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2009

Renormalization group in Lifshitz-type theories

Iengo, Roberto, Russo, Jorge G., Serone, Marco

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We study the one-loop renormalization and evolution of the couplings in scalar field theories of the Lifshitz type, i.e.

with different scaling in space and time.
These theories are unitary and renormalizable, thanks to higher spatial derivative terms that modify the particle propagator at high energies, but at the expense of explicitly breaking Lorentz symmetry.
We study if and under what conditions the Lorentz symmetry can be considered as emergent at low energies by studying the RG evolution of the ``speed of light'' coupling $c^2_\phi$ and, for more than one field, of $\delta c^2\equiv c^2_{\phi_1}-c^2_{\phi_2}$ in simple models.

Renormalization group in Lifshitz-type theories · Around

Built on

E.M. Lifshitz, ”On the theory of second-order phase transitions I, II”, Zh. Eksp. Teor. Fiz. 11 (1941) 255 and 269
1941
Earlier work this paper cites.
S. Chadha and H. B. Nielsen, “Lorentz Invariance As A Low-Energy Phenomenon,” Nucl. Phys. B
1983
Earlier work this paper cites.
M.E. Peskin and D.V. Schroeder, “An Introduction to Quantum Field Theory”, chap. 12, Westview Press, 1995
1995
Earlier work this paper cites.
S. R. Coleman and S. L. Glashow, “High-Energy Tests of Lorentz Invariance,” Phys. Rev. D
1999
Earlier work this paper cites.

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