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

Description

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

Subjects

• Documents
• Education
• Tuition
• Mestre
• Linear map
• Feynman graph
• Field (physics)

Informations

• Published by: profil-urra-2012
• Reads: 28
• Language: English
• Document size: 1 MB

Exrait

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) = L k ∞ =0 V k associative algebra on monomials of time-ordered= products of field operators, whereV 0 =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) = L k ∞ =0 V k associative algebra on monomials of time-ordered= products of field operators, whereV 0 =C.

Hopf algebra structure: