Gauge fixing and renormalization in topological quantum field theory

Brooks, Roger; Montano, David; Sonnenschein, Jacob

doi:10.1016/0370-2693(88)90458-3

Cited by 102 publications

(55 citation statements)

References 7 publications

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“…It should be noticed however that S gf displays a significant difference with respect to the original and well-known action for the topological gauge field theory [17,18,4,9]: the gauge choice imposed on the topological ghost makes use of the ordinary space-time partial derivative, viz.,…”

Section: The Classical Action and The Landau Gaugementioning

confidence: 99%

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A renormalized supersymmetry in the topological Yang-Mills field theory

et al. 1994

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Section: The Classical Action and The Landau Gaugementioning

confidence: 99%

“…Mainly for this last reason, the renormalization aspects of Witten's topological model have been widely investigated by several groups in the last few years [4,5,6,7,8]. In ref.…”

Section: Introductionmentioning

confidence: 99%

A renormalized supersymmetry in the topological Yang-Mills field theory

et al. 1994

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“…It has been known for some time that BRST invariance plays an important role in topological eld theory [18,30,31,19]; indeed, the observables in cohomological models correspond to BRST cohomology classes, i.e., operators which are BRST-closed, modulo those which are BRST-exact [5]. The observables are de ned via a set of operators W (i) (i = 0 ; :::; n), which satisfy the following descent equations:…”

Section: Observables Hierarchies From Vector Supersymmetrymentioning

confidence: 99%

The algebraic structure of cohomological field theory

Birmingham

Rakowski

1993

Journal of Geometry and Physics

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The algebraic foundation of cohomological eld theory is presented. It is shown that these theories are based upon realizations of an algebra which contains operators for both BRST and vector supersymmetry. Through a localization of this algebra, we construct a theory of cohomological gravity in arbitrary dimensions. The observables in the theory are polynomial, but generally non-local operators, and have a natural interpretation in terms of a universal bundle for gravity. A s such, their correlation functions correspond to cohomology classes on moduli spaces of Riemannian connections. In this uniformization approach, di erent moduli spaces are obtained by i n troducing curvature singularities on codimension two submanifolds via a puncture operator. This puncture operator is constructed from a naturally occurring di erential form of co-degree two in the theory, and we are led to speculate on connections between this continuum quantum eld theory, and the discrete Regge calculus.

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“…The topological field theory proposed by Witten [1] posed a possibility that N=2 Yang-Mills action can be generated by the twisted version of super Yang-Mills action which is equivalent to the quantized topological Yang-Mills theory. It was soon recognized that Witten's formulation could be derived from the "partially" BRST gauge fixed action of the topological Yang-Mills action with instanton gauge-fixing [2][3][4][5]. Here the twisting procedure played an important role to generate matter fermions from the ghost related fermions.…”

Section: Introductionmentioning

confidence: 99%

Twisted Superspace for N=d=2 Super Bf and Yang–mills With Dirac–kähler Fermion Mechanism

Kato

Kawamoto

Uchida

2004

Int. J. Mod. Phys. A

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We propose a twisted D=N=2 superspace formalism. The relation between the twisted super charges including the BRST charge, vector and pseudo scalar super charges and the N=2 spinor super charges is established. We claim that this relation is essentially related with the Dirac-Kähler fermion mechanism. We show that a fermionic bilinear form of twisted N=2 chiral and anti-chiral superfields is equivalent to the quantized version of BF theory with the Landau type gauge fixing while a bosonic bilinear form leads to the N=2 Wess-Zumino action. We then construct a Yang-Mills action described by the twisted N=2 chiral and vector superfields, and show that the action is equivalent to the twisted version of the D=N=2 super Yang-Mills action, previously obtained from the quantized generalized topological Yang-Mills action with instanton gauge fixing.

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Gauge fixing and renormalization in topological quantum field theory

Cited by 102 publications

References 7 publications

A renormalized supersymmetry in the topological Yang-Mills field theory

A renormalized supersymmetry in the topological Yang-Mills field theory

The algebraic structure of cohomological field theory

Twisted Superspace for N=d=2 Super Bf and Yang–mills With Dirac–kähler Fermion Mechanism

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