Pythagoras0: /* 메타데이터 */ 새 문단

2022-07-08T05:40:41Z

메타데이터: 새 문단

Pythagoras0: /* 노트 */ 새 문단

2022-07-08T05:40:39Z

노트: 새 문단

새 문서

== 노트 ==

===말뭉치===
# 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.<ref name="ref_7ea8fc42">[https://en.wikipedia.org/wiki/Operator_product_expansion Operator product expansion]</ref>
# 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.<ref name="ref_7ea8fc42" />
# 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.<ref name="ref_591e9336">[https://ncatlab.org/nlab/show/operator+product+expansion operator product expansion in nLab]</ref>
# This is equivalent to calculating operator product expansions in two-dimensional conformal field theory.<ref name="ref_15cb7389">[https://www.sciencedirect.com/science/article/pii/0010465594902313 ope.math: operator product expansions in free field realizations of conformal field theory]</ref>
# Nature of problem: Calculate operator product expansions (OPEs) of composite fields in 2d conformal field theory.<ref name="ref_15cb7389" />
# The Wilson-Zimmermann short distance operator product expansion is presented and some hints are given on its understanding, with particular emphasis on power counting.<ref name="ref_7e04f102">[http://www.scholarpedia.org/article/Operator_product_expansion Operator product expansion]</ref>
# An example of an operator product expansion is worked out for the .<ref name="ref_c1cbb5d8">[https://www.semanticscholar.org/paper/OPERATOR-PRODUCT-EXPANSIONS-AND-ANOMALOUS-IN-THE-Wilson/0bc8c6b3d172ddca60ec3bf66794315973c4efca PDF OPERATOR-PRODUCT EXPANSIONS AND ANOMALOUS DIMENSIONS IN THE THIRRING MODEL.]</ref>
# We study the operator product expansion (OPE) for scalar conformal defects of any codimension in CFT.<ref name="ref_6acd60c5">[https://link.springer.com/article/10.1007/JHEP01(2018)013 Operator product expansion for conformal defects]</ref>
# Operator product expansion algebra S. Hollands based on joint work with M. Frb, J. Holland and Ch.<ref name="ref_7329b34c">[https://wwwth.mpp.mpg.de/conf/zimmermann-memorial/talks/Hollands.pdf Operator product expansion algebra]</ref>
# 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.<ref name="ref_132fffa9">[https://en-academic.com/dic.nsf/enwiki/906670 Operator product expansion]</ref>
# We study how to compute the operator product expansion coefficients in the exact renormalization group formalism.<ref name="ref_39245adb">[https://paperswithcode.com/paper/operator-product-expansion-coefficients-in Operator product expansion coefficients in the exact renormalization group formalism]</ref>
# Hollands S., A general PCT theorem for the operator product expansion in curved spacetime, Comm.<ref name="ref_89ee74b7">[http://www.emis.de/journals/SIGMA/2009/090/ Axiomatic Quantum Field Theory in Terms of Operator Product Expansions: General Framework, and Perturbation Theory via Hochschild Cohomology]</ref>
# Further, we can also calculate OPEs of currents expressed by vertex operators.<ref name="ref_14d66fda">[https://library.wolfram.com/infocenter/Articles/2339/ ope.math: Operator Product Expansions in Free Field Realizations of Conformal Field Theory -- from Wolfram Library Archive]</ref>
# 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.<ref name="ref_22ae4203">[https://cyberleninka.org/article/n/257176 An operator product expansion for the mutual information in AdS/CFT]</ref>
# An operator product expansion (OPE) for the long distance mutual information written in terms of these correlators is then provided.<ref name="ref_22ae4203" />
# The operator product expansion has been applied to various problems in quantum theory with varying degree of rigour.<ref name="ref_024274bf">[https://core.ac.uk/download/pdf/25265417.pdf View metadata, citation and similar papers at core.ac.uk]</ref>
# To apply the operator product expansion in QCD, one is of course faced with the problem of extending it to non-perturbative dynamics.<ref name="ref_024274bf" />
# 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.<ref name="ref_024274bf" />
# While Wilsons operator product expansion is originally formulated in the Euclidean domain, its applications are mostly related to quantities of the Minkowski nature.<ref name="ref_024274bf" />
# Operator product expansion expresses the product of two elds as the sum of single elds.<ref name="ref_79dffb47">[https://www.itp.uni-hannover.de/fileadmin/itp/user/ag_flohr/lectures/talks/nils-mpi.pdf Max planck institute for mathematics, bonn, february 2006]</ref>
# Do they also satisfy an operator product expansion of the from ij are particularly ?<ref name="ref_79dffb47" />
# The vertex operator algebra W(2, 33) is C2-conite and the nonmeromorphic operator product expansion exists.<ref name="ref_79dffb47" />
# Modify the operator product expansion to account for new scale Summary 1.<ref name="ref_dab893f5">[https://www.ias.tum.de/fileadmin/w00bub/www/Events/2016/eftlgt2016/saturday/cjmonahan_TUM.pdf Operator product expansion with gradient flow]</ref>
# Modify the operator product expansion to account for new scale Looking forward 1.<ref name="ref_dab893f5" />
===소스===
<references />

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	===소스===		===소스===
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		+
		+	== 메타데이터 ==
		+
		+	===위키데이터===
		+	* ID : [https://www.wikidata.org/wiki/Q3883909 Q3883909]
		+	===Spacy 패턴 목록===
		+	* [{'LOWER': 'operator'}, {'LOWER': 'product'}, {'LEMMA': 'expansion'}]
		+	* [{'LEMMA': 'ope'}]

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Pythagoras0: /* 메타데이터 */ 새 문단

Pythagoras0: /* 노트 */ 새 문단