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On the dynamical breaking of chiral symmetry: a new mechanism · Around

2007

On the dynamical breaking of chiral symmetry: a new mechanism

Gabrielli, Emidio

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We consider a U(1) gauge theory, minimally coupled to a massless Dirac field, where a higher-derivative term is added to the pure gauge sector, as in the Lee-Wick models.

We find that this term can trigger chiral symmetry breaking at low energy in the weak coupling regime.
Then, the fermion field acquires a mass that turns out to be a function of both the energy scale associated to the higher-derivative term and the gauge coupling.
The dependence of the fermion mass on the gauge coupling is non-perturbative.

Built on

Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122
1961
Earlier work this paper cites.
T. D. Lee and G. C. Wick, Nucl. Phys. B 9
1969
Earlier work this paper cites.
R. E. Cutkosky, P. V. Landshoff, D. I. Olive and J. C. Polkinghorne, Nucl. Phys. B 12
1969
Earlier work this paper cites.

Similar

T. D. Lee and G. C. Wick, Phys. Rev. D 2
1970
Cited alongside, same era.
N. Nakanishi, Phys. Rev. D 3
1971
Cited alongside, same era.
T. D. Lee and G. C. Wick, Phys. Rev. D 3
1971
Cited alongside, same era.
B. Grinstein, D. O’Connell and M. B. Wise, arXiv:0704.1845 [hep-ph]
Original
Cited in the paper.
B. Grinstein and D. O’Connell, arXiv:0801.4034 [hep-ph]
Original
Cited in the paper.

Then

N. Nakanishi, Phys. Rev. D 3
1971
Later among the works it cites.
K. Jansen, J. Kuti and C. Liu, Phys. Lett. B 309
Original
1993
Later among the works it cites.
T. G. Rizzo, JHEP 0706
Original
2007
Closest in time.

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