EFFECTIVE CHIRAL LAGRANGIANS FOR STRONG, WEAK AND ELECTROMAGNETIC-WEAK INTERACTIONS OF MESONS FROM QUARK FLAVOR DYNAMICS

Effective chiral Lagrangians for strong, weak and electromagnetic-weak interactions of composite pseudoscalar, vector and axial-vector mesons are derived up to the fourth order in the chiral expansion from quark flavor dynamics based on the Nambu-Jona-Lasinio model. This approach completes earlier work on strong interactions and applies the path-integral bosonization method to the nonleptonic weak quark Lagrangian including the emission of structural photons. As illustrations, the bosonized weak and electromagnetic-weak Lagrangians are applied to the description of K→π(η) and K→π(η)γ* transitions.

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Anomalous, chiral Lagrangians of pseudoscalar, vector, and axial-vector mesons generated from quark loops

Physical Review D ◽

10.1103/physrevd.32.266 ◽

1985 ◽

Vol 32 (1) ◽

pp. 266-275 ◽

Cited By ~ 33

Author(s):

D. W. McKay ◽

H. J. Munczek

Keyword(s):

Chiral Lagrangians ◽

Axial Vector ◽

Vector Mesons ◽

Quark Loops

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The nature of universal primary interactions of particles

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1968.0120 ◽

1968 ◽

Vol 305 (1482) ◽

pp. 319-343 ◽

Cited By ~ 16

Keyword(s):

Vector Fields ◽

Weak Interactions ◽

Magnetic Moments ◽

Effective Interaction ◽

Axial Vector ◽

Decay Rates ◽

Coupling Constants ◽

Strong Interactions ◽

Electromagnetic Mass ◽

Strange Particles

A theory of primary interactions between elementary particles is proposed. It is based on the hypothesis that there are three primary interactions: weak, electromagnetic, and strong; and each of them is characterized by a single coupling constant. The primary weak interactions couple the leptons to themselves and to vector and axial vector fields, but not to nucleons. The primary electromagnetic interactions couple the electromagnetic field to the charged leptons or to the neutral vector meson fields, but not to nucleons. The primary strong interactions couple the vector and axial vector fields to the nucleons. All the couplings are universal. On the basis of this theory it is possible to account quantitatively for the anomalous magnetic moments of the nucleons, the ratio of the Gamow –Teller and the Fermi β decay coupling constants, weak magnetism, absence of neutral lepton currents, pion-decay, pion-nucleon scattering lengths, and the principal features of the nuclear force. The theory when extended to strange particles, leads automatically to the suppression of weak decays of strange particles. Our older chirality invariant V – A four-fermion interaction is recovered as the effective interaction for small momentum transfers. No intermediate bosons in the conventional sense are required or expected. The application to the absolute calculation of electromagnetic mass shifts and non-leptonic decay rates yields finite answers which will be discussed in another paper.

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The fermionic universal one-loop effective action

Journal of High Energy Physics ◽

10.1007/jhep11(2020)078 ◽

2020 ◽

Vol 2020 (11) ◽

Author(s):

Sebastian A. R. Ellis ◽

Jérémie Quevillon ◽

Pham Ngoc Hoa Vuong ◽

Tevong You ◽

Zhengkang Zhang

Keyword(s):

Path Integral ◽

Effective Action ◽

Covariant Derivative ◽

Heavy Fermion ◽

Axial Vector ◽

Derivative Expansion ◽

Universal Structure ◽

Pseudo Scalar ◽

Matching Techniques ◽

Analytical Expressions

Abstract Recent development of path integral matching techniques based on the covariant derivative expansion has made manifest a universal structure of one-loop effective Lagrangians. The universal terms can be computed once and for all to serve as a reference for one-loop matching calculations and to ease their automation. Here we present the fermionic universal one-loop effective action (UOLEA), resulting from integrating out heavy fermions (Dirac or Majorana) with scalar, pseudo-scalar, vector and axial-vector couplings. We also clarify the relation of the new terms computed here to terms previously computed in the literature and those that remain to complete the UOLEA. Our results can be readily used to efficiently obtain analytical expressions for effective operators arising from heavy fermion loops [13].

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