassical physics , chern–simons theory , gauge fixing , massless particle , mathematical physics , gauge (firearms) , feynman diagram , physics , simple (philosophy) , gauge theory , brst quantization , action (physics) , constraint (computer aided design) , type (biology) , theoretical physics , mathematics , quantum mechanics , gauge boson , quantum , philosophy , geometry , ecology , archaeology , epistemology , biology , history

We perform the Batalin-Vilkovisky analysis of gauge-fixing for gradedChern-Simons theories. Upon constructing an appropriate gauge-fixing fermion,we implement a Landau-type constraint, finding a simple form of the gauge-fixedaction. This allows us to extract the associated Feynman rules taking intoaccount the role of ghosts and antighosts. Our gauge-fixing procedure allowsfor zero-modes, hence is not limited to the acyclic case. We also discuss thesemiclassical approximation and the effective potential for massless modes,thereby justifying some of our previous constructions in the Batalin-Vilkoviskyapproach.Comment: 46 pages, 4 figure

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