Bosonization of vector and axial-vector currents in 3 + 1 dimensions
نویسندگان
چکیده
منابع مشابه
Nonperturbative solutions and scaling properties of vector and axial-vector electrodynamics in 1+1 dimensions.
We study by non perturbative techniques a vector, axial–vector theory characterized by a parameter which interpolates between pure vector and chiral Schwinger models. Main results are two windows in the space of parameters which exhibit acceptable solutions. In the first window we find a free massive and a free mass-less bosonic excitations and interacting left–right fermions endowed with asymp...
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Equations for the divergence of the vector and axial-vector currents follow from the assumptions of Lorentz invariance, locality, the chiral SU(3) X SU(3) algebra of current densities (time components), and the usual electromagnetic and weak Hamiltonians. The divergence conditions lead to derivations of the low-energy meson theorems which do not involve " Schwinger " terms.
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A general expression of the axial-vector current is presented, in which both the effects of the chiral symmetry breaking and the spontaneous chiral symmetry breaking are included. A new resonance formula of the axial-vector meson is derived and in the limit of q → 0 this formula doesn’t go back to the “chiral limit“. The studies show that the dominance of the axial-vector meson is associated wi...
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The momentum-space bosonization method is extended to the case of a Nambu–Jona-Lasinio type model with vector and axial-vector mesons. The method presented gives the possibility of deriving any meson vertex function to all orders in momenta and to the leading order in 1/Nc. Two-point functions, which describe one-particle transitions to the hadronic vacuum, and meson selfenergies are considered...
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We reconsider the construction and matching of the vector and axial currents in Wilson Chiral Perturbation Theory (WChPT), the low-energy effective theory for lattice QCD with Wilson fermions. In particular, we discuss in detail the impact of the finite renormalization of the currents on their matching from the lattice theory to WChPT. We explicitly show that imposing chiral Ward-Takahashi iden...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1997
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(96)01428-1