scholarly journals Power counting in relativistic baryon chiral perturbation theory

2003 ◽  
Vol 29 (9) ◽  
pp. 2303-2309 ◽  
Author(s):  
J Gegelia ◽  
G Japaridze ◽  
X Q Wang
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Power Counting ◽  
Chiral Perturbation

scholarly journals The axion-baryon coupling in SU(3) heavy baryon chiral perturbation theory

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Thomas Vonk ◽  
Feng-Kun Guo ◽  
Ulf-G. Meißner
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Heavy Baryon ◽  
Power Counting ◽  
Flavor Symmetry ◽  
Chiral Perturbation ◽  
Third Order ◽  
Stellar Objects ◽  
The Past ◽  
Dense Nuclear Matter

Abstract In the past, the axion-nucleon coupling has been calculated in the framework of SU(2) heavy baryon chiral perturbation theory up to third order in the chiral power counting. Here, we extend these earlier studies to the case of heavy baryon chiral perturbation theory with SU(3) flavor symmetry and derive the axion coupling to the full SU(3) baryon octet, showing that the axion also significantly couples to hyperons. As studies on dense nuclear matter suggest the possible existence of hyperons in stellar objects such as neutron stars, our results should have phenomenological implications related to the so-called axion window.

scholarly journals Power counting in baryon chiral perturbation theory including vector mesons

2003 ◽  
Vol 575 (1-2) ◽  
pp. 11-17 ◽  
Author(s):  
Thomas Fuchs ◽  
Matthias R. Schindler ◽  
Jambul Gegelia ◽  
Stefan Scherer
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Power Counting ◽  
Vector Mesons ◽  
Chiral Perturbation

scholarly journals BARYON CHIRAL PERTURBATION THEORY IN MANIFESTLY LORENTZ-INVARIANT FORM

2006 ◽  
Vol 21 (04) ◽  
pp. 881-884 ◽  
Author(s):  
STEFAN SCHERER
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Effective Field ◽  
Renormalization Scheme ◽  
Perturbative Expansion ◽  
Power Counting ◽  
Counting Method ◽  
Chiral Perturbation ◽  
Effective Lagrangian ◽  
Expansion Scheme

A successful effective field theory program requires besides the most general effective Lagrangian a perturbative expansion scheme for observables in terms of a consistent power counting method. We discuss a renormalization scheme for manifestly Lorentz-invariant baryon chiral perturbation theory generating a simple and consistent power counting for renormalized diagrams. The approach may be used in an iterative procedure to renormalize higher-order loop diagrams and also allows for implementing a consistent power counting when vector mesons are explicitly included.

Light front Hamiltonian for boson form of QED (1 + 1) in Pauli–Villars regularization

2019 ◽  
Vol 34 (21) ◽  
pp. 1950113
Author(s):  
V. A. Franke ◽  
M. Yu. Malyshev ◽  
S. A. Paston ◽  
E. V. Prokhvatilov ◽  
M. I. Vyazovsky
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Chiral Condensate ◽  
Light Front ◽  
Coupling Constants ◽  
Hamiltonian Approach ◽  
Chiral Perturbation ◽  
Dimensional Models ◽  
Villars Regularization ◽  
Ultraviolet Regularization

Light front (LF) Hamiltonian for QED in [Formula: see text] dimensions is constructed using the boson form of this model with additional Pauli–Villars-type ultraviolet regularization. Perturbation theory, generated by this LF Hamiltonian, is proved to be equivalent to usual covariant chiral perturbation theory. The obtained LF Hamiltonian depends explicitly on chiral condensate parameters which enter in a form of some renormalization of coupling constants. The obtained results can be useful when one attempts to apply LF Hamiltonian approach for [Formula: see text]-dimensional models like QCD.

scholarly journals K0 → π0γγ decays in chiral perturbation theory

1987 ◽  
Vol 189 (3) ◽  
pp. 363-368 ◽  
Author(s):  
Gerhard Ecker ◽  
Antonio Pich ◽  
Eduardo De Rafael
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Chiral Perturbation
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