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 Quark and pion condensates at finite isospin density in chiral perturbation theory

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Prabal Adhikari ◽  
Jens O. Andersen
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Chemical Potential ◽  
Chiral Condensate ◽  
Zero Temperature ◽  
Leading Order ◽  
Chiral Perturbation ◽  
Pion Condensate ◽  
Independent Analysis ◽  
Model Independent

AbstractIn this paper, we consider two-flavor QCD at zero temperature and finite isospin chemical potential $$\mu _I$$ μ I using a model-independent analysis within chiral perturbation theory at next-to-leading order. We calculate the effective potential, the chiral condensate and the pion condensate in the pion-condensed phase at both zero and nonzero pionic source. We compare our finite pionic source results for the chiral condensate and the pion condensate with recent (2+1)-flavor lattice QCD results. Agreement with lattice results generally improves as one goes from leading order to next-to-leading order.

DECAY SPECTRUM OF K+ → e+νeγ

2008 ◽  
Vol 23 (21) ◽  
pp. 3204-3208 ◽  
Author(s):  
C. H. CHEN ◽  
C. Q. GENG ◽  
C. C. LIH
Keyword(s):  
Perturbation Theory ◽  
Quark Model ◽  
Chiral Perturbation Theory ◽  
Form Factors ◽  
Light Front ◽  
Chiral Perturbation ◽  
Decay Spectrum

The form factors of the K+ → γ transition are studied in the light-front quark model and chiral perturbation theory of O(p6). The decay spectrum of K+ → e+νeγ, dominated by the structure dependent contribution, is illustrated in both models.

scholarly journals CHIRAL PERTURBATION THEORY IN THE FRAMEWORK OF NONCOMMUTATIVE GEOMETRY

1996 ◽  
Vol 11 (08) ◽  
pp. 1509-1522 ◽  
Author(s):  
FARHAD ARDALAN ◽  
KAMRAN KAVIANI
Keyword(s):  
Perturbation Theory ◽  
Noncommutative Geometry ◽  
Chiral Perturbation Theory ◽  
Skyrme Model ◽  
Coupling Constants ◽  
Chiral Perturbation ◽  
Similar Treatment ◽  
The Right ◽  
Good Agreement

We consider the noncommutative generalization of the chiral perturbation theory. The resultant coupling constants are severely restricted by the model and in good agreement with the data. When applied to the Skyrme model, our scheme reproduces the non-Skyrme term with the right coefficient. We comment on a similar treatment of the linear σ model.

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