Results 111 to 120 of about 2,214 (215)
Higher $\varepsilon$-poles and logarithms in the MS-like schemes from the algebraic structure of the renormalization group [PDF]
We investigate the structure of renormalization constants within the MS-like renormalization prescriptions for a version of dimensional regularization in which the dimensionful regularization parameter $\Lambda$ differs from the renormalization point ...
Shatalova, Victoria +2 more
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Regularization versus Renormalization: Why Are Casimir Energy Differences So Often Finite?
, 2018 One of the very first applications of the quantum field theoretic vacuum state was in the development of the notion of Casimir energy. Now, field theoretic Casimir energies, considered individually, are always infinite.
Matt Visser
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Gradient RG flow in scalar-fermion QFTs
Journal of High Energy PhysicsThe gradient property of the renormalisation group (RG) is examined to four-loop order in scalar-fermion systems in d = 4 and d = 4 − ε dimensions. The crucial role played by the beta shift, which is a modification of the standard dim-reg beta function ...
William H. Pannell +2 more
doaj +1 more source
Renormalization-group equations of the LEFT at two loops: dimension-five effects
Journal of High Energy PhysicsWe 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
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Approximating Feynman integrals using complete monotonicity and Stieltjes properties
Journal of High Energy PhysicsWe 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 +2 more
doaj +1 more source
, 1990 We formulate an effective action for averages of fields for the coupled system of scalars and (chiral) fermions. The renormalization group equations for the scale dependence of the average potential exhibit a quadratic renormalization in addition to the ...
Wetterich, C.
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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
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Renormalization in non-relativistic quantum mechanics [PDF]
, 2020 A problem of non-relativistic quantum mechanics solved using regularization and renormalization techniques is presented in this thesis. After a general introduction of these techniques, they are applied to a problem in classical electromagnetism and to ...
Tagliazucchi, Matteo
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Renormalization of the Inverse Square Potential [PDF]
, 2001 The quantum-mechanical D-dimensional inverse square potential is analyzed using field-theoretic renormalization techniques. A solution is presented for both the bound-state and scattering sectors of the theory using cutoff and dimensional regularization.
Camblong, Horacio E.
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