SU(3) Baryon Chiral Perturbation Theory and Long Distance Regularization∗

نویسندگان

  • John F. Donoghue
  • Barry R. Holstein
چکیده

The use of SU(3) chiral perturbation theory in the analysis of low energy meson-baryon interactions is discussed. It is emphasized that short distance effects, arising from propagation of Goldstone bosons over distances smaller than a typical hadronic size, are modeldependent and lead to a lack of convergence in the SU(3) chiral expansion when regularized dimensionally. In this paper we demonstrate how to remove such effects in a chirally consistent fashion by use of a cutoff and demonstrate that such removal ameliorates convergence problems which arise from large loop effects. Research supported in part by the National Science Foundation and the Deutsche Forschungsgemeinschaft

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

/ 98 04 28 1 v 1 1 3 A pr 1 99 8 SU ( 3 ) Baryon Chiral Perturbation Theory and Long Distance Regularization ∗

The use of SU(3) chiral perturbation theory in the analysis of low energy meson-baryon interactions is discussed. It is emphasized that short distance effects, arising from propagation of Goldstone bosons over distances smaller than a typical hadronic size, are modeldependent and lead to a lack of convergence in the SU(3) chiral expansion when regularized dimensionally. In this paper we demonst...

متن کامل

Improving the Convergence of SU(3) Baryon Chiral Perturbation Theory

Baryon chiral perturbation theory as conventionally applied using dimensional regularization has a well-known problem with the convergence of the SU(3) chiral expansion. One can reformulate the theory equally rigorously using a momentum-space cutoff and we show that the convergence is thereby greatly improved for reasonable values of the cutoff. In effect, this is accomplished because the cutof...

متن کامل

Long distance regularization in chiral perturbation theory with decuplet fields

We investigate the use of long distance regularization in SU(3) baryon chiral perturbation theory with decuplet fields. The one-loop decuplet contributions to the octet baryon masses, axial couplings, S-wave nonleptonic hyperon decays and magnetic moments are evaluated in a chirally consistent fashion by employing a cutoff to implement long distance regularization. The convergence of the chiral...

متن کامل

ep - p h / 98 04 28 1 v 2 2 7 Ju l 1 99 8 SU ( 3 ) Baryon Chiral Perturbation Theory and Long Distance Regularization ∗

The use of SU(3) chiral perturbation theory in the analysis of low energy meson-baryon interactions is discussed. It is emphasized that short distance effects, arising from propagation of Goldstone bosons over distances smaller than a typical hadronic size, are modeldependent and can lead to a lack of convergence in the SU(3) chiral expansion if they are included in loop diagrams. In this paper...

متن کامل

Baryon Masses in Chiral Perturbation Theory with Infrared Regularization

The baryon masses are examined in SU(3) chiral perturbation theory to next-to-leading order using the recently proposed infrared regularization scheme. The magnitude of the loop integrals are thereby reduced so that the convergence of the series appears to be better than in the heavy baryon approach. PACS: 12.39.Fe, 14.20.-c

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 1998