Results 101 to 110 of about 35,463 (213)
On the seven-loop renormalization of Gross-Neveu model
Journal of High Energy PhysicsThe presence of an infinite number of marginal four-fermion operators is a key characteristic of the two-dimensional Gross-Neveu model. In this study, we investigate the structure of UV divergences in this model, and by symmetry argument we found that ...
Rijun Huang, Qingjun Jin, Yi Li
doaj +1 more source
Operator cutoff regularization and renormalization group in Yang-Mills theory [PDF]
Physical Review D, 1997 We derive a manifestly gauge invariant low energy blocked action for Yang-Mills theory using operator cutoff regularization, a prescription which renders the theory finite with a regulating smearing function constructed for the proper-time integration.
openaire +2 more sources
Renormalization of the pseudoscalar operator at four loops in QCD
Journal of High Energy PhysicsWe present the renormalization constant of the pseudoscalar operator defined with a non-anticommuting γ 5 in dimensional regularization up to four-loop order in perturbative Quantum Chromodynamics (QCD).
Long Chen +2 more
doaj +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
A note on regularization and renormalization
, 2003 We look at sections of a function bundle over the space of linear differential operators. We find that one can construct an isomorphism between a certain quotient bundle and the fourier counterpart of the original bundle defined by formal integration by parts. We also show that differential renormalization is an example of this technique.
openaire +2 more sources
Renormalization of gravitational Wilson lines
Journal of High Energy Physics, 2019 We continue the study of the Wilson line representation of conformal blocks in two-dimensional conformal field theory; these have an alternative interpretation as gravitational Wilson lines in the context of the AdS3/CFT2 correspondence.
Mert Beşken +3 more
doaj +1 more source
Dirac traces and the Tutte polynomial
Journal of High Energy PhysicsPerturbative calculations involving fermion loops in quantum field theories require tracing over Dirac matrices. A simple way to regulate the divergences that generically appear in these calculations is dimensional regularisation, which has the ...
Joshua Lin
doaj +1 more source
Operator Regularization And Renormalization Theory [PDF]
, 1989 In the past few years a new method of regularization, called operator regularization (o.r.), has been developed to regulate formal divergences that arise in quantum field theory. This technique is characterized by the fact that no divergent quantities ever arise once the technique is applied, even after the regulating parameter approaches its limiting ...
openaire
Dimensional regularization and renormalization of non-commutative QFT
, 2007 Using the recently introduced parametric representation of non-commutative quantum field theory, we implement here the dimensional regularization and renormalization of the vulcanized $ ^{\star 4}_4$ model on the Moyal space.
Gurau, R., Tanasa, A.
openaire +2 more sources
The asymptotically-free gauge theories
Journal of High Energy PhysicsWe 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