Krein G, Menezes G, Svaiter NF. Analog model for quantum gravity effects: phonons in random fluids.
PHYSICAL REVIEW LETTERS 2010;
105:131301. [PMID:
21230759 DOI:
10.1103/physrevlett.105.131301]
[Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/20/2010] [Indexed: 05/30/2023]
Abstract
We describe an analog model for quantum gravity effects in condensed matter physics. The situation discussed is that of phonons propagating in a fluid with a random velocity wave equation. We consider that there are random fluctuations in the reciprocal of the bulk modulus of the system and study free phonons in the presence of Gaussian colored noise with zero mean. We show that, in this model, after performing the random averages over the noise function a free conventional scalar quantum field theory describing free phonons becomes a self-interacting model.
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