The BRST quantization of second-class constrained systems

Bizdadea, C.; Saliu, S. O.

doi:10.1016/0550-3213(95)00475-5

Cited by 29 publications

(41 citation statements)

References 23 publications

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“…This allows us to take half of the constraints in (13,14) as first class constraints Θ a , and the other half as gauge fixing conditions Υ a [8] [24]. We take…”

mentioning

confidence: 99%

Topological sectors and gauge invariance in massive vector-tensor theories in D ≥ 4

Arias

Leal

1997

Physics Letters B

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A family of locally equivalent models is considered. They can be taken as a generalization to d + 1 dimensions of the Topological Massive and "Self-dual" models in 2+1 dimensions. The corresponding 3+1 models are analized in detail. It is shown that one model can be seen as a gauge fixed version of the other, and their space of classical solutions differs in a topological sector represented by the classical solutions of a pure BF model. The topological sector can be gauged out on cohomologically trivial base manifolds but on general settings it may be responsible of the difference in the long distance behaviour of the models. The presence of this topological sector appears explicitly in the partition function of the theories. The generalization of this models to higher dimensions is shown to be straightfoward.

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“…This allows us to take half of the constraints in (13,14) as first class constraints Θ a , and the other half as gauge fixing conditions Υ a [8] [24]. We take…”

mentioning

confidence: 99%

Topological sectors and gauge invariance in massive vector-tensor theories in D ≥ 4

Arias

Leal

1997

Physics Letters B

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“…This quantization procedure was applied to various models [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] using a variety of methods to replace the original second-class model to an equivalent model in which only first-class constraints appear. The conversion of the original second-class system into an equivalent gauge invariant theory can be accomplished without enlarging the phase space, starting from the possibility of interpreting a second-class constraints set as resulting from a gauge-fixing procedure of a first-class constraints one and "undo" gauge-fixing [19][20][21][22][23]. The gauge-unfixing method relies on separating the secondclass constraints into two subsets, one of them being firstclass and the other one providing some canonical gauge conditions for the first-class subset.…”

Section: Introductionmentioning

confidence: 99%

A first-class approach of higher derivative Maxwell–Chern–Simons–Proca model

Sararu

2015

Eur. Phys. J. C

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“…This issue can be solved through the construction of an equivalent first-class system followed by quantization of the resulting first-class system. The construction of the equivalent first-class system can be achieved using the gauge unfixing [2][3][4][5][6] or constraints conversion [7][8][9][10][11] methods. This quantization procedure has been applied to various models [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%