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Boundary conditions for scalars in Lifshitz.

Andrade, Tomas and Ross, Simon F. (2013) 'Boundary conditions for scalars in Lifshitz.', Classical and quantum gravity., 30 (6). 065009.


We consider the quantization of scalar fields on a Lifshitz background, exploring the possibility of alternative boundary conditions, allowing the slow falloff mode to fluctuate. We show that the scalar field with alternative boundary conditions is normalizable for a larger range of masses than in the AdS case. However, we then find a new instability for alternative boundary conditions, implying that the range of masses where alternative boundary conditions define a well-behaved dual theory is m2BF < m2 < m2BF + 1, analogously to the AdS case. The instability is of a novel type, with modes of arbitrarily large momentum which grow exponentially in time; it is therefore essentially a UV effect, and implies that the dual field theory is simply not defined where it appears. We discuss the interpretation in the dual field theory, and give a proposed lower bound on the dimension of scalar operators.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Publisher statement:© 2013 IOP Publishing
Date accepted:No date available
Date deposited:21 December 2013
Date of first online publication:March 2013
Date first made open access:No date available

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