6533b835fe1ef96bd129f631
RESEARCH PRODUCT
Operator product expansion coefficients in the exact renormalization group formalism
Hidenori SonodaCarlo Paganisubject
High Energy Physics - TheoryPhysics010308 nuclear & particles physics[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]Scalar (mathematics)FOS: Physical sciencesFixed pointRenormalization group16. Peace & justiceComputer Science::Digital Libraries01 natural sciencesoperator product expansionfield theory in curved spaceFormalism (philosophy of mathematics)Formal aspects of field theoryHigh Energy Physics - Theory (hep-th)fixed point0103 physical sciencesLee-Yang modelOperator product expansionrenormalization group010306 general physicsMathematical physicsperturbation theorydescription
We study how to compute the operator product expansion coefficients in the exact renormalization group formalism. After discussing possible strategies, we consider some examples explicitly, within the $\epsilon$-expansions, for the Wilson-Fisher fixed points of the real scalar theory in $d=4-\epsilon$ dimensions and the Lee-Yang model in $d=6-\epsilon$ dimensions. Finally we discuss how our formalism may be extended beyond perturbation theory.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-05-11 |