1991
DOI: 10.1016/0370-2693(91)90266-s
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Baryon chiral perturbation theory using a heavy fermion lagrangian

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Cited by 1,107 publications
(1,476 citation statements)
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“…Since m N ∼ M QCD , nucleons are approximately non-relativistic in the processes of interest, and Lorentz invariance is incorporated order by order in the EFT expansion [17]. We denote the (small) nucleon four-velocity by v µ and its spin by S µ ; in the nucleon rest frame, v µ = (1, 0) and S µ = (0, σ/2) in terms of the Pauli matrices in spin space, σ. Chiral-invariant interactions are built with pion covariant derivatives, while explicit chiral symmetry breaking is introduced by the average quark massm = (m u + m d )/2, by the quark mass difference m d − m u = 2mε, by electromagnetic interactions, and / P and/or / T interactions.…”
Section: Chiral Perturbation Theorymentioning
confidence: 99%
“…Since m N ∼ M QCD , nucleons are approximately non-relativistic in the processes of interest, and Lorentz invariance is incorporated order by order in the EFT expansion [17]. We denote the (small) nucleon four-velocity by v µ and its spin by S µ ; in the nucleon rest frame, v µ = (1, 0) and S µ = (0, σ/2) in terms of the Pauli matrices in spin space, σ. Chiral-invariant interactions are built with pion covariant derivatives, while explicit chiral symmetry breaking is introduced by the average quark massm = (m u + m d )/2, by the quark mass difference m d − m u = 2mε, by electromagnetic interactions, and / P and/or / T interactions.…”
Section: Chiral Perturbation Theorymentioning
confidence: 99%
“…For the Σ * , we use a symmetric tensor representation Σ * ij , where: Σ * 11 = Σ * + , Σ * 12 = Σ * 21 = 1 √ 2 Σ * 0 , and Σ * 22 = Σ * − . To have a consistent power counting, we remove M (0) Λ , the chiral limit mass of the Λ, using a field redefinition customary for treating baryons as heavy particles [4,5]. The Lagrangian for the S = 1 baryons can be written down as a series of terms that scale with powers of the small parameter ε, where ε ∼ k ∼ m π , where k is a typical residual momentum.…”
Section: Su (2) Lagrangian For Hyperonsmentioning
confidence: 99%
“…To answer such questions, we match the SU(2) Lagrangian onto the SU(3) heavy baryon Lagrangian. To O(ε 2 ), this Lagrangian was originally given in [4,5]. Carrying out the matching, one finds…”
Section: A Matching the Su (2) And Su (3) Lagrangiansmentioning
confidence: 99%
“…The free Lagrange density describing the interactions of the nucleon and its superpartners which are embedded in the 70 dimensional irreducible representation of SU(4|2) B ijk is, at LO in the heavy baryon expansion [47,48,49,50], (24) where…”
Section: Neutron Edm In Partially-quenched Qcdmentioning
confidence: 99%