### Citations

464 |
Physica A 96
- Weinberg
- 1979
(Show Context)
Citation Context ...ED at Very Low Energies The Lagrangian of quantum electrodynamics (QED) is given by LQED = L0 + Lint (1) with the free part L0 = ψ̄ (i∂/−m)ψ − 14FµνF µν (2) and the interaction piece Lint = −eψ̄A/ψ . =-=(3)-=- Introduction to Chiral Perturbation Theory 3 Fermion and photon fields are denoted by ψ and Aµ, respectively, Fµν = ∂µAν − ∂νAµ is the field strength tensor, and a gauge fixing term has been omitted ... |

94 |
Quantum fields on a lattice (Cambridge
- Montvay, Münster
- 1994
(Show Context)
Citation Context ... energies—by chiral perturbation theory, the effective field theory of QCD. In the first case the QCD path integral in Euclidean space-time is evaluated numerically via Monte Carlo sampling, see e.g. =-=[2]-=-. In the latter case, one makes use of the fact that at low energies the relevant, effective degrees of freedom are hadrons rather than quarks and gluons which are not observed as free particles. 2 B.... |

61 |
Annals Phys
- Bijnens, Colangelo, et al.
- 2000
(Show Context)
Citation Context ... a systematic renormalization procedure emerges. The complete renormalization program at one- and two-loop order has been carried out by employing a background field method and heat kernel techniques =-=[4, 5, 18]-=-. The chiral expansion is ordered in increasing powers of GB masses and momenta. Each additional loop produces a factor of 1/f2 from the expansion of U = exp(iφ/f) multiplied by the loop factor 1/(4π)... |

14 |
et al. [Particle Data Group Collaboration
- Yao
- 2006
(Show Context)
Citation Context ...ts. Introduction to Chiral Perturbation Theory 5 The quarks can be grouped into light and heavy flavors according to their masses: the u, d, s quarks are substantially lighter than the c, b, t quarks =-=[9]-=-. Hence, the limit of massless light quarks, mu = md = ms = 0, the so-called chiral limit, seems to be a reasonable approximation and can be improved by treating the light quark masses as perturbation... |

5 |
Schindler: [arXiv:hep-ph/0505265
- E
- 1995
(Show Context)
Citation Context ...p2 M2W , the W propagator can be expanded in p2/M2W such that the amplitude is approximated by the local interaction A = i M2W ( ig√ 2 )2 VusV ∗ ud ( ūγµ 1−γ52 s ) ( d̄γµ 1−γ5 2 u ) +O ( p2 M4W ) . =-=(6)-=- Diagrammatically this approximation is illustrated in Fig. 4, where the contact interaction arises from the effective Lagrangian Leff = −2 √ 2GFVusV ∗ud ( ūγµ 1−γ52 s ) ( d̄γµ 1−γ5 2 u ) (7) with th... |