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2017

A new formulation of Lee-Wick quantum field theory

Anselmi, Damiano, Piva, Marco

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The Lee-Wick models are higher-derivative theories that are claimed to be unitary thanks to a peculiar cancelation mechanism.

In this paper, we provide a new formulation of the models, to clarify several aspects that have remained quite mysterious, so far.
Specifically, we define them as nonanalytically Wick rotated Euclidean theories.
The complex energy plane is divided into disconnected regions, which can be related to one another by a well-defined, albeit nonanalytic procedure.

A new formulation of Lee-Wick quantum field theory · Around

Built on

T.D. Lee and G.C. Wick, Negative metric and the unitarity of the S-matrix, Nucl. Phys. B 9 (1969) 209
1969
Earlier work this paper cites.
R.E. Cutkosky, P.V. Landshoff, D.I. Olive, and J.C. Polkinghorne, A non-analytic S-matrix, Nucl. Phys. B 12 (1969) 281
1969
Earlier work this paper cites.
T.D. Lee and G.C. Wick, Finite theory of quantum electrodynamics, Phys. Rev. D 2 (1970) 1033
1970
Earlier work this paper cites.
R.E. Cutkosky, Singularities and discontinuities of Feynman amplitudes, J. Math. Phys. (NY) 1 (1960) 429; M. Veltman, Unitarity and causality in a renormalizable field theory with unstable particles, Physica 29 (1963) 186; G. ’t Hooft, Renormalization of massless Yang-Mills fields, Nucl. Phys. B 33 (1971) 173; G. ’t Hooft, Renormalizable Lagrangians for massive Yang-Mills fields, Nucl. Phys. B 35 (1971) 167
1971
Earlier work this paper cites.

Similar

N. Nakanishi, Lorentz noninvariance of the complex-ghost relativistic field theory, Phys. Rev. D 3, 811 (1971)
1971
Cited alongside, same era.
K.S. Stelle, Renormalization of higher derivative quantum gravity, Phys. Rev. D 16 (1977) 953; E. S. Fradkin and A. A. Tseytlin, Renormalizable asymptotically free quantum theory of gravity, Nucl. Phys. B 201 (1982) 469
1982
Cited alongside, same era.
B. Grinstein, D. O’Connell and M.B. Wise, Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model, Phys. Rev. D 79 (2009) 105019 and arXiv:0805.2156 [hep-th]
Original
2009
Cited alongside, same era.
B. Grinstein, D. O’Connell, and M.B. Wise, The Lee-Wick standard model, Phys. Rev. D77 (2008) 025012 and arXiv:0704.1845 [hep-ph]; C.D. Carone and R.F. Lebed, Minimal Lee-Wick extension of the standard model, Phys. Lett. B668 (2008) 221 and arXiv:0806.4555 [hep-ph]; J.R. Espinosa and B. Grinstein, Ultraviolet properties of the Higgs sector in the Lee-Wick standard model, Phys. Rev. D83 (2011) 075019 and arXiv:1101.5538 [hep-ph]; C.D. Carone and R.F. Lebed, A higher-derivative Lee-Wick standard model, JHEP 0901 (2009) 043 and arXiv:0811.4150 [hep-ph]
Original
2009
Cited alongside, same era.

Then

B. Grinstein and D. O’Connell, One-Loop Renormalization of Lee-Wick Gauge Theory, Phys. Rev. D78 (2008) 105005 and arXiv:0801.4034 [hep-ph]; C. D. Carone, Higher-derivative Lee-Wick unification, Phys. Lett. B677 (2009) 306, and arXiv:0904.2359 [hep-ph]
Original
2009
Later among the works it cites.
E. Tomboulis, 1/N expansion and renormalization in quantum gravity, Phys. Lett. B 70 (1977) 361; E. Tomboulis, Renormalizability and asymptotic freedom in quantum gravity, Phys. Lett. B 97 (1980) 77; Shapiro and L. Modesto, Superrenormalizable quantum gravity with complex ghosts, Phys. Lett. B755 (2016) 279-284 and arXiv:1512.07600 [hep-th]; L. Modesto, Super-renormalizable or finite Lee–Wick quantum gravity, Nucl. Phys. B909 (2016) 584 and arXiv:1602.02421 [hep-th]
Original
2016
Later among the works it cites.
U.G. Aglietti and D. Anselmi, Inconsistency of Minkowski higher-derivative theories, Eur. Phys. J. C 77 (2017) 84, 16A2 Renormalization.com and arXiv:1612.06510 [hep-th]
Original
2017
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D. Anselmi and M. Piva, Perturbative unitarity of Lee-Wick models, 17A2 Renormalization.com and arXiv:1703.05563 [hep-th]

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