Results 101 to 110 of about 1,806 (222)
The unitary architecture of renormalization
Journal of High Energy PhysicsWe set up a bootstrap problem for renormalization. Working in the massless four-dimensional O(N) model and the λϕ 4 theory, we prove that unitarity leads to all-loop recursion relations between coefficients of scattering amplitudes with different ...
Ameya Chavda +3 more
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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
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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
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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
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Two-loop renormalization of three-quark operators in QCD [PDF]
, 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 +3 more
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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
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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
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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.
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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
Non-perturbative renormalization of lattice four-fermion operators without power subtractions [PDF]
, 1999 A general nonperturbative analysis of the renormalization properties of Delta I = 3/2 four-fermion operators in the framework of lattice regularization with Wilson fermions is presented.
Talevi, Mauro +8 more
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