Results 111 to 120 of about 1,791 (221)

The asymptotically-free gauge theories

Journal of High Energy Physics
We show how to classify the asymptotically-free gauge theories in four spacetime dimensions, focussing here on the case of purely fermionic matter. The classification depends on the fact (which we prove) that the dimension and Dynkin index of irreducible
Ben Gripaios, Khoi Le Nguyen Nguyen
doaj   +1 more source

Regularization, renormalization, and renormalization groups

, 2011
This paper confronts renormalization used in quantum field theory and that used in critical phenomena studies in statistical mechanics or dynamical systems theory. Regularization that cures spurious divergences is distinguished from renormalization transformations allowing to compute actual physical divergences.
openaire   +1 more source

Non-perturbative renormalization of left-left four-fermion operators in quenched lattice QCD

, 2005
We define a family of Schroedinger Functional renormalization schemes for the four-quark multiplicatively renormalizable operators of the $\Delta F = 1$ and $\Delta F = 2$ effective weak Hamiltonians. Using the lattice regularization with quenched Wilson
Guagnelli, M., Vladikas, A., Pena, C., Sint, S., Heitger, J.   +4 more
core   +1 more source

Renormalization-group equations of the LEFT at two loops: dimension-five effects

Journal of High Energy Physics
We present the first part of a systematic calculation of the two-loop anomalous dimensions in the low-energy effective field theory (LEFT): the effects at dimension five in the power counting.
Luca Naterop, Peter Stoffer
doaj   +1 more source

On Regular Hénon-like Renormalization

75 pages, 9 ...
openaire   +2 more sources

Approximating Feynman integrals using complete monotonicity and Stieltjes properties

Journal of High Energy Physics
We introduce two novel numerical approaches for computing Feynman integrals based on their complete monotonicity (CM) and Stieltjes properties. The first method uses that scalar Feynman integrals are CM, meaning that all their derivatives have a fixed ...
Sara Ditsch, Johannes M. Henn, Prashanth Raman   +2 more
doaj   +1 more source

Two-loop renormalization of three-quark operators in QCD

, 2011
Renormalization of composite three-quark operators in dimensional regularization is complicated by the mixing of physical and unphysical (evanescent) operators. This mixing must be taken into account in a consistent subtraction scheme.
Susanne Kränkl, Kränkl, Susanne, Alexander Manashov, Manashov, Alexander   +3 more
core   +1 more source

P-wave Sommerfeld enhancement near threshold: a simplified approach. [PDF]

Eur Phys J C Part Fields, 2023
de Lima CH, Tonero A, Vasquez A, Rosenfeld R.   +3 more
europepmc   +1 more source

Renormalization without regularization and R-operation

, 1994
Definition of Feynman integrals as solutions of some well defined systems of differential equations is proposed. This definition is equivalent to usual one but needs no regularization and application of $R$-operation. It is argued that proposed renormalization scheme maintains all symmetries that can be maintained in perturbative quantum field theory ...
openaire   +2 more sources

Motivic renormalization and singularities [PDF]

, 2010
We consider parametric Feynman integrals and their dimensional regularization from the point of view of differential forms on hypersurface complements and the approach to mixed Hodge structures via oscillatory integrals.
Marcolli, Matilde, Marcolli, M.
core