Bifurcation of the quark self-energy: Infrared and ultraviolet cutoffs

D. Atkinson; P. W. Johnson

doi:10.1103/PhysRevD.35.1943

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Bifurcation of the quark self-energy: Infrared and ultraviolet cutoffs

D. Atkinson and P. W. Johnson

Institute for Theoretical Physics, P.O. Box 800, 9700 AV Groningen, The Netherlands

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Phys. Rev. D 35, 1943 – Published 15 March, 1987

DOI: https://doi.org/10.1103/PhysRevD.35.1943

Abstract

The quark self-energy in massless QCD is studied in the approximation that both the quark-gluon vertex and the gluon propagator remain bare. It is shown that chiral invariance is not spontaneously broken at a critical coupling $λ_{c}$ >0, unless both infrared and ultraviolet cutoffs are introduced.

References (5)

D. Atkinson and D. W. E. Blatt, Nucl. Phys. B151, 342 (1979).
T. Maskawa and H. Nakajima, Prog. Theor. Phys. 52, 1326 (1974); ibid. 54, 860 (1975).
K. Higashijima, Phys. Rev. D 29, 1228 (1984).
D. Atkinson, P. W. Johnson, and M. Koopmans, Groningen report, 1986 (unpublished).
J. Cornwall, Phys. Rev. D 26, 1453 (1982).

[c1] D. Atkinson and D. W. E. Blatt, Nucl. Phys. B151, 342 (1979).

[c2] T. Maskawa and H. Nakajima, Prog. Theor. Phys. 52, 1326 (1974); ibid. 54, 860 (1975).

[c3] K. Higashijima, Phys. Rev. D 29, 1228 (1984).

[c4] D. Atkinson, P. W. Johnson, and M. Koopmans, Groningen report, 1986 (unpublished).

[c5] J. Cornwall, Phys. Rev. D 26, 1453 (1982).

Physical Review D

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Bifurcation of the quark self-energy: Infrared and ultraviolet cutoffs

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