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Boundary conditions for scalars in Lifshitz

Andrade, Tomas; Ross, Simon F.

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Tomas Andrade


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.


Andrade, T., & Ross, S. F. (2013). Boundary conditions for scalars in Lifshitz. Classical and Quantum Gravity, 30(6), Article 065009.

Journal Article Type Article
Publication Date Mar 1, 2013
Deposit Date Sep 6, 2013
Publicly Available Date Dec 21, 2013
Journal Classical and Quantum Gravity
Print ISSN 0264-9381
Electronic ISSN 1361-6382
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 30
Issue 6
Article Number 065009


Accepted Journal Article (560 Kb)

Copyright Statement
© 2013 IOP Publishing

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