SCHWINGER MASS IN RENORMAL-ORDERED CHIRAL PERTURBATION THEORY

The massive Schwinger model may be analyzed by a perturbation expansion in the fermion mass. However, the results of this mass perturbation theory are sensible only for sufficiently small fermion mass. By performing a renormal-ordering, we arrive at a chiral perturbation expansion where the expansion parameter remains small even for large fermion mass. We use this renormal-ordered chiral perturbation theory for a computation of the Schwinger mass and compare our results with lattice computations.

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Chiral perturbation theory in the Schwinger model

Physical Review D ◽

10.1103/physrevd.53.7231 ◽

1996 ◽

Vol 53 (12) ◽

pp. 7231-7238 ◽

Cited By ~ 25

Author(s):

J. P. Vary ◽

T. J. Fields ◽

H.-J. Pirner

Keyword(s):

Perturbation Theory ◽

Chiral Perturbation Theory ◽

Chiral Perturbation ◽

Schwinger Model

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Dilaton chiral perturbation theory and applications

EPJ Web of Conferences ◽

10.1051/epjconf/202225808004 ◽

2022 ◽

Vol 258 ◽

pp. 08004

Author(s):

Maarten Golterman ◽

Yigal Shamir

Keyword(s):

Perturbation Theory ◽

Chiral Perturbation Theory ◽

Large Mass ◽

Fermion Mass ◽

Lattice Data ◽

Chiral Perturbation ◽

Goldstone Bosons ◽

Systematic Expansion ◽

Light Scalar ◽

Future Work

We review dilaton chiral perturbation theory (dChPT), the effective low-energy theory for the light sector of near-conformal, confining theories. dChPT provides a systematic expansion in both the fermion mass and the distance to the conformal window. It accounts for the pions and the light scalar, the approximate Nambu–Goldstone bosons for chiral and scale symmetry, respectively. A unique feature of dChPT is the existence of a large-mass regime in which the theory exhibits approximate hyperscaling, while the expansion nevertheless remains systematic. We discuss applications to lattice data, presenting successes as well as directions for future work.

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Accurate nucleon-nucleon potential based upon chiral perturbation theory

10.1063/1.1469952 ◽

2002 ◽

Author(s):

D. R. Entem ◽

R. Machleidt

Keyword(s):

Perturbation Theory ◽

Chiral Perturbation Theory ◽

Nucleon Nucleon ◽

Chiral Perturbation ◽

Nucleon Potential

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

Journal of High Energy Physics ◽

10.1007/jhep08(2021)024 ◽

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.

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

International Journal of Modern Physics A ◽

10.1142/s0217751x19501136 ◽

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.

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