Abstract
We point out that the scenario for UV completion by “classicalization”, proposed recently is in fact Wilsonian in the classical Wilsonian sense. It corresponds to the situation when a field theory has a nontrivial UV fixed point governed by a higher dimensional operator. Provided the kinetic term is a relevant operator around this point the theory will flow in the IR to the free scalar theory. Physically, “classicalization”, if it can be realized, would correspond to a situation when the fluctuations of the field operator in the UV are smaller than in the IR. As a result there exists a clear tension between the “classicalization” scenario and constraints imposed by unitarity on a quantum field theory, making the existence of classicalizing unitary theories questionable.
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References
G. Dvali, G.F. Giudice, C. Gomez and A. Kehagias, UV-completion by classicalization, JHEP 08 (2011) 108 [arXiv:1010.1415] [INSPIRE].
G. Dvali and D. Pirtskhalava, Dynamics of unitarization by classicalization, Phys. Lett. B 699 (2011) 78 [arXiv:1011.0114] [INSPIRE].
G. Dvali, Classicalize or not to classicalize?, arXiv:1101.2661 [INSPIRE].
G. Dvali, A. Franca and C. Gomez, Road signs for UV-completion, arXiv:1204.6388 [INSPIRE].
J. Rizos, N. Tetradis and G. Tsolias, Classicalization as a tunnelling phenomenon, JHEP 08 (2012) 054 [arXiv:1206.3785] [INSPIRE].
A. Kovner and U.A. Wiedemann, Nonlinear QCD evolution: saturation without unitarization, Phys. Rev. D 66 (2002) 051502 [hep-ph/0112140] [INSPIRE].
A. Kovner and U.A. Wiedemann, Perturbative saturation and the soft Pomeron, Phys. Rev. D 66 (2002) 034031 [hep-ph/0204277] [INSPIRE].
M.A. Luty, J. Polchinski and R. Rattazzi, The a-theorem and the asymptotics of 4D quantum field theory, arXiv:1204.5221 [INSPIRE].
A.B. Zamolodchikov, Irreversibility of the flux of the renormalization group in a 2D field theory, JETP Lett. 43 (1986) 730 [INSPIRE].
J.L. Cardy, Is there a c-theorem in four-dimensions?, Phys. Lett. B 215 (1988) 749 [INSPIRE].
Z. Komargodski and A. Schwimmer, On renormalization group flows in four dimensions, JHEP 12 (2011) 099 [arXiv:1107.3987] [INSPIRE].
Z. Komargodski, The constraints of conformal symmetry on RG flows, JHEP 07 (2012) 069 [arXiv:1112.4538] [INSPIRE].
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion, JHEP 10 (2006) 014 [hep-th/0602178] [INSPIRE].
C.M. Bender and P.D. Mannheim, No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model, Phys. Rev. Lett. 100 (2008) 110402 [arXiv:0706.0207] [INSPIRE].
B. Rosenstein, B. Warr and S.H. Park, Dynamical symmetry breaking in four Fermi interaction models, Phys. Rept. 205 (1991) 59 [INSPIRE].
A. Kovner and B. Rosenstein, Finite fixed points: rule rather than exception, Phys. Lett. B 261 (1991) 97 [INSPIRE].
G. Mack, All unitary ray representations of the conformal group SU(2,2) with positive energy, Commun. Math. Phys. 55 (1977) 1 [INSPIRE].
B. Grinstein, K.A. Intriligator and I.Z. Rothstein, Comments on unparticles, Phys. Lett. B 662 (2008) 367 [arXiv:0801.1140] [INSPIRE].
G. Dvali and C. Gomez, Self-completeness of Einstein gravity, arXiv:1005.3497 [INSPIRE].
T. Biswas, E. Gerwick, T. Koivisto and A. Mazumdar, Towards singularity and ghost free theories of gravity, Phys. Rev. Lett. 108 (2012) 031101 [arXiv:1110.5249] [INSPIRE].
S.M. Carroll, M. Hoffman and M. Trodden, Can the dark energy equation-of-state parameter w be less than −1?, Phys. Rev. D 68 (2003) 023509 [astro-ph/0301273] [INSPIRE].
A. Vikman, Suppressing quantum fluctuations, arXiv:1208.3647 [INSPIRE].
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Kovner, A., Lublinsky, M. Classicalization and unitarity. J. High Energ. Phys. 2012, 30 (2012). https://doi.org/10.1007/JHEP11(2012)030
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DOI: https://doi.org/10.1007/JHEP11(2012)030