This title appears in the Scientific Report :
2004
Please use the identifier:
http://dx.doi.org/10.1016/j.nuclphysa.2003.12.011 in citations.
Please use the identifier: http://hdl.handle.net/2128/10694 in citations.
Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass
Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass
We discuss the use of cutoff methods in chiral perturbation theory. We develop a cutoff scheme based on the operator structure of the effective field theory that allows to suppress high momentum contributions in Goldstone boson loop integrals and by construction is free of the problems traditional c...
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Personal Name(s): | Bernard, V. |
---|---|
Hemmert, T. R. / Meissner, U.G. | |
Contributing Institute: |
Institut 3 (Theoretische Kernphysik); IKP-TH |
Published in: |
Nuclear physics |
Imprint: |
Amsterdam
North-Holland Publ. Co.
2004
|
Physical Description: |
149 - 170 |
DOI: |
10.1016/j.nuclphysa.2003.12.011 |
Document Type: |
Journal Article |
Research Program: |
Physik der Hadronen |
Series Title: |
Nuclear Physics A
732 |
Subject (ZB): | |
Link: |
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Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/10694 in citations.
We discuss the use of cutoff methods in chiral perturbation theory. We develop a cutoff scheme based on the operator structure of the effective field theory that allows to suppress high momentum contributions in Goldstone boson loop integrals and by construction is free of the problems traditional cutoff schemes have with gauge invariance or chiral symmetries. As an example, we discuss the chiral expansion of the nucleon mass. We show that the mass of a nucleon in heavy baryon chiral perturbation theory has a well behaved chiral expansion up to effective Goldstone boson masses of 400 MeV when one utilizes standard dimensional regularization techniques. With the help of the here developed cutoff scheme we can demonstrate a well-behaved chiral expansion for the nucleon mass up to 600 MeV of effective Goldstone boson masses. We also discuss in detail the price, in numbers of additional short distance operators involved, that has to be paid for this extended range of applicability of chiral perturbation theory with cutoff regularization. We also compare the fourth-order result for the chiral expansion of the nucleon mass with lattice results and draw some conclusions about chiral extrapolations based on such type of representation. (C) 2003 Elsevier B.V. All rights reserved. |