Results 91 to 100 of about 1,791 (221)
Regularization and renormalization of semiclassical QCD
Nuclear Physics B, 1979 We continue our discussion of how to consistently approximate QCD by expanding around the multi-instanton set of classical field configurations. Noting the divergences of the diagrammatic expansions in g and in the instanton density, we introduce Pauli-Villars regulators to render the theory finite. This is not manifestly gauge invariant and we discuss
openaire +1 more source
Five-loop anomalous dimensions of cubic scalar theory from operator product expansion
Journal of High Energy PhysicsIn this work, we compute the anomalous dimensions of the ϕ Q operator in six-dimensional cubic scalar theory. The renormalization analysis is carried out within the framework of the Operator Product Expansion method, while the ultraviolet divergences of ...
Rijun Huang, Qingjun Jin, Yi Li
doaj +1 more source
On the equivalence between Implicit Regularization and Constrained Differential Renormalization
, 2007 16 pagesConstrained Differential Renormalization (CDR) and the constrained version of Implicit Regularization (IR) are two regularization independent techniques that do not rely on dimensional continuation of the space-time.
Scarpelli, A. P. Baêta +4 more
core
An Étude on the regularization and renormalization of divergences in primordial observables
La Rivista del Nuovo CimentoAbstractMany cosmological observables derive from primordial vacuum fluctuations evolved to late times. These observables represent statistical draws from some underlying quantum or statistical field theoretic framework where infinities arise and require regularization.
Negro, A., Patil, S.P.
openaire +3 more sources
Higher derivative sigma models
Journal of High Energy PhysicsWe explore the nature of running couplings in the higher derivative linear and nonlinear sigma models and show that the results in dimensional regularization for the physical running couplings do not always match the values quoted in the literature. Heat
John F. Donoghue, Gabriel Menezes
doaj +1 more source
Renormalization group and fixed points: in quantum field theory
, 2013 This Brief presents an introduction to the theory of the renormalization group in the context of quantum field theories of relevance to particle physics. Emphasis is placed on gaining a physical understanding of the running of the couplings.
Hollowood, Timothy J
core +1 more source
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
Theory Assessment and Final Theory Claim in String Theory [PDF]
, 2011 String theory has by now maintained a highly influential position in high energy physics for more than a quarter of a century. The present article analyses the reasons for the considerable trust exponents of string theory have in their theory even though
Dawid, Richard, Richard Dawid
core +1 more source
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
Regularization and renormalization of non-perturbative quantum electrodynamics via the Dyson-Schwinger equations. [PDF]
, 2014 We investigate the effect of using different regularization and renormalization schemes in studying numerical solutions of quenched quantum electrodynamics (QED) using the Dyson-Schwinger equations for the fermion propagator.
Sizer, Tom
core