Infrared renormalization of two-loop integrals and the chiral expansion of the nucleon mass

被引：23

作者：

Schindler, Matthias R. ^{[1
]}

Djukanovic, Dalibor ^{[1
]}

Gegelia, Jambul ^{[1
,2
]}

Scherer, Stefan ^{[1
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Inst Kernphys, D-55099 Mainz, Germany

[2] Tbilisi State Univ, High Energy Phys Inst, GE-380086 Tbilisi, Georgia

来源：

NUCLEAR PHYSICS A | 2008年 / 803卷 / 1-2期

关键词：

chiral perturbation theory; renormalization; nucleon mass;

D O I：

10.1016/j.nuclphysa.2008.01.023

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We describe details of the renormalization of two-loop integrals relevant to the calculation of the nucleon mass in the framework of manifestly Lorentz-invariant chiral perturbation theory using infrared renormalization. It is shown that the renormalization can be performed while preserving all relevant symmetries, in particular chiral symmetry, and that renormalized diagrams respect the standard power counting rules. As an application we calculate the chiral expansion of the nucleon mass to order O(q(6)). (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：68 / 114

页数：47

共 59 条

[1] In search of the chiral regime
Beane, SR
[J]. NUCLEAR PHYSICS B, 2004, 695 (1-2) : 192 - 198
[2] Baryon chiral perturbation theory in manifestly Lorentz invariant form
Becher, T
Leutwyler, H
[J]. EUROPEAN PHYSICAL JOURNAL C, 1999, 9 (04): : 643 - 671
[3] Becher T, 2001, J HIGH ENERGY PHYS
[4] CHIRAL STRUCTURE OF THE NUCLEON
BERNARD, V
KAISER, N
KAMBOR, J
MEISSNER, UG
[J]. NUCLEAR PHYSICS B, 1992, 388 (02) : 315 - 345
[5] BERNARD V, ARXIV070603
[6] The nucleon axial-vector coupling beyond one loop
Bernard, Veronique
Meissner, Ulf-G.
[J]. PHYSICS LETTERS B, 2006, 639 (3-4) : 278 - 282
[7] Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass
Bernard, W
Hemmert, TR
Meissner, UG
[J]. NUCLEAR PHYSICS A, 2004, 732 : 149 - 170
[8] Collins J., 1984, RENORMALIZATION, P34, DOI 10.1017/CBO9780511622656
[9] Probing the convergence of perturbative series in baryon chiral perturbation theory
Djukanovic, D.
Gegelia, J.
Scherer, S.
[J]. EUROPEAN PHYSICAL JOURNAL A, 2006, 29 (03) : 337 - 342
[10] Ecker G, 1995, PROG PART NUCL PHYS, V35, P1, DOI 10.1016/0146-6410(95)00041-G

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