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The Operator Product Expansion

by Sergio Caracciolo A, Andrea Montanari A, Andrea Pelissetto B , 1999
"... The operator product expansion is used to compute the matrix elements of composite renormalized operators on the lattice. We study the product of two fundamental fields in the two-dimensional σ-model and discuss the possible sources of systematic errors. The key problem turns out to be the violation ..."
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The operator product expansion is used to compute the matrix elements of composite renormalized operators on the lattice. We study the product of two fundamental fields in the two-dimensional σ-model and discuss the possible sources of systematic errors. The key problem turns out

3-Cocycles and the Operator Product Expansion

by Javier P. Muniain, José Wudka , 1995
"... Anomalous contributions to the Jacobi identity of chromo-electric fields and non-Abelian vector currents are calculated using a non-perturbative approach that combines operator product expansion and a generalization of Bjorken-Johnson-Low limit. The failure of the Jacobi identity and the associated ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
Anomalous contributions to the Jacobi identity of chromo-electric fields and non-Abelian vector currents are calculated using a non-perturbative approach that combines operator product expansion and a generalization of Bjorken-Johnson-Low limit. The failure of the Jacobi identity and the associated

The Operator Product Expansion on the Lattice

by W. Bietenholza, N. Cundyb, M. Göckelerb, R. Horsleyc, H. Perltd, D. Pleitera, P. E. L. Rakow∗e, C. J. Robertse, G. Schierholza, A. Schillerd, J. M. Zanottic , 2007
"... ar ..."
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Operator product expansion algebra

by Jan Holl, Stefan Holl , 2014
"... ar ..."
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Operator Product Expansion. PRESENTED AT

by Paolo Gambinoa, Christoph Schw , 2013
"... We review recent experimental and theoretical developments in inclu-sive semileptonic B → Xc`ν decays. In particular, we discuss the deter-mination of |Vcb | and of the heavy quark masses through fits based on the ..."
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We review recent experimental and theoretical developments in inclu-sive semileptonic B → Xc`ν decays. In particular, we discuss the deter-mination of |Vcb | and of the heavy quark masses through fits based on the

Locally-Smeared Operator Product Expansions

by Christopher Monahan, Kostas Orginos
"... We propose a “locally-smeared Operator Product Expansion ” (sOPE) to decompose non-local operators in terms of a basis of locally-smeared operators. The sOPE formally connects non-perturbative matrix elements of smeared degrees of freedom, determined numerically using the gradient flow, to non-local ..."
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We propose a “locally-smeared Operator Product Expansion ” (sOPE) to decompose non-local operators in terms of a basis of locally-smeared operators. The sOPE formally connects non-perturbative matrix elements of smeared degrees of freedom, determined numerically using the gradient flow, to non

Operator product expansion in two-dimensional quantum gravity

by Hajime Aoki, Hikaru Kawai, Jun Nishimura, Asato Tsuchiya - Nucl. Phys. B , 1996
"... We consider correlation functions of operators and the operator product expansion in two-dimensional quantum gravity. First we introduce correlation functions with geodesic distances between operators kept fixed. Next by making two of the operators closer, we examine if there exists an analog of the ..."
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We consider correlation functions of operators and the operator product expansion in two-dimensional quantum gravity. First we introduce correlation functions with geodesic distances between operators kept fixed. Next by making two of the operators closer, we examine if there exists an analog

Operator Product Expansion in Logarithmic Conformal Field Theory

by unknown authors , 2002
"... In logarithmic conformal field theory, primary fields come together with logarithmic partner fields on which the stress-energy tensor acts non-diagonally. Exploiting this fact and global conformal invariance of two- and three-point functions, operator product expansions of logarithmic operators in a ..."
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In logarithmic conformal field theory, primary fields come together with logarithmic partner fields on which the stress-energy tensor acts non-diagonally. Exploiting this fact and global conformal invariance of two- and three-point functions, operator product expansions of logarithmic operators

Operator Product Expansion, Renormalization Group and Weak Decays

by Andrzej J. Buras, Technische Universität München, Heff Gf
"... A non-technical description of the Operator Product Expansion and Renormalization Group techniques as applied to weak decays of mesons is presented. We use this opportunity to summarize briefly the present status of the next-to-leading QCD corrections to weak decays and their implications for the un ..."
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A non-technical description of the Operator Product Expansion and Renormalization Group techniques as applied to weak decays of mesons is presented. We use this opportunity to summarize briefly the present status of the next-to-leading QCD corrections to weak decays and their implications

Quantum Inequalities from Operator Product Expansions

by Henning Bostelmann, Christopher J. Fewster , 2008
"... Dedicated to the memory of Bernd Kuckert. Quantum inequalities are lower bounds for local averages of quantum observables that have positive classical counterparts, such as the energy density or the Wick square. We establish such inequalities in general (possibly interacting) quantum field theories ..."
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on Minkowski space, using nonperturbative techniques. Our main tool is a rigorous version of the operator product expansion. 1
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