Chen’s iterated integral represents the operator product expansion
نویسندگان
چکیده
منابع مشابه
Chen's Iterated Integral represents the Operator Product Expansion
The recently discovered formalism underlying renormalization theory, the Hopf algebra of rooted trees, allows to generalize Chen's lemma. In its generalized form it describes the change of a scale in Green functions, and hence relates to the operator product expansion. Hand in hand with this generalization goes the generalization of the ordinary factorial n! to the tree factorial t\ Various ide...
متن کاملar X iv : h ep - t h / 99 01 09 9 v 2 2 2 Ja n 19 99 Chen ’ s Iterated Integral represents the Operator Product Expansion
The recently discovered formalism underlying renormalization theory, the Hopf algebra of rooted trees, allows to generalize Chen's lemma. In its generalized form it describes the change of a scale in Green functions, and hence relates to the operator product expansion. Hand in hand with this generalization goes the generalization of the ordinary factorial n! to the tree factorial t !. Various i...
متن کامل/ 99 01 09 9 v 1 2 1 Ja n 19 99 Chen ’ s Iterated Integral represents the Operator Product Expansion
The recently discovered formalism underlying renormalization theory, the Hopf algebra of rooted trees, allows to generalize Chen's lemma. In its generalized form it describes the change of a scale in Green functions, and hence relates to the operator product expansion. Hand in hand with this generalization goes the generalization of the ordinary factorial n! to the tree factorial t !. Various i...
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We discuss the current use of the operator-product expansion in QCD calculations. Treating the OPE as an expansion in inverse powers of an energy-squared variable (with possible exponential terms added), approximating the vacuum expectation value of the operator product by several terms and assuming a bound on the remainder along the euclidean region, we observe how the bound varies with increa...
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Operator product expansion technique is analyzed in abelian and nonabelian field theoretical models with confinement. Special attention is paid to the regimes where nonzero virtuality of vacuum fields is felt by external currents. It is stressed that despite the physics of confinement is sometimes considered as being caused by " soft " fields, it can exhibit the pronounced " hard " effects in OPE.
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ژورنال
عنوان ژورنال: Advances in Theoretical and Mathematical Physics
سال: 1999
ISSN: 1095-0761,1095-0753
DOI: 10.4310/atmp.1999.v3.n3.a7