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1. In quantum field theory, the operator product expansion (OPE) is used as an axiom to define the product of fields as a sum over the same fields.
2. In general, the operator product expansion may not separate into holomorphic and anti-holomorphic parts, especially if there are log ⁡ z {\displaystyle \log z} terms in the expansion.
3. For conformal field theory and specifically for 2d CFT the operator product expansion is well understood, is neatly captured by the concept of vertex operator algebras.
4. This is equivalent to calculating operator product expansions in two-dimensional conformal field theory.
5. Nature of problem: Calculate operator product expansions (OPEs) of composite fields in 2d conformal field theory.
6. The Wilson-Zimmermann short distance operator product expansion is presented and some hints are given on its understanding, with particular emphasis on power counting.
7. An example of an operator product expansion is worked out for the .
8. We study the operator product expansion (OPE) for scalar conformal defects of any codimension in CFT.
9. Operator product expansion algebra S. Hollands based on joint work with M. Frb, J. Holland and Ch.
10. In general, the operator product expansion may not separate into holormorphic and anti holomorphic parts, especially if there are log z terms in the expansion.
11. We study how to compute the operator product expansion coefficients in the exact renormalization group formalism.
12. Hollands S., A general PCT theorem for the operator product expansion in curved spacetime, Comm.
13. Further, we can also calculate OPEs of currents expressed by vertex operators.
14. The coefficients of the expansion appear as a byproduct of the operator product expansion for the correlators of the operators W(E) with the chiral primaries of the theory.
15. An operator product expansion (OPE) for the long distance mutual information written in terms of these correlators is then provided.
16. The operator product expansion has been applied to various problems in quantum theory with varying degree of rigour.
17. To apply the operator product expansion in QCD, one is of course faced with the problem of extending it to non-perturbative dynamics.
18. Secondly, some information about the behaviour of the operator product expansion in the complex Q2 plane away from euclidean region, along all rays passing through the origin, is necessary.
19. While Wilsons operator product expansion is originally formulated in the Euclidean domain, its applications are mostly related to quantities of the Minkowski nature.
20. Operator product expansion expresses the product of two elds as the sum of single elds.
21. Do they also satisfy an operator product expansion of the from ij are particularly ?
22. The vertex operator algebra W(2, 33) is C2-conite and the nonmeromorphic operator product expansion exists.
23. Modify the operator product expansion to account for new scale Summary 1.
24. Modify the operator product expansion to account for new scale Looking forward 1.