Results 91 to 100 of about 2,214 (215)
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 +3 more
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Renormalization: a quasi-shuffle approach
, 2018 International audienceIn recent years, the usual BPHZ algorithm for renormalization in perturbative quantum field theory has been interpreted, after dimensional regularization, as a Birkhoff decomposition of characters on the Hopf algebra of Feynman ...
Menous, Frédéric, Patras, Frédéric
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From operator product expansion to anomalous dimensions
Journal of High Energy PhysicsWe propose a new method for computing the renormalization functions, which is based on the ideas of operator product expansion and large momentum expansion.
Rijun Huang, Qingjun Jin, Yi Li
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Renormalization of stochastically quantized field theories
, 1988 We discuss the renormalizability of stochastically quantized φ4 theory in four dimensions using the operator formalism of the Langevin equation developed by Namiki and Yamanaka.
Srinivasan, V. +2 more
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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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Running couplings from adiabatic regularization
Physics Letters B, 2019 We extend the adiabatic regularization method by introducing an arbitrary mass scale μ in the construction of the subtraction terms. This allows us to obtain, in a very robust way, the running of the coupling constants by demanding μ-invariance of the ...
Antonio Ferreiro, Jose Navarro-Salas
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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
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
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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
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Regularization Scheme Dependence of the Counterterms in the Galaxy Bias Expansion [PDF]
, 2023 In this paper we explore how different regularization prescriptions affect the counterterms in the renormalization of the galaxy bias expansion. We work in the context of primordial local non-Gaussianity including non-linear gravitational evolution.
Testa, Adriano +2 more
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