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The ‘BRST-invariant ’ Condensate of Dimension Two in QCD

by B. M. Gripaios , 2003
"... The status of the ‘BRST-invariant ’ condensate of mass dimension two in QCD is explained. The condensate is only invariant under an ‘on-shell ’ BRST symmetry which includes a partial gauge fixing. The on-shell BRST symmetry represents the residual gauge symmetry under gauge transformations which pre ..."
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preserve the partial gauge fixing. The gauge-invariant operators which correspond to the BRST-invariant condensate are identified in the Lorentz and maximal Abelian gauges and are shown to be invariant under the residual gauge transformations.

UCSBTH-91-47 Correlators of Special States in c=1 Liouville Theory

by Miao Li , 1991
"... We genaralize the ground ring struture to all other special BRST invariant operators in the right branch in the c = 1 Liouville theory. we also discuss correlation functions of special states on the sphere. 10/91 ..."
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We genaralize the ground ring struture to all other special BRST invariant operators in the right branch in the c = 1 Liouville theory. we also discuss correlation functions of special states on the sphere. 10/91

UT-HEP-696-94 hepth/9412226 Calculation of Gromov-Witten invariants

by Masao Jinzenji, Yi Sun , 1994
"... Using the associativity relations of the topological Sigma Models with target spaces, CP 3,CP 4 and Gr(2,4) , we derive recursion relations of their correlation and evaluate them up to certain order in the expansion over the instantons. The expansion coeffieients are regarded as the number of ration ..."
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of rational curves in CP 3,CP 4 and Gr(2,4) which intersect various types of submanifolds corresponding to the choice of BRST invariant operators in the correlation functions. 1 1

A PROOF OF BRST INVARIANCE

by T Ortín
"... Abstract Introducing a geometric normal ordering, we give a proof of BRST invariance of the states associated to an arbitrary genus Riemann surface with a puncture, in the operator formalism. FTUAM/88-35 * Work supported in part by the program 'Ayudas para estancias breves en centros de invest ..."
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Abstract Introducing a geometric normal ordering, we give a proof of BRST invariance of the states associated to an arbitrary genus Riemann surface with a puncture, in the operator formalism. FTUAM/88-35 * Work supported in part by the program 'Ayudas para estancias breves en centros de

(Non)triviality of Pure Spinors and Exact Pure Spinor- RNS Map

by Dimitri Polyakov , 2008
"... All the BRST-invariant operators in pure spinor formalism in d = 10 can be represented as BRST commutators, such as V = {Qbrst, θ+ λ+ V} where λ+ is the U(5) component of the pure spinor transforming as 1 5. Therefore, in order to secure non-triviality of BRST 2 cohomology in pure spinor string theo ..."
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All the BRST-invariant operators in pure spinor formalism in d = 10 can be represented as BRST commutators, such as V = {Qbrst, θ+ λ+ V} where λ+ is the U(5) component of the pure spinor transforming as 1 5. Therefore, in order to secure non-triviality of BRST 2 cohomology in pure spinor string

BV-STRUCTURE OF THE COHOMOLOGY OF NILPOTENT SUBALGEBRAS AND THE GEOMETRY OF (W-) STRINGS

by Peter Bouwknegt, Jim Mccarthy, Krzysztof Pilch , 1995
"... Given a simple, simply laced, complex Lie algebra g corresponding to the Lie group G, let n+ be the subalgebra generated by the positive roots. In this paper we construct a BV-algebra BV[g] whose underlying graded commutative algebra is given by the cohomology, with respect to n+, of the algebra of ..."
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of regular functions on G with values in ∧ (n+\g). We conjecture that BV[g] describes the algebra of all physical (i.e., BRST invariant) operators of the noncritical W[g] string. The conjecture is verified in the two explicitly known cases, g = sl2 (the Virasoro string) and g = sl3 (the W3 string). USC-95

unknown title

by K. -i. Kondo, T. Murakami, T. Shinohara, T. Imai , 2002
"... Renormalizing a BRST-invariant composite operator ..."
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Renormalizing a BRST-invariant composite operator

unknown title

by K. -i. Kondo, T. Murakami, T. Shinohara, T. Imai , 2001
"... Renormalizing a BRST-invariant composite operator ..."
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Renormalizing a BRST-invariant composite operator

Comments on the Equivalence between Chern-Simons Theory and Topological Massive Yang-Mills Theory in 3D

by Andrea Quadri, Föhringer Ring D München , 2002
"... The classical formal equivalence upon a redefinition of the gauge connection between Chern-Simons theory and topological massive Yang-Mills theory in three-dimensional Euclidean spacetime is analyzed at the quantum level within the BRST formulation of the Equivalence Theorem. The parameter controlli ..."
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expansion by a recursive choice of non-invariant counterterms. The Green functions of local operators constructed only from the (λ-dependent) transformed gauge connection, as well as those of BRST invariant operators, are shown to be independent of the parameter λ, as a consequence of the validity of the ST

Quantum BRST properties of reparametrization invariant theories

by Robert Marnelius, Niclas S
"... Any regular quantum mechanical system may be cast into an abelian gauge theory by simply reformulating it as a reparametrization invariant theory. We present a detailed study of the BRST quantization of such reparametrization invariant theories within a precise operator version of BRST. The treatmen ..."
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Any regular quantum mechanical system may be cast into an abelian gauge theory by simply reformulating it as a reparametrization invariant theory. We present a detailed study of the BRST quantization of such reparametrization invariant theories within a precise operator version of BRST
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