On the Feynman graph expansion of particle irreducible n point functions in quantum field theory
133 Pages
English
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On the Feynman graph expansion of particle irreducible n point functions in quantum field theory

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133 Pages
English

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On the Feynman graph expansion of 1-particle irreducible n-point functions in quantum field theory On the Feynman graph expansion of 1-particle irreducible n-point functions in quantum field theory Angela Mestre Institut de Mineralogie et de Physique des Milieux Condenses, Paris March 9, 2010 Field operator algebra Algebraic representation of graphs Coalgebra structures Linear maps Graph generation and applications to QFT

  • particle irreducible

  • linear maps

  • physique des milieux condenses

  • field operator algebra

  • feynman graph

  • quantum field


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Language English
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On the Feynman graph expansion of 1-particle irreducible n-point functions in quantum field theory
On the Fey irreducible
aph
nman gr n-point
rticle field
expansion of 1-pa in quantum
functions theory
ˆ Angela Mestre
InstitutdeMine´ralogieetdePhysiquedesMilieuxCondense´s,Paris
March 9, 2010
On the Feynman graph expansion of 1-particle irreducible n-point functions in quantum field theory
nman
On the Fey irreducible
graph
rticle field
expansion of 1-pa in quantum
n-point functions theory
ˆ Angela Mestre
InstitutdeMin´eralogieetdePhysiquedesMilieuxCondense´s,Paris
Field operator algebra
March 9, 2010
On the Feynman graph expansion of 1-particle irreducible n-point functions in quantum field theory
On the
Feynman
rticle field
graph expansion of 1-pa in quantum
irreducible n-point functions theory
ˆ Angela Mestre
InstitutdeMin´eralogieetdePhysiquedesMilieuxCondens´es,Paris
March 9, 2010
Field operator algebra Algebraic representation of graphs
On the Feynman graph expansion of 1-particle irreducible n-point functions in quantum field theory
rticle field
On the Feynman graph expansion of 1-pa in quantum
irreducible n-point functions theory
ˆ Angela Mestre
InstitutdeMin´eralogieetdePhysiquedesMilieuxCondense´s,Paris
March 9, 2010
Field operator algebra Algebraic representation of graphs Coalgebra structures
On the Feynman graph expansion of 1-particle irreducible n-point functions in quantum field theory
rticle field
On the Feynman graph expansion of 1-pa in quantum
irreducible n-point functions theory
ˆ Angela Mestre
InstitutdeMine´ralogieetdePhysiquedesMilieuxCondenses,Paris ´
March 9, 2010
Field operator algebra Algebraic representation of graphs Coalgebra structures Linear maps
On the Feynman graph expansion of 1-particle irreducible n-point functions in quantum field theory
rticle field
On the Feynman graph expansion of 1-pa in quantum
irreducible n-point functions theory
ˆ Angela Mestre
InstitutdeMin´eralogieetdePhysiquedesMilieuxCondense´s,Paris
March 9, 2010
Field operator algebra Algebraic representation of graphs Coalgebra structures Linear maps Graph generation and applications to QFT
On the Feynman graph expansion of 1-particle irreducible n-point functions in quantum field theory Field operator algebra
Field
operator
algebra
[Brouder & Oeckl 2003, Brouder 2009]
On the Feynman graph expansion of 1-particle irreducible n-point functions in quantum field theory Field operator algebra
Field
V
operator
algebra
[Brouder & Oeckl 2003, Brouder 2009]
=C-vector space of finite linear combinations of field operatorsφ(x).
On the Feynman graph expansion of 1-particle irreducible n-point functions in quantum field theory Field operator algebra
Field operator algebra[Brouder & Oeckl 2003, Brouder 2009]
V=C-vector space of finite linear combinations of field operatorsφ(x). S(V) =Lk=0Vkassociative algebra on monomials of time-ordered= products of field operators, whereV0=C.
On the Feynman graph expansion of 1-particle irreducible n-point functions in quantum field theory Field operator algebra
Field operator algebra[Brouder & Oeckl 2003, Brouder 2009]
V=C-vector space of finite linear combinations of field operatorsφ(x). S(V) =Lk=0Vkassociative algebra on monomials of time-ordered= products of field operators, whereV0=C.
Hopf algebra structure: