SU(3) baryon chiral perturbation theory and long distance regularization

Donoghue, John F.; Holstein, Barry R.; Borasoy, B.

doi:10.1103/physrevd.59.036002

Cited by 150 publications

(196 citation statements)

References 28 publications

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“…It is certainly true that it is more difficult, and occasionally more subtle [11,13], to work with a momentum space cutoff than with the usual dimensional procedure. Indeed in the meson sector the dimensional formal-ism works fine.…”

Section: Discussionmentioning

confidence: 99%

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Improved treatment of loop diagrams in SU(3) baryon chiral perturbation theory

Donoghue

Holstein

1998

Physics Letters B

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Section: Discussionmentioning

confidence: 99%

“…A longer paper will present full details and additional examples of this reformulation of the theory, [13] while here we concentrate simply on the underlying physics. First we demonstrate how to reproduce known results in baryon masses using the cutoff formalism.…”

Section: Basic Ideasmentioning

confidence: 99%

Improved treatment of loop diagrams in SU(3) baryon chiral perturbation theory

Donoghue

Holstein

1998

Physics Letters B

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“…Regularization with the help of a finiterange regulator has been advocated [58][59][60] as a practical method which reflects the finite size of the baryon to which the chiral field couples. The effectiveness of the various prescriptions in providing accurate results for expansions of various static properties of hadrons away from the chiral regime have been discussed in Refs.…”

Section: Regularizationmentioning

confidence: 99%

Strange-quark asymmetry in the proton in chiral effective theory

Wang

Melnitchouk

et al. 2016

Phys. Rev. D

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We perform a comprehensive analysis of the strange-antistrange parton distribution function (PDF) asymmetry in the proton in the framework of chiral effective theory, including the full set of lowest order kaon loop diagrams with off-shell and contact interactions, in addition to the usual on-shell contributions previously discussed in the literature. We identify the presence of δ-function contributions to thes PDF at x = 0, with a corresponding valence-like component of the s-quark PDF at larger x, which allows greater flexibility for the shape of s −s. Expanding the moments of the PDFs in terms of the pseudoscalar kaon mass, we compute the leading nonanalytic behavior of the number and momentum integrals of the s ands distributions, consistent with the chiral symmetry of QCD. We discuss the implications of our results for the understanding of the NuTeV anomaly and for the phenomenology of strange quark PDFs in global QCD analysis.

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“…In that regime an effective field theory of QCD, usually called chiral perturbation theory (CHPT), can be set up, which is written in terms of the very Goldstone degrees of freedom, with their couplings to matter fields dictated by chiral dynamics [4,5,6]. Recently doubts have been issued in the literature [7,8,9,10] whether such an effective field theory, in particular when it is utilized in connection with dimensional regularization, is "effective" enough to be applied to extended objects with complicated internal structure like baryons. The authors of Refs.…”

Section: Introductionmentioning

confidence: 99%

Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass

2004

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We discuss the use of cutoff methods in chiral perturbation theory. We develop a cutoff scheme based on the operator structure of the effective field theory that allows to suppress high momentum contributions in Goldstone boson loop integrals and by construction is free of the problems traditional cutoff schemes have with gauge invariance or chiral symmetries. As an example, we discuss the chiral expansion of the nucleon mass. Contrary to other claims in the literature we show that the mass of a nucleon in heavy baryon chiral perturbation theory has a well behaved chiral expansion up to effective Goldstone boson masses of 400 MeV when one utilizes standard dimensional regularization techniques. With the help of the here developed cutoff scheme we can demonstrate a well-behaved chiral expansion for the nucleon mass up to 600 MeV of effective Goldstone Boson masses. We also discuss in detail the prize, in numbers of additional short distance operators involved, that has to be paid for this extended range of applicability of chiral perturbation theory with cutoff regularization, which is usually not paid attention to. We also compare the fourth order result for the chiral expansion of the nucleon mass with lattice results and draw some conclusions about chiral extrapolations based on such type of representation.

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SU(3) baryon chiral perturbation theory and long distance regularization

Cited by 150 publications

References 28 publications

Improved treatment of loop diagrams in SU(3) baryon chiral perturbation theory

Improved treatment of loop diagrams in SU(3) baryon chiral perturbation theory

Strange-quark asymmetry in the proton in chiral effective theory

Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass

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