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A Relation between the Anomalous Dimensions and OPE Coefficients in Asymptotic
, 1996
"... In asymptotic free field theories we show that part of the OPE of the trace of the stressenergy tensor and an arbitrary composite field is determined by the anomalous dimension of the composite field. We take examples from the twodimensional O(N) nonlinear sigma model. ..."
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In asymptotic free field theories we show that part of the OPE of the trace of the stressenergy tensor and an arbitrary composite field is determined by the anomalous dimension of the composite field. We take examples from the twodimensional O(N) nonlinear sigma model.
Axiomatic quantum field theory in curved spacetime
, 2008
"... The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary globa ..."
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Cited by 689 (18 self)
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to a fundamental status, and, in essence, all of the properties of the quantum field theory are determined by its OPE. We provide general axioms for the OPE coefficients of a quantum field theory. These include a local and covariance assumption (implying that the quantum field theory is locally
Current OPEs in Superconformal Theories
"... It’s well known that in conformal theories the two and threepoint functions of a subset of the local operators—the conformal primaries—suffice, via the operator product expansion (OPE), to determine all local correlation functions of operators. It’s less well known that, in superconformal theories ..."
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SCFTs. The currentcurrent OPE J(x)J(0) has applications to general gauge mediation. We show how the superconformal symmetry, when combined with current conservation, determines the OPE coefficients of superconformal descendants in terms of those of the superconformal primaries. We show that only
Superconformally Covariant OPE and General Gauge Mediation
 JHEP 1112, 064 (2011), arXiv:1109.4940. F J.F. Fortin & A. Stergiou, “Fieldtheoretic Methods in StronglyCoupled Models of General Gauge Mediation”, Nucl.Phys. B873
"... We consider using broken superconformal symmetry and the super operator product expansion (sOPE) to constrain and analyze hidden sector theories that couple to our gauge forces and are not necessarily weakly coupled. Conformal and supersymmetry breaking are IR effects, associated with field or spur ..."
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Cited by 1 (1 self)
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or spurion expectation values, whereas the sOPE is determined in the UV and hence does not notice the breaking. The broken superconformal symmetry relates OPE coefficients of superconformal descendant operators to those of the superconformal primaries. We apply these ideas to the current correlators of gen
Nucleon structure in terms of OPE with nonperturbative Wilson coefficients
, 2008
"... Lattice calculations could boost our understanding of Deep Inelastic Scattering by evaluating moments of the Nucleon Structure Functions. To this end we study the product of electromagnetic currents between quark states. The Operator Product Expansion (OPE) decomposes it into matrix elements of loca ..."
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Lattice calculations could boost our understanding of Deep Inelastic Scattering by evaluating moments of the Nucleon Structure Functions. To this end we study the product of electromagnetic currents between quark states. The Operator Product Expansion (OPE) decomposes it into matrix elements
Nucleon structure in terms of OPE with nonperturbative Wilson coefficients
, 2008
"... Lattice calculations could boost our understanding of Deep Inelastic Scattering by evaluating moments of the Nucleon Structure Functions. To this end we study the product of electromagnetic currents between quark states. The Operator Product Expansion (OPE) decomposes it into matrix elements of loca ..."
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Lattice calculations could boost our understanding of Deep Inelastic Scattering by evaluating moments of the Nucleon Structure Functions. To this end we study the product of electromagnetic currents between quark states. The Operator Product Expansion (OPE) decomposes it into matrix elements
Testing OPE for ghosts, gluons and αs
, 2012
"... We present here our results on extracting Wilson coefficients from different quantities such as ghost and gluon propagators which are calculated by means of Lattice QCD. The results confirm the validity of our method for the calculation of the strong coupling constant as well as allow to estimate th ..."
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We present here our results on extracting Wilson coefficients from different quantities such as ghost and gluon propagators which are calculated by means of Lattice QCD. The results confirm the validity of our method for the calculation of the strong coupling constant as well as allow to estimate
Reshuffling the OPE: Delocalized Operator Expansion
, 2002
"... A prescription for the shortdistance expansion of Euclidean current correlators based on a delocalized modification of the multipole expansion of perturbative shortdistance coefficient functions is proposed that appreciates the presence of nonlocal physics in the nonperturbative QCD vacuum. This e ..."
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A prescription for the shortdistance expansion of Euclidean current correlators based on a delocalized modification of the multipole expansion of perturbative shortdistance coefficient functions is proposed that appreciates the presence of nonlocal physics in the nonperturbative QCD vacuum
Results 1  10
of
178