Chiral Symmetry as an Experimental Science

Donoghue, John F.

doi:10.1007/978-1-4615-9579-3_3

Cited by 6 publications

(2 citation statements)

References 18 publications

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“…One calls this phenomenon spontaneous breakdown of the symmetry. Only the vector charges annihilate the vacuum -that is good old flavor SU (3). Of course, the information about the axial charges is not lost.…”

Section: Chiral Symmetry and Its Spontaneous Breakdownmentioning

confidence: 99%

Chiral Perturbation Theory With Nucleons

Meißner

1992

Int. J. Mod. Phys. E

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I review the constraints posed on the interactions of pions, nucleons and photons by the spontaneously broken chiral symmetry of QCD. The framework to perform these calculations, chiral perturbation theory, is briefly discussed in the meson sector. The method is a simultaneous expansion of the Greens functions in powers of external momenta and quark masses around the massless case, the chiral limit. To perform this expansion, use is made of a phenomenological Lagrangian which encodes the Ward–identities and pertinent symmetries of QCD. The concept of chiral power counting is introduced. The main part of the lectures consists in describing how to include baryons (nucleons) and how the chiral structure is modified by the fact that the nucleon mass in the chiral limit does not vanish. Particular emphasis is put on working out applications to show the strengths and limitations of the method. Some processes which are discussed are threshold photopion production, low-energy Compton scattering off nucleons, πN scattering and the σ–term. The implications of the broken chiral symmetry on the nuclear forces are briefly described. An alternative approach, in which the baryons are treated as very heavy fields, is touched upon.

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Section: Chiral Symmetry and Its Spontaneous Breakdownmentioning

confidence: 99%

Chiral Perturbation Theory With Nucleons

Meißner

1992

Int. J. Mod. Phys. E

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“…which is more simple than the initial one 6 . Now let us turn to a consideration of the general form of three-leg vertex in effective theory.…”

Section: Three-leg Effective Vertexmentioning

confidence: 98%

Complete set of essential parameters of an effective theory

Ioffe

Vereshagin

2018

Phys. Rev. D

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(2006)] devoted to the systematic study of effective scattering theories. We consider matrix elements of the effective Lagrangian monomials (in the interaction picture) of arbitrary high dimension D and show that the full set of corresponding coupling constants contains parameters of both kinds: essential and redundant. Since it would be pointless to formulate renormalization prescriptions for redundant parameters, it is necessary to select the full set of the essential ones. This is done in the present paper for the case of the single scalar field.

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Three-nucleon forces and the three-nucleon systems

Friar

1993

Czech J Phys

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Chiral Symmetry as an Experimental Science

Cited by 6 publications

References 18 publications

Chiral Perturbation Theory With Nucleons

Chiral Perturbation Theory With Nucleons

Complete set of essential parameters of an effective theory

Three-nucleon forces and the three-nucleon systems

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