The anomalous chiral Lagrangian of order p 6

نویسنده

  • P. Talavera
چکیده

We construct the effective chiral Lagrangian for chiral perturbation theory in the mesonic odd-intrinsic-parity sector at order p6. The Lagrangian contains 24 in principle measurable terms and no contact terms for the general case of Nf light flavours, 23 terms for three and 5 for two flavours. In the two flavour case we need a total of 13 terms if an external singlet vector field is included. We discuss and implement the methods used to reduce to a minimal set. The infinite parts needed for renormalization are calculated and presented as well.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Determination of the Anomalous Chiral Coefficients of order p 6

Symmetries affected by the anomaly do not survive quantization and cannot be understood classically. They are of fundamental importance and offer an opportunity of expanding the theoretical framework. We examine the theory of the anomalous sector, starting from lowest order Chiral Perturbation Theory (ChPT), leading up to the construction of the recently developed Lagrangian of O ( p ) describi...

متن کامل

Anomalous Action in Gauge Invariant, Nonlocal, Dynamical Quark Model

Anomalous sector of chiral Lagrangian is calculated in a gauge invariant, nonlocal, dynamical quark model. The Wess-Zumino term is proved coming from two kinds of sources, one is independent of and another dependent on dynamical quark self energy Σ(k2). p6 and more higher order anomalous sectors come only from Σ(k2) dependent source. After some cancellation, standard Wess-Zumino action is obtai...

متن کامل

Semileptonic Π and K Decays and the Chiral Anomaly at One - Loop

We calculate the O(p 6) corrections to the anomalous form factors appearing in π + , K + → e + νγ, µ + νγ and K l4 decays in Chiral Perturbation Theory. The relevant dimension 6 terms of the lagrangian are evaluated assuming their saturation by the vector meson contribution.

متن کامل

Determination of the low – energy constants of the next – to – leading order chiral pion – nucleon Lagrangian

The next–to–leading order chiral pion–nucleon Lagrangian contains seven finite low– energy constants. Two can be fixed from the nucleon anomalous magnetic moments and another one from the quark mass contribution to the neutron–proton mass splitting. We find a set of nine observables, which to one loop order do only depend on the remaining four dimension two couplings. These are then determined ...

متن کامل

The radiative corrections of the electroweak chiral Lagrangian with renormalization group equations

We show the computational procedure of the renormalization of the electroweak chiral Lagrangian (the 4D Higgsless standard model), and provide one simplified version of its one-loop renormalization group equations, which we demonstrate its simplicity and reliability. By analyzing the solutions of the one-loop renormalization group equations of the electroweak chiral Lagrangian, we study the par...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001