Erratum to “a covariant technique for the calculation of the one-loop effective action” [Nucl. Phys. B 355 (1991) 712]

Avramidi, Ivan G.

doi:10.1016/s0550-3213(97)00717-7

Cited by 92 publications

(154 citation statements)

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“…This is motivated because it is here that the special case of the ball gives rich information. But it is also justified because the calculation of the volume part is nowadays nearly automatic [91,92,93] and these terms do not depend on the boundary conditions [94] and are thus known already for all problems to be dealt with.…”

Section: Calculation Of Heat-kernel Coefficients Via Special Casesmentioning

confidence: 99%

Spectral Functions in Mathematics and Physics

Kirsten¹

2001

385

629

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Section: Calculation Of Heat-kernel Coefficients Via Special Casesmentioning

confidence: 99%

Spectral Functions in Mathematics and Physics

Kirsten¹

2001

385

629

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“…As might be expected, most of the terms in W 4 are also recovered in the proper time expansion of the heat kernel [8], or by other means [14]. However, most terms in W 6 are new and were obtained with very little effort.…”

Section: Abelian Theories In Flat Spacementioning

confidence: 71%

Diagrams for heat kernel expansions

Moss¹,

Naylor²

1999

Class. Quantum Grav.

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A diagramatic heat kernel expansion technique is presented. The method is especially well suited to the small derivative expansion of the heat kernel, but it can also be used to reproduce the results obtained by the approach known as covariant perturbation theory. The new technique gives an expansion for the heat kernel at coincident points. It can also be used to obtain the derivative of the heat kernel, and this is useful for evaluating the expectation values of the stress-energy tensor.Pacs numbers: 03.70.+k, 98.80.Cq

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“…where H i,0 (x, y), H i,1 (x, y), and, H i,2 (x, y) are known to be Seeley-De Witt coefficients [21].…”

Section: Discussionmentioning

confidence: 99%

One-loop anomalous couplings and matching conditions in the nonlinear realization of the SU(2) Higgs model

Dutta¹,

Hagiwara²,

Yan³

2005

Nuclear Physics B

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We study the renormalization of the nonlinear realization of the SU (2) Higgs model in the modified minimal subtraction renormalization scheme.We propose that the effective field method with truncated operator series is trustworthy even when the Higgs boson is relatively light. Using the technique of background field method in the coordinate space, we derive the matching conditions at tree and one loop order, both in the regions where the Higgs boson is heavy and where it is light. We obtain the complete one-loop anomalous couplings up to O p 4 in the SU(2) Higgs model.We observe that the contribution of the gauge bosons and the Goldstone bosons to the anomalous couplings at the one-loop level is significant. By establishing the correspondence between our coordinate space calculation and the momentum space calculation that exists in the literature, we find agreement in all the matching conditions in the heavy Higgs boson limit.

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Erratum to “a covariant technique for the calculation of the one-loop effective action” [Nucl. Phys. B 355 (1991) 712]

Cited by 92 publications

References 0 publications

Spectral Functions in Mathematics and Physics

Spectral Functions in Mathematics and Physics

Diagrams for heat kernel expansions

One-loop anomalous couplings and matching conditions in the nonlinear realization of the SU(2) Higgs model

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